{"id":6356,"date":"2021-06-04T16:17:27","date_gmt":"2021-06-04T20:17:27","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/mycopy\/?post_type=chapter&#038;p=6356"},"modified":"2021-08-25T15:25:25","modified_gmt":"2021-08-25T19:25:25","slug":"measurement","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/mycopy\/chapter\/measurement\/","title":{"raw":"6.1 Measurement; Health Applications","rendered":"6.1 Measurement; Health Applications"},"content":{"raw":"[latexpage]\r\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Learning Objectives<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nBy the end of this section it is expected that you will be able to:\r\n<ul>\r\n \t<li>Make unit conversions in the imperial system<\/li>\r\n \t<li>Make unit conversions in the metric system<\/li>\r\n \t<li>Convert between the imperial and the metric systems of measurement<\/li>\r\n \t<li>Convert between Fahrenheit and Celsius temperatures<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<h1 data-type=\"title\">Make Unit Conversions in the Imperial System<\/h1>\r\n<p id=\"fs-id1170653740434\">There are two systems of measurement commonly used around the world. Metric system used by most countries and imperial system used by the United States. Even though since 1970, Canada tried to switch to the metric system, the imperial system of measurements is still used in Canada.\u00a0 We will look at the imperial system first.<\/p>\r\n<p id=\"fs-id1170653846703\">The imperial system of measurement uses units of inch, foot, yard, and mile to measure length and pound and ton to measure weight. For capacity, the units used are cup, pint, quart, and gallons. Both the imperial system and the metric system measure time in seconds, minutes, and hours.<\/p>\r\nThe equivalencies of measurements are shown in the table below. The table also shows, in parentheses, the common abbreviations for each measurement.\r\n<table id=\"fs-id1170654027716\" class=\"grid\" style=\"width: 100%;\" summary=\"This table shows the US System of Measurement. Each cell contains information about length, weight, volume, and time, respectively. The length cell notes that foot (ft.) equals inches (in.), yard (yd.) equals feet (ft.), and mile (mi.) equals feet (ft.). The volume cell notes that 3 teaspoons (t) equals 1 tablespoon (T), 16 tablespoons (T) equals 1 cup (C), 1 cup (C) equals 8 fluid ounces (fl. oz.), 1 pint (pt.) equals 2 cups (C), 1 quart (qt.) equals 2 pints (pt.), and 1 gallon (gal) equals 4 quarts (qt.). The weight cell notes that 1 pound (lb.) equals 16 ounces (oz.) and 1 ton equals 2000 pounds (lb.). Finally, the time cell notes that 1 minute (min) equals 60 seconds (sec), 1 hour (hr) equals 60 minutes (min), 1 day equals 24 hours (hr), 1 week (wk) equals 7 days, and 1 year (yr) equals 365 days.\"><caption>Imperial System of Measurement<\/caption>\r\n<tbody>\r\n<tr valign=\"top\">\r\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Length}}\\hfill &amp; &amp; \\begin{array}{ccc}1\\phantom{\\rule{0.2em}{0ex}}\\text{foot}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill &amp; =\\hfill &amp; 12\\phantom{\\rule{0.2em}{0ex}}\\text{inches}\\phantom{\\rule{0.2em}{0ex}}\\text{(in.)}\\hfill \\\\ 1\\phantom{\\rule{0.2em}{0ex}}\\text{yard}\\phantom{\\rule{0.2em}{0ex}}\\text{(yd.)}\\hfill &amp; =\\hfill &amp; 3\\phantom{\\rule{0.2em}{0ex}}\\text{feet}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill \\\\ 1\\phantom{\\rule{0.2em}{0ex}}\\text{mile}\\phantom{\\rule{0.2em}{0ex}}\\text{(mi.)}\\hfill &amp; =\\hfill &amp; 5,280\\phantom{\\rule{0.2em}{0ex}}\\text{feet}\\phantom{\\rule{0.2em}{0ex}}\\text{(ft.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Volume}}\\hfill &amp; &amp; \\begin{array}{ccc}3\\phantom{\\rule{0.2em}{0ex}}\\text{teaspoons}\\phantom{\\rule{0.2em}{0ex}}\\text{(t)}\\hfill &amp; =\\hfill &amp; 1\\phantom{\\rule{0.2em}{0ex}}\\text{tablespoon}\\phantom{\\rule{0.2em}{0ex}}\\text{(T)}\\hfill \\\\ \\text{16 tablespoons}\\phantom{\\rule{0.2em}{0ex}}\\text{(T)}\\hfill &amp; =\\hfill &amp; \\text{1 cup}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill \\\\ \\text{1 cup}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill &amp; =\\hfill &amp; \\text{8 fluid ounces}\\phantom{\\rule{0.2em}{0ex}}\\text{(fl. oz.)}\\hfill \\\\ \\text{1 pint}\\phantom{\\rule{0.2em}{0ex}}\\text{(pt.)}\\hfill &amp; =\\hfill &amp; \\text{2 cups}\\phantom{\\rule{0.2em}{0ex}}\\text{(C)}\\hfill \\\\ \\text{1 quart}\\phantom{\\rule{0.2em}{0ex}}\\text{(qt.)}\\hfill &amp; =\\hfill &amp; \\text{2 pints}\\phantom{\\rule{0.2em}{0ex}}\\text{(pt.)}\\hfill \\\\ \\text{1 gallon}\\phantom{\\rule{0.2em}{0ex}}\\text{(gal)}\\hfill &amp; =\\hfill &amp; \\text{4 quarts}\\phantom{\\rule{0.2em}{0ex}}\\text{(qt.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<\/tr>\r\n<tr valign=\"top\">\r\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Weight}}\\hfill &amp; &amp; \\begin{array}{ccc}\\text{1 pound}\\phantom{\\rule{0.2em}{0ex}}\\text{(lb.)}\\hfill &amp; =\\hfill &amp; \\text{16 ounces}\\phantom{\\rule{0.2em}{0ex}}\\text{(oz.)}\\hfill \\\\ \\text{1 ton}\\hfill &amp; =\\hfill &amp; \\text{2000 pounds}\\phantom{\\rule{0.2em}{0ex}}\\text{(lb.)}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{ccc}\\mathbf{\\text{Time}}\\hfill &amp; &amp; \\phantom{\\rule{1em}{0ex}}\\begin{array}{ccc}\\text{1 minute}\\phantom{\\rule{0.2em}{0ex}}\\text{(min)}\\hfill &amp; =\\hfill &amp; \\text{60 seconds}\\phantom{\\rule{0.2em}{0ex}}\\text{(sec)}\\hfill \\\\ \\text{1 hour}\\phantom{\\rule{0.2em}{0ex}}\\text{(hr)}\\hfill &amp; =\\hfill &amp; \\text{60 minutes}\\phantom{\\rule{0.2em}{0ex}}\\text{(min)}\\hfill \\\\ \\text{1 day}\\hfill &amp; =\\hfill &amp; \\text{24 hours}\\phantom{\\rule{0.2em}{0ex}}\\text{(hr)}\\hfill \\\\ \\text{1 week}\\phantom{\\rule{0.2em}{0ex}}\\text{(wk)}\\hfill &amp; =\\hfill &amp; \\text{7 days}\\hfill \\\\ \\text{1 year}\\phantom{\\rule{0.2em}{0ex}}\\text{(yr)}\\hfill &amp; =\\hfill &amp; \\text{365 days}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1170654047456\">In many medical applications, we need to convert between units of measurement, such as feet and inches, minutes and seconds, pounds and ounces, etc. We will use the identity property of multiplication to do these conversions. We\u2019ll restate the identity property of multiplication here for easy reference.<\/p>\r\n\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Identity Property of Multiplication<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFor any real number \\(a\\):\r\n\r\n\\(a\\cdot1=a\\)\r\n\r\n\\(1\\cdot a=a\\)\r\n\r\n1 is the <strong>multiplicative identity<\/strong>.\r\n\r\n<\/div>\r\n<\/div>\r\n<p id=\"fs-id1170653791367\">To use the identity property of multiplication, we write 1 in a form that will help us convert the units. For example, suppose we want to change inches to feet. We know that 1 foot is equal to 12 inches, so we will write 1 as the fraction \\(\\dfrac{1\\text{ foot}}{12\\text{ inches}}\\). When we multiply by this fraction we do not change the value, but just change the units.<\/p>\r\n<p id=\"fs-id1170653875590\">But \\(\\dfrac{12\\text{ inches}}{1\\text{ foot}}\\) also equals 1. How do we decide whether to multiply by \\(\\dfrac{1\\text{ foot}}{12\\text{ inches}}\\) or \\(\\dfrac{12\\text{ inches}}{1\\text{ foot}}\\)? We choose the fraction that will make the units we want to convert <em data-effect=\"italics\">from<\/em> divide out. Treat the unit words like <span class=\"no-emphasis\" data-type=\"term\">factors<\/span> and \u201cdivide out\u201d common units like we do common factors. If we want to convert \\(66\\) inches to feet, which multiplication will eliminate the inches?<\/p>\r\n<span id=\"fs-id1170653895402\" data-type=\"media\" data-alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\"><img class=\"aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_016_img_new.jpg\" alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\" data-media-type=\"image\/jpeg\" \/><\/span>\r\n<p id=\"fs-id1170653851306\">The inches divide out and leave only feet. The second form does not have any units that will divide out and so will not help us.<\/p>\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653749262\" data-type=\"exercise\">\r\n<div id=\"fs-id1170652619424\" data-type=\"problem\">\r\n\r\nMaryAnne is 66 inches tall. Convert her height into feet.\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653806518\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<div data-type=\"title\"><\/div>\r\n<span id=\"fs-id1170654071984\" data-type=\"media\" data-alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017a_img_new.jpg\" alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654026865\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017b_img_new.jpg\" alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654030491\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017c_img_new.jpg\" alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170653797102\" data-type=\"media\" data-alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017d_img_new.jpg\" alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\" data-media-type=\"image\/jpeg\" \/><\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653845964\" class=\"try\" data-type=\"note\">\r\n<div data-type=\"exercise\">\r\n<div id=\"fs-id1170654069080\" data-type=\"problem\">\r\n<p id=\"fs-id1170654235450\">Lexie is 30 inches tall. Convert her height to feet.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654202421\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170653768687\">2.5 feet<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170654075151\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170654037129\" data-type=\"exercise\">\r\n<div data-type=\"problem\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">HOW TO: Make unit conversions<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<ol>\r\n \t<li>Multiply the measurement to be converted by 1; write 1 as a fraction relating the units given and the units needed.<\/li>\r\n \t<li>Multiply.<\/li>\r\n \t<li>Simplify the fraction.<\/li>\r\n \t<li>Simplify.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nEli's six months son is\u00a0 102.4 ounces. Convert his weight to pounds.\r\n\r\n<strong>Solution<\/strong>\r\n\r\nTo convert ounces into pounds we will multiply by conversion factors of 1.\r\n<table id=\"eip-id1169753123087\" style=\"width: 100%;\" summary=\"We are given the quantity 9 weeks. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cWrite 1 as 7 days over 1 week, 24 hours over 1 day, and 60 minutes over 1 hour.\u201d To the right of this we have (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour). In the following row, we have \u201cCancel common units.\u201d The math portion is again (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour), but with the weeks, days, and hours cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (9 times 7 times 24 times 60 minutes) over (1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 90,720 minutes.\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">102.4 ounces<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write 1 as \\(\\dfrac{1 \\text{ pond}}{16\\text{ ounces}}\\)<\/td>\r\n<td data-align=\"center\">\\(102.4\\text{ ounces}\\times\\dfrac{1 \\text{ pond}}{16\\text{ ounces}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-align=\"left\">Divide out the common units.<\/td>\r\n<td data-align=\"center\"><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\">\\(102.4\\text{ \\cancel{ounces}}\\times\\dfrac{1\\text{ pond}}{16\\text{ \\cancel{ounces}}}\\)<\/span><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td data-align=\"center\">\\(\\dfrac{{102.4}\\text{ pounds}}{16}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td data-align=\"center\">\\(\\text{6.4 pounds}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1170654066877\">Eli's six months son weights 6.4 pounds.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 2<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nOne year old girl weights 11 pounds. Convert her weight to ounces.\r\n\r\n<details><summary>Show answer<\/summary>176 ounces.\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<p id=\"fs-id1170653814859\">When we use the identity property of multiplication to convert units, we need to make sure the units we want to change from will divide out. Usually this means we want the conversion fraction to have those units in the denominator. Sometimes, to convert from one unit to another, we may need to use several other units in between, so we will need to multiply several fractions.<\/p>\r\n\r\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\r\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653889570\" data-type=\"problem\">\r\n<p id=\"fs-id1170653915966\">How many ounces are in 1 gallon?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653868720\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<div data-type=\"title\"><\/div>\r\n<p id=\"fs-id1170654027574\">We will convert gallons to ounces by multiplying by several conversion factors. Refer to the <a class=\"autogenerated-content\" href=\"#fs-id1170654027716\">table on Imperial Systems of Measurement<\/a>.<\/p>\r\n\r\n<table id=\"eip-id1169754171774\" style=\"width: 100%;\" summary=\"We are given the quantity 1 gallon. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by 1.\u201d To the right of this we have (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup). In the following row, we have \u201cUse conversion factors to get to the right unit and simplify.\u201d The math portion is again (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup), but with the gallons, quarts, pints, and cups cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (1 times 4 times 2 times 2 times 8 ounces) over (1 times 1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 128 ounces. There are 128 ounces in a gallon.\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">1 gallon<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply the measurement to be converted by 1.<\/td>\r\n<td data-align=\"center\">\\(\\dfrac{\\text{1 gallon}}{1}\\cdot \\dfrac{\\text{4 quarts}}{\\text{1 gallon}}\\cdot \\dfrac{\\text{2 pints}}{\\text{1 quart}}\\cdot \\dfrac{\\text{2 cups}}{\\text{1 pint}}\\cdot \\dfrac{\\text{8 ounces}}{\\text{1 cup}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-align=\"left\">Use conversion factors to get to the right unit.\r\nSimplify.<\/td>\r\n<td data-align=\"center\"><span id=\"eip-id1169750758852\" data-type=\"media\" data-alt=\".\"><span id=\"eip-id1169753123179\" data-type=\"media\" data-alt=\".\">\\(\\dfrac{\\text{1\\cancel{ gallon}}}{1}\\cdot \\dfrac{\\text{4\\cancel{ quarts}}}{\\text{1\\cancel{ gallon}}}\\cdot \\dfrac{\\text{2 \\cancel{pints}}}{\\text{1 \\cancel{quart}}}\\cdot \\dfrac{\\text{2 \\cancel{cups}}}{\\text{1 \\cancel{pint}}}\\cdot \\dfrac{\\text{8 ounces}}{\\text{1 \\cancel{cup}}}\\)<\/span><\/span><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td data-align=\"center\">\\(\\dfrac{1\\cdot 4\\cdot 2\\cdot 2\\cdot \\text{8 ounces}}{1\\cdot 1\\cdot 1\\cdot 1\\cdot 1}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td data-align=\"center\">\\(\\text{128 ounces}\\)\r\nThere are 128 ounces in a gallon.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 3<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653773259\" data-type=\"problem\">\r\n<p id=\"fs-id1170653890266\">How many teaspoons are in 1 cup?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653753162\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170653834434\">48 teaspoons<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<h1 data-type=\"title\">Make Unit Conversions in the Metric System<\/h1>\r\n<p id=\"fs-id1170653741424\">In the metric system, units are related by powers of 10. The roots words of their names reflect this relation. For example, the basic unit for measuring length is a metre. One kilometre is 1,000 metres; the prefix <em data-effect=\"italics\">kilo<\/em> means <em data-effect=\"italics\">thousand<\/em>. One centimetre is \\(\\dfrac{1}{100}\\) of a metre, just like one cent is \\(\\dfrac{1}{100}\\) of one dollar.<\/p>\r\n<p id=\"fs-id1170652648089\">The equivalencies of measurements in the metric system are shown in the table below. The common abbreviations for each measurement are given in parentheses.<a id=\"#measurement\"><\/a><\/p>\r\n\r\n<table style=\"border-collapse: collapse; width: 100%; height: 278px;\" border=\"0\"><caption>Metric System of Measurement<\/caption>\r\n<tbody>\r\n<tr style=\"height: 34px;\">\r\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Length<\/th>\r\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Mass<\/th>\r\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Capacity<\/th>\r\n<\/tr>\r\n<tr style=\"height: 34px;\" valign=\"top\">\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilometre (km) = 1,000 m<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilogram (kg) = 1,000 g<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilolitre (kL) = 1,000 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 34px;\" valign=\"top\">\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectometre (hm) = 100 m<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectogram (hg) = 100 g<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectolitre (hL) = 100 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 34px;\">\r\n<td style=\"width: 33.3333%; height: 34px;\">1 dekametre (dam) = 10 m<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\">1 dekagram (dag) = 10 g<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\">1 dekalitre (daL) = 10 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\">1 metre (m) = 1 m<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 gram (g) = 1 g<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 litre (L) = 1 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\">1 decimetre (dm) = 0.1 m<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 decigram (dg) = 0.1 g<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 decilitre (dL) = 0.1 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\">1 centimetre (cm) = 0.01 m<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 centigram (cg) = 0.01 g<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 centilitre (cL) = 0.01 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\">1 millimetre (mm) = 0.001 m<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 milligram (mg) = 0.001 g<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 millilitre (mL) = 0.001 L<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\"><\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 microgram ( mcg) = 0.000001 g<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\"><\/td>\r\n<\/tr>\r\n<tr style=\"height: 34px;\">\r\n<td style=\"width: 33.3333%; height: 34px;\">1 metre = 100 centimetres<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\">1 gram = 100 centigrams<\/td>\r\n<td style=\"width: 33.3333%; height: 34px;\">1 litre = 100 centilitre s<\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"width: 33.3333%; height: 18px;\">1 metre = 1,000 millimetres<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 gram = 1,000 milligrams<\/td>\r\n<td style=\"width: 33.3333%; height: 18px;\">1 litre = 1,000 millilitre s<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1170653833801\">To make conversions in the metric system, we will use the same technique we did in the Imperial system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.<\/p>\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div data-type=\"problem\">\r\n<p id=\"fs-id1170653832767\">Samadia took 800mg of Ibuprofen for her inflammation. How many grams of Ibuprofen did she take?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654176791\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<div data-type=\"title\"><\/div>\r\nWe will convert milligrams to grams using the identity property of multiplication.\r\n<table id=\"eip-id1169752203306\" style=\"width: 100%;\" summary=\"We have the quantity 10 kilometres. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 10 km times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilometres and metres.\u201d To the right, we have 10 km times the fraction 1000 metres over 1 kilometre. Below that, we are told to \u201cSimplify.\u201d To the right, we have the fraction (10 km times 1000 metres) over 1 kilometre, but the kilometre units are crossed off. Finally, our last instruction is to \u201cMultiply.\u201d Hence, we obtain 10,000 m.\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">800 milligrams<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply the measurement to be converted by 1.<\/td>\r\n<td><span id=\"eip-id1169752203335\" data-type=\"media\" data-alt=\".\">800 milligrams \u00d7 1<\/span><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write 1 as a fraction relating kilometres and metres.<\/td>\r\n<td>\\(800\\text{ milligrams}\\times\\dfrac{1\\text{ gram}}{1000\\text{ milligrams}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\">\\(800\\text{ \\cancel{milligrams}}\\times\\dfrac{1\\text{ gram}}{1000\\text{ \\cancel{milligrams}}}\\)<\/span><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>0.8 grams<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>Samadia took 0.8 grams of Ibuprofen.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 4<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653741057\" data-type=\"problem\">\r\n<p id=\"fs-id1170653985161\">Klaudia took 0.125 grams of Ibuprofen for his headache. How many milligrams of the medication did she take?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654016694\" data-type=\"solution\"><details><summary>Show answer<\/summary>125 milligrams\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\r\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170654203077\" data-type=\"problem\">\r\n<p id=\"fs-id1170653870855\">Eleanor\u2019s newborn baby weighed 3,200 grams. How many kilograms did the baby weigh?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653834770\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<div data-type=\"title\"><\/div>\r\n<p id=\"fs-id1170654016052\">We will convert grams into kilograms.<\/p>\r\n\r\n<table id=\"eip-id1169750760364\" style=\"height: 158px; width: 100%;\" summary=\"We have the quantity 3200 grams. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 3200 g times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilograms and grams.\u201d To the right, we have 3200 g times the fraction 1 kg over 1000 g. Below that, we are told to \u201cSimplify.\u201d To the right, we again have 3200 g times the fraction 1 kg over 1000 g, but the gram units are crossed off. Our next instruction is to \u201cMultiply.\u201d To the right we have 3200 kilograms over 1000. Finally, our last instruction is to \u201cDivide.\u201d Hence, we obtain 3.2 kilograms.\" data-label=\"\">\r\n<tbody>\r\n<tr style=\"height: 18px;\">\r\n<td style=\"height: 18px; width: 359.406px;\"><\/td>\r\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760384\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 18px;\">\r\n<td>Multiply the measurement to be converted by 1.<\/td>\r\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760403\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 39px;\">\r\n<td>Write 1 as a function relating kilograms and grams.<\/td>\r\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760421\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 39px;\">\r\n<td style=\"height: 39px; width: 359.406px;\">Simplify.<\/td>\r\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760440\" data-type=\"media\" data-alt=\".\"><img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"height: 14px; width: 359.406px;\">Multiply.<\/td>\r\n<td style=\"height: 14px; width: 290.406px;\" data-align=\"center\">\\(\\dfrac{\\text{3,200 kilograms}}{1,000}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px;\">\r\n<td style=\"height: 30px; width: 359.406px;\">Divide.<\/td>\r\n<td style=\"height: 30px; width: 290.406px;\" data-align=\"center\">3.2 kilograms\r\nThe baby weighed 3.2 kilograms.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 5<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170654235809\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653898632\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653881980\" data-type=\"problem\">\r\n<p id=\"fs-id1170654047447\">Kari\u2019s newborn baby weighed 2,800 grams. How many kilograms did the baby weigh?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654012324\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170653907924\">2.8 kilograms<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<p id=\"fs-id1170653850159\">As you become familiar with the metric system you may see a pattern. Since the system is based on multiples of ten, the calculations involve multiplying by multiples of ten. We have learned how to simplify these calculations by just moving the decimal.<\/p>\r\nTo multiply by 10, 100, or 1,000, we move the decimal to the right one, two, or three places, respectively. To multiply by 0.1, 0.01, or 0.001, we move the decimal to the left one, two, or three places, respectively.\r\n<p id=\"fs-id1170653792025\">We can apply this pattern when we make measurement conversions in the metric system. In Example 8, we changed 3,200 grams to kilograms by multiplying by \\(\\dfrac{1}{1000}\\) (or 0.001). This is the same as moving the decimal three places to the left.<\/p>\r\n\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"272\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_005_img_new.jpg\" alt=\"We have the statement 3200 g times the fraction 1 kg over 1000 g, with the g\u2019s crossed out. Below this, we have 3.2. We also have the statement 3200 times 1\/1000, with an arrow drawn from the right of the final 0 in 3200 to the space between the 0\u2019s, to the space between the 2 and the 0, and then to the space between the 3 and the 2. Below this, we have 3.2.\" width=\"272\" height=\"95\" data-media-type=\"image\/jpeg\" \/> Figure.1[\/caption]\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653912013\" data-type=\"problem\">\r\n<p id=\"fs-id1170653741035\">The volume of blood coursing throughout an adult human body is about 5 litres. Convert it to millilitres.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654080821\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<div data-type=\"title\"><\/div>\r\nWe will convert litres to millilitres. In the <a class=\"autogenerated-content\" href=\"#measurement\">Metric System of Measurement<\/a> table, we see that \\(\\text{1 litre}=\\text{1,000 millilitres.}\\)\r\n<table id=\"eip-id1169754143940\" style=\"height: 187px; width: 100%;\" summary=\"We have the quantity 350 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to kilolitres.\u201d To the right, we have 350 L times the fraction 1 kL over 1000 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 350 L times the fraction 1 kL over 1000 L, with the L\u2019s crossed out and an arrow drawn from the right of the final 0 in 350 to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. Below that, we are told to \u201cMove the decimal 3 units to the left. (350.)\u201d where there is an arrow drawn from the decimal place in 350. to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. To the right, we have 0.35 kL.\" data-label=\"\">\r\n<tbody>\r\n<tr style=\"height: 16px;\">\r\n<td style=\"height: 16px; width: 269.717px;\"><\/td>\r\n<td style=\"height: 16px; width: 297.95px;\">\\(\\text{5 L}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px;\">\r\n<td style=\"height: 33px; width: 269.717px;\">Multiply by 1, writing 1 as a fraction relating litres to millilitres.<\/td>\r\n<td style=\"height: 33px; width: 297.95px;\">\\(\\text{5 L}\\cdot \\dfrac{\\text{1000 mL}}{\\text{1L}}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 33px;\">\r\n<td style=\"height: 33px; width: 269.717px;\">Simplify.<\/td>\r\n<td style=\"height: 33px; width: 297.95px;\">\\(5\\cancel{\\text{L}}\\cdot \\dfrac{\\text{1000 mL}}{1\\cancel{\\text{L}}}\\)<\/td>\r\n<\/tr>\r\n<tr style=\"height: 105px;\">\r\n<td style=\"height: 105px; width: 269.717px;\"><span id=\"eip-id1169754197015\" data-type=\"media\" data-alt=\".\">Multiply.<\/span><\/td>\r\n<td style=\"height: 105px; width: 297.95px;\">\\(\\text{5000 mL}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<ol id=\"fs-id1166422551215\" class=\"circled\" type=\"a\"><\/ol>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 6<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653833635\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653934363\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653743925\" data-type=\"problem\">\r\n<p id=\"fs-id1170653832489\">Convert 6.3 L to millilitre<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653924052\" data-type=\"solution\"><details><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170654013885\">6,300 millilitres<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<h1 data-type=\"title\">Convert Between the Imperial and the Metric Systems of Measurement<\/h1>\r\nAs Canada uses both system of measurement, we need to be able to convert between the two systems.\r\n<p id=\"fs-id1170654236427\">The table below shows some of the most common conversions.<\/p>\r\n\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\"><caption>Conversion Factors Between Imperial and Metric Systems<\/caption>\r\n<tbody>\r\n<tr valign=\"top\">\r\n<th style=\"width: 37.3708%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Length<\/th>\r\n<th style=\"width: 31.0192%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Mass<\/th>\r\n<th style=\"width: 31.4623%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Capacity<\/th>\r\n<\/tr>\r\n<tr valign=\"top\">\r\n<td style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 in.}\\hfill &amp; =\\hfill &amp; \\text{2.54 cm}\\hfill \\\\ \\text{1 ft.}\\hfill &amp; =\\hfill &amp; \\text{0.305 m}\\hfill \\\\ \\text{1 yd.}\\hfill &amp; =\\hfill &amp; \\text{0.914 m}\\hfill \\\\ \\text{1 mi.}\\hfill &amp; =\\hfill &amp; \\text{1.61 km}\\hfill \\\\ \\text{1 m}\\hfill &amp; =\\hfill &amp; \\text{3.28 ft.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<td style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 lb.}\\hfill &amp; =\\hfill &amp; \\text{0.45 kg}\\hfill \\\\ \\text{1 oz.}\\hfill &amp; =\\hfill &amp; \\text{28 g}\\hfill \\\\ \\text{1 kg}\\hfill &amp; =\\hfill &amp; \\text{2.2 lb.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<td style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"left\">\\(\\begin{array}{c}\\begin{array}{ccc}\\text{1 qt.}\\hfill &amp; =\\hfill &amp; \\text{0.95 L}\\hfill \\\\ \\text{1 fl. oz.}\\hfill &amp; =\\hfill &amp; \\text{30 mL}\\hfill \\\\ \\text{1 L}\\hfill &amp; =\\hfill &amp; \\text{1.06 qt.}\\hfill \\end{array}\\hfill \\end{array}\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p id=\"fs-id1170653893032\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_008\">(Figure.2)<\/a> shows how inches and centimetres are related on a ruler.<\/p>\r\n\r\n<div id=\"CNX_ElemAlg_Figure_01_10_008\" class=\"bc-figure figure\">\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"419\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_008_img_new.jpg\" alt=\"A ruler with inches and centimetres.\" width=\"419\" height=\"73\" data-media-type=\"image\/jpeg\" \/> Figure.2[\/caption]\r\n\r\n<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_009\">(Figure.3)<\/a> shows the ounce and millilitre markings on a measuring cup.\r\n<div id=\"CNX_ElemAlg_Figure_01_10_009\" class=\"bc-figure figure\">\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"266\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_009_img_new.jpg\" alt=\"A measuring cup showing millilitre s and ounces.\" width=\"266\" height=\"221\" data-media-type=\"image\/jpeg\" \/> Figure.3[\/caption]\r\n<p id=\"fs-id1170653736108\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_010\">(Figure.4)<\/a> shows how pounds and kilograms marked on a bathroom scale.<\/p>\r\n\r\n<div id=\"CNX_ElemAlg_Figure_01_10_010\" class=\"bc-figure figure\">\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"527\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_010_img_new.jpg\" alt=\"We are given an image of a bathroom scale showing pounds.\" width=\"527\" height=\"258\" data-media-type=\"image\/jpeg\" \/> Figure.4[\/caption]\r\n<p id=\"fs-id1170653876302\">We make conversions between the systems just as we do within the systems\u2014by multiplying by unit conversion factors.<\/p>\r\n\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653899040\" data-type=\"problem\">\r\n<p id=\"fs-id1170654149168\">Plastic bag used for transfusion holds 500 mL of packed red cells. How many ounces are in the bag? Round to the nearest tenth of an ounce.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654011769\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-461\" style=\"width: 100%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>500 mL<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply by a unit conversion factor relating mL and ounces.<\/td>\r\n<td>\\(500\\text{ millilitres}\\cdot \\dfrac{1\\text{ ounce}}{30\\text{ millilitres}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(\\dfrac{\\text{50 ounce}}{30}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide.<\/td>\r\n<td>16.7 ounces.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>The plastic bag has 16.7 ounces of packed red cells.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 7<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653771275\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170654008678\" data-type=\"exercise\">\r\n<div id=\"fs-id1170654036019\" data-type=\"problem\">\r\n<p id=\"fs-id1170653752524\">Adam donated 450 ml of blood. How many ounces is that?<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170652789213\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170653846740\">15 ounces.<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170652938147\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170652928454\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653889769\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653768884\" data-type=\"problem\">\r\n<p id=\"fs-id1170653769448\">A human brain weights about 3 pounds. How many kilograms is that? Round to the nearest tenth of a kilogram.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170652658229\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\r\n<table id=\"eip-310\" style=\"width: 100%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td>3 pounds<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply by a unit conversion factor relating km and mi.<\/td>\r\n<td>\\(3\\text{ pounds}\\cdot \\dfrac{1\\text{ kilogram}}{2.2 \\text{pounds}}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>\\(\\dfrac{\\text{3 kilograms}}{2.2}\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Divide.<\/td>\r\n<td>1.4 kilograms<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>A human brain weights around 1.4 kilograms.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 8<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170654022158\" data-type=\"problem\">\r\n<p id=\"fs-id1170654149655\">A human liver normally weights approximately 1.5 kilograms. Convert it to pounds.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170652640987\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170653874813\">3.3 pounds<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<h1 data-type=\"title\">Convert between Fahrenheit and Celsius Temperatures<\/h1>\r\n<p id=\"fs-id1170654141793\">Have you ever been in a foreign country and heard the weather forecast? If the forecast is for \\(71\\)\u00b0F what does that mean?<\/p>\r\n<p id=\"fs-id1170653807898\">The Canadian and imperial systems use different scales to measure temperature. The Canadian system uses degrees\u00a0Celsius, written\u00a0\u00b0C. The imperial system uses degrees\u00a0Fahrenheit, written\u00b0F.\u00a0<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_011\">(Figure.5)<\/a> shows the relationship between the two systems.<\/p>\r\n\r\n<div id=\"CNX_ElemAlg_Figure_01_10_011\" class=\"bc-figure figure\">\r\n<div class=\"bc-figcaption figcaption\">The diagram shows normal body temperature, along with the freezing and boiling temperatures of water in degrees Fahrenheit and degrees Celsius.<\/div>\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"363\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_011_img_new.jpg\" alt=\"Two thermometres are shown, one in Celsius (\u00b0C) and another in Fahrenheit (\u00b0F). They are marked \u201cWater boils\u201d at 100\u00b0C and 212\u00b0F. They are marked \u201cNormal body temperature\u201d at 37\u00b0C and 98.6\u00b0F. They are marked \u201cWater freezes\u201d at 0\u00b0C and 32\u00b0F.\" width=\"363\" height=\"614\" data-media-type=\"image\/jpeg\" \/> Figure.5[\/caption]\r\n\r\n<div class=\"textbox textbox--key-takeaways\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Temperature Conversion<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<p id=\"fs-id1170654200442\">To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula<\/p>\r\n\\(C=\\dfrac{5}{9}\\left(F-32\\right)\\).\r\n<p id=\"fs-id1170654230844\">To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula<\/p>\r\n\\(F=\\dfrac{9}{5}C+32\\).\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170654115235\" data-type=\"note\">\r\n<div data-type=\"equation\" data-label=\"\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653930602\" data-type=\"problem\">\r\n<p id=\"fs-id1170653930604\">Before mixing, the Pfizer-BioNTech COVID-19 vaccine may be stored in an ultra-cold freezer between -112\u00b0F and -76\u00b0F. Convert the temperatures into degrees Celsius.<\/p>\r\n<strong>Solution<\/strong>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653755791\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<p id=\"fs-id1170654232177\">We will substitute a) -112\u00b0F and b) -76\u00b0F into the formula to find C.<\/p>\r\n\r\n<table id=\"eip-id1169749562678\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0F to \u00b0C: C equals 5\/9 times the quantity (F minus 32). On the next line, we are told to \u201cSubstitute 50 for F.\u201d Hence, we obtain C equals 5\/9 times the quantity (50 minus 32). In the next step, we are told to \u201cSimplify in parentheses.\u201d Hence, we obtain C equals 5\/9 times 18. Finally, we are told to \u201cMultiply,\u201d and we obtain C equals 10.\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>a) Substitute -112 for F<\/td>\r\n<td>\\(C=\\dfrac{5}{9}\\left(-112-32\\right)\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\">Simplify in parentheses.<\/span><\/td>\r\n<td>\\(C=\\dfrac{5}{9}\\left(-144\\right)\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td>C= - 80<span id=\"eip-id1169752086596\" data-type=\"media\" data-alt=\".\"><\/span>\r\n\r\nSo we found that -112\u00b0F is equivalent to -80\u00b0C<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b) Substitute -76 for F<\/td>\r\n<td>\\(C=\\dfrac{5}{9}\\left(-76-32\\right)\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\">Simplify.<\/span><\/td>\r\n<td>\\(C=\\dfrac{5}{9}\\left(-108\\right)\\)\r\n\r\nC= - 60\r\n\r\nSo we found that -76\u00b0F is equivalent to - 60\u00b0C.\r\n\r\n&nbsp;<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 9<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170654125384\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653772087\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653772089\" data-type=\"problem\">\r\n<p id=\"fs-id1170653867974\">Convert the Fahrenheit temperature to degrees Celsius: 59\u00b0 Fahrenheit.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654032787\" data-type=\"solution\"><details open=\"open\"><summary>Show answer\u00b0C<\/summary>\r\n<p id=\"fs-id1170654032789\">15\u00b0C<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\r\n<div id=\"fs-id1170654239368\" data-type=\"problem\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653748995\" data-type=\"solution\">\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653798022\" data-type=\"problem\">\r\n<p id=\"fs-id1170654067027\">Once mixed, the Pfizer-BioNTech COVID-19 vaccine can be left at room temperature 2\u00b0C to 25\u00b0C. Convert the temperatures into degrees Fahrenheit.<\/p>\r\n<strong>Solution<\/strong>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170653769463\" data-type=\"solution\">\r\n<div data-type=\"title\"><\/div>\r\n<p id=\"fs-id1170653769466\">We will substitute a) 2\u00b0C and b) 25\u00b0C into the formula to find F.<\/p>\r\n\r\n<table id=\"eip-id1169750701791\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0C to \u00b0F: F equals 9\/5 times C plus 32. On the next line, we are told to \u201cSubstitute 20 for C.\u201d Hence, we obtain that F equals 9\/5 times 20 plus 32. In the next step, we are told to \u201cMultiply.\u201d Hence, we obtain F equals 36 plus 32. Finally, we are told to \u201cAdd,\u201d and we obtain F equals 68.\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>a) Substitute 2 for C<\/td>\r\n<td>\\(F=\\dfrac{9}{5}\\cdot\\text{2}+32\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><span id=\"eip-id1169750701824\" data-type=\"media\" data-alt=\".\">Simplify.<\/span><\/td>\r\n<td>F= 35.6\r\n\r\nSo we found that 2\u00b0C is equivalent to 35.6\u00b0F.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>b) Substitute 25 for C<\/td>\r\n<td>\\(F=\\dfrac{9}{5}\\cdot\\text{25}+32\\)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>F= 77<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>So we found that 25\u00b0C is equivalent to 77\u00b0F.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">TRY IT 10<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n<div id=\"fs-id1170653875549\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170653875552\" data-type=\"exercise\">\r\n<div id=\"fs-id1170653791656\" data-type=\"problem\">\r\n<p id=\"fs-id1170653791658\">Patient with high fever had a temperature of 39\u00b0 Celsius. Convert it to Fahrenheit.<\/p>\r\n\r\n<\/div>\r\n<div id=\"fs-id1170654237812\" data-type=\"solution\"><details open=\"open\"><summary>Show answer<\/summary>\r\n<p id=\"fs-id1170654238722\">102.2\u00b0F<\/p>\r\n\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"fs-id1170652620855\" class=\"try\" data-type=\"note\">\r\n<div id=\"fs-id1170654201794\" data-type=\"exercise\">\r\n<div id=\"fs-id1170654201796\" data-type=\"problem\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<h1 data-type=\"title\">Key Concepts<\/h1>\r\n<ul id=\"fs-id1170653748210\" data-bullet-style=\"bullet\">\r\n \t<li><strong data-effect=\"bold\">Metric System of Measurement<\/strong>\r\n<ul id=\"fs-id1170653893604\" data-bullet-style=\"open-circle\">\r\n \t<li><strong data-effect=\"bold\">Length<\/strong>\r\n\\(\\begin{array}{lcl}\\text{1 kilometre (km)} &amp; = &amp; \\text{1,000 m} \\\\ \\text{1 hectometre (hm)} &amp; = &amp; \\text{100 m} \\\\ \\text{1 dekametre (dam)} &amp; = &amp; \\text{10 m} \\\\ \\text{1 metre (m)} &amp; = &amp; \\text{1 m} \\\\ \\text{1 decimetre (dm)} &amp; = &amp; \\text{0.1 m} \\\\ \\text{1 centimetre (cm)} &amp; = &amp; \\text{0.01 m}\\hfill \\\\ \\text{1 millimetre (mm)} &amp; = &amp; \\text{0.001 m} \\\\ \\text{1 metre} &amp; = &amp; \\text{100 centimetres} \\\\ \\text{1 metre} &amp; = &amp; \\text{1,000 millimetres} \\end{array}\\)<\/li>\r\n \t<li><strong data-effect=\"bold\">Mass<\/strong>\r\n\\(\\begin{array}{lcl}\\text{1 kilogram (kg)} &amp; = &amp; \\text{1,000 g} \\\\ \\text{1 hectogram (hg)} &amp; = &amp; \\text{100 g} \\\\ \\text{1 dekagram (dag)} &amp; = &amp; \\text{10 g} \\\\ \\text{1 gram (g)} &amp; = &amp; \\text{1 g} \\\\ \\text{1 decigram (dg)} &amp; = &amp; \\text{0.1 g} \\\\ \\text{1 centigram (cg)} &amp; = &amp; \\text{0.01 g} \\\\ \\text{1 milligram (mg)} &amp; = &amp; \\text{0.001 g} \\\\ \\text{1 gram} &amp; = &amp; \\text{100 centigrams} \\\\ \\text{1 gram} &amp; = &amp; \\text{1,000 milligrams} \\\\ \\text{1 gram} &amp; = &amp; \\text{1,000000 micograms}\\end{array}\\)<\/li>\r\n \t<li><strong data-effect=\"bold\">Capacity<\/strong>\r\n\\(\\begin{array}{lcl}\\text{1 kilolitre (kL)} &amp; = &amp; \\text{1,000 L} \\\\ \\text{1 hectolitre (hL)} &amp; = &amp; \\text{100 L} \\\\ \\text{1 dekalitre (daL)} &amp; = &amp; \\text{10 L} \\\\ \\text{1 litre (L)} &amp; = &amp; \\text{1 L} \\\\ \\text{1 decilitre (dL)} &amp; = &amp; \\text{0.1 L} \\\\ \\text{1 centilitre (cL)} &amp; = &amp; \\text{0.01 L} \\\\ \\text{1 millilitre (mL)} &amp; = &amp; \\text{0.001 L} \\\\ \\text{1 litre} &amp; = &amp; \\text{100 centilitre s} \\\\ \\text{1 litre} &amp; = &amp; \\text{1,000 millilitre s}\\end{array}\\)<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong data-effect=\"bold\">Temperature Conversion<\/strong>\r\n<ul id=\"fs-id1170653750836\" data-bullet-style=\"open-circle\">\r\n \t<li>To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula \\(\\text{C}=\\dfrac{5}{9}\\left(\\text{F}-32\\right)\\)<\/li>\r\n \t<li>To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula \\(\\text{F}=\\dfrac{9}{5}\\text{C}+32\\)<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h1 style=\"text-align: left;\" data-type=\"title\">6.1 Exercise Set<\/h1>\r\n<p id=\"fs-id1166424788676\">In the following exercises, convert the units.<\/p>\r\n\r\n<ol>\r\n \t<li>A basketball player is 6 feet tall. Convert his height to inches.<\/li>\r\n \t<li>Kelvin is 18 inches tall. Convert his height to feet.<\/li>\r\n \t<li>Doctor recommended a patient to walk 1.5 miles every other day. Convert the distance to feet.<\/li>\r\n \t<li>Misty\u2019s surgery lasted \\(1\\dfrac{1}{2}\\) hours. Convert the time to seconds.<\/li>\r\n \t<li>How many teaspoons are in a pint?<\/li>\r\n \t<li>Jon is 6 feet 4 inches tall. Convert his height to inches.<\/li>\r\n \t<li>Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.<\/li>\r\n<\/ol>\r\n<p id=\"fs-id1166420323132\">In the following exercises, convert the units.<\/p>\r\n\r\n<ol start=\"8\">\r\n \t<li>Ryan ran 5 kilometres. Convert the length to metres.<\/li>\r\n \t<li>Emily is 1.55 metres tall. Convert her height to centimetres.<\/li>\r\n \t<li>June\u2019s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.<\/li>\r\n \t<li>One stick of butter contains 91.6 grams of fat. Convert this to milligrams.<\/li>\r\n \t<li>Dimitri\u2019s daughter weighed 3.8 kilograms at birth. Convert this to grams<\/li>\r\n \t<li>A bottle of medicine contained 300 millilitres. Convert this to litres.<\/li>\r\n<\/ol>\r\n<p id=\"fs-id1166424959232\">In the following exercises, solve.<\/p>\r\n\r\n<ol start=\"14\">\r\n \t<li>Matthias is 1.8 metres tall. His son is 89 centimetres tall. How much taller is Matthias than his son?<\/li>\r\n \t<li>One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?<\/li>\r\n \t<li>Jonas drinks 200 millilitres of water 8 times a day. How many litres of water does Jonas drink in a day?<\/li>\r\n<\/ol>\r\n<p id=\"fs-id1166424799920\">In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\r\n\r\n<ol start=\"17\">\r\n \t<li>Bill is 75 inches tall. Convert his height to centimetres.<\/li>\r\n \t<li>Kathryn is 1.6 metres tall. Convert her height to feet<\/li>\r\n<\/ol>\r\n<p id=\"fs-id1166422524475\">In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.<\/p>\r\n\r\n<ol class=\"twocolumn\" start=\"19\">\r\n \t<li>86\u00b0 Fahrenheit<\/li>\r\n \t<li>104\u00b0 Fahrenheit<\/li>\r\n \t<li>72\u00b0 Fahrenheit<\/li>\r\n \t<li>0\u00b0 Fahrenheit<\/li>\r\n<\/ol>\r\n<p id=\"fs-id1170653742219\">In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\r\n\r\n<ol class=\"twocolumn\" start=\"23\">\r\n \t<li>5\u00b0 Celsius<\/li>\r\n \t<li>-10\u00b0 Celsius<\/li>\r\n \t<li>22\u00b0 Celsius<\/li>\r\n \t<li>43\u00b0 Celsius<\/li>\r\n<\/ol>\r\n<p data-type=\"title\">Everyday Math<\/p>\r\n\r\n<ol start=\"27\">\r\n \t<li><strong data-effect=\"bold\">Nutrition<\/strong> Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?<\/li>\r\n<\/ol>\r\n<h2 data-type=\"title\"><span style=\"font-size: 1.2em; word-spacing: normal;\">Answers<\/span><\/h2>\r\n<ol class=\"twocolumn\">\r\n \t<li>72 inches<\/li>\r\n \t<li>1.5 feet<\/li>\r\n \t<li>7,920 feet<\/li>\r\n \t<li>5,400 s<\/li>\r\n \t<li>\\(96\\) teaspoons<\/li>\r\n \t<li>76 in.<\/li>\r\n \t<li>115 ounces<\/li>\r\n \t<li>5,000 metres<\/li>\r\n \t<li>155 centimetres<\/li>\r\n \t<li>1.5 grams<\/li>\r\n \t<li>91,600 milligrams<\/li>\r\n \t<li>3,800 grams<\/li>\r\n \t<li>0.3 litres<\/li>\r\n \t<li>91 centimetres<\/li>\r\n \t<li>16.8 grams<\/li>\r\n \t<li>1.6 litres<\/li>\r\n \t<li>190.5 centimetres<\/li>\r\n \t<li>5.2 feet<\/li>\r\n \t<li>30\u00b0C<\/li>\r\n \t<li>40\u00b0C<\/li>\r\n \t<li>22.2\u00b0C<\/li>\r\n \t<li>-17.8\u00b0C<\/li>\r\n \t<li>41\u00b0F<\/li>\r\n \t<li>14\u00b0F<\/li>\r\n \t<li>71.6\u00b0F<\/li>\r\n \t<li>109.4\u00b0F<\/li>\r\n \t<li>14.6 kilograms<\/li>\r\n<\/ol>\r\n<h1>Attributions<\/h1>\r\n<ol>\r\n \t<li>This chapter has been adapted from \u201cSystems of Measurement\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em><\/a> (OpenStax) by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/li>\r\n \t<li><a href=\"https:\/\/pressbooks.oer.hawaii.edu\/humannutrition2\/chapter\/2-the-cardiovascular-system\/\">OER.hawaii.edu<\/a><\/li>\r\n \t<li>COVID-19 Government of Canada website https:\/\/www.canada.ca\/en\/health-canada\/news\/2021\/05\/health-canada-authorizes-more-flexible-storage-conditions-for-pfizer-biontech-covid-19-vaccine.html<\/li>\r\n<\/ol>\r\n&nbsp;","rendered":"<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Learning Objectives<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>By the end of this section it is expected that you will be able to:<\/p>\n<ul>\n<li>Make unit conversions in the imperial system<\/li>\n<li>Make unit conversions in the metric system<\/li>\n<li>Convert between the imperial and the metric systems of measurement<\/li>\n<li>Convert between Fahrenheit and Celsius temperatures<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Imperial System<\/h1>\n<p id=\"fs-id1170653740434\">There are two systems of measurement commonly used around the world. Metric system used by most countries and imperial system used by the United States. Even though since 1970, Canada tried to switch to the metric system, the imperial system of measurements is still used in Canada.\u00a0 We will look at the imperial system first.<\/p>\n<p id=\"fs-id1170653846703\">The imperial system of measurement uses units of inch, foot, yard, and mile to measure length and pound and ton to measure weight. For capacity, the units used are cup, pint, quart, and gallons. Both the imperial system and the metric system measure time in seconds, minutes, and hours.<\/p>\n<p>The equivalencies of measurements are shown in the table below. The table also shows, in parentheses, the common abbreviations for each measurement.<\/p>\n<table id=\"fs-id1170654027716\" class=\"grid\" style=\"width: 100%;\" summary=\"This table shows the US System of Measurement. Each cell contains information about length, weight, volume, and time, respectively. The length cell notes that foot (ft.) equals inches (in.), yard (yd.) equals feet (ft.), and mile (mi.) equals feet (ft.). The volume cell notes that 3 teaspoons (t) equals 1 tablespoon (T), 16 tablespoons (T) equals 1 cup (C), 1 cup (C) equals 8 fluid ounces (fl. oz.), 1 pint (pt.) equals 2 cups (C), 1 quart (qt.) equals 2 pints (pt.), and 1 gallon (gal) equals 4 quarts (qt.). The weight cell notes that 1 pound (lb.) equals 16 ounces (oz.) and 1 ton equals 2000 pounds (lb.). Finally, the time cell notes that 1 minute (min) equals 60 seconds (sec), 1 hour (hr) equals 60 minutes (min), 1 day equals 24 hours (hr), 1 week (wk) equals 7 days, and 1 year (yr) equals 365 days.\">\n<caption>Imperial System of Measurement<\/caption>\n<tbody>\n<tr valign=\"top\">\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-3215516cc1cece7b4e44f8e1307e8dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" 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title=\"Rendered by QuickLaTeX.com\" height=\"74\" width=\"400\" style=\"vertical-align: -32px;\" \/><\/td>\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-70d594322463d4020eb0bc9f4442f378_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" 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;&#101;&#120;&#116;&#123;&#52;&#32;&#113;&#117;&#97;&#114;&#116;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#113;&#116;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"152\" width=\"542\" style=\"vertical-align: -71px;\" \/><\/td>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 297.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-19965b945301c28350034262693cdd91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#87;&#101;&#105;&#103;&#104;&#116;&#125;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#38;&#32;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#112;&#111;&#117;&#110;&#100;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#108;&#98;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#54;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#111;&#122;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#116;&#111;&#110;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#48;&#48;&#48;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#108;&#98;&#46;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"445\" style=\"vertical-align: -19px;\" \/><\/td>\n<td style=\"width: 357.906px;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-9c81cb0d386ede8939007de4aa2c5843_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#109;&#97;&#116;&#104;&#98;&#102;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#84;&#105;&#109;&#101;&#125;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#38;&#32;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#49;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#109;&#105;&#110;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#115;&#101;&#99;&#111;&#110;&#100;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#115;&#101;&#99;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#111;&#117;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#104;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#48;&#32;&#109;&#105;&#110;&#117;&#116;&#101;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#109;&#105;&#110;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#52;&#32;&#104;&#111;&#117;&#114;&#115;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#104;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#119;&#101;&#101;&#107;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#119;&#107;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#55;&#32;&#100;&#97;&#121;&#115;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#121;&#101;&#97;&#114;&#125;&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#92;&#114;&#117;&#108;&#101;&#123;&#48;&#46;&#50;&#101;&#109;&#125;&#123;&#48;&#101;&#120;&#125;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#40;&#121;&#114;&#41;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#54;&#53;&#32;&#100;&#97;&#121;&#115;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"126\" width=\"464\" style=\"vertical-align: -58px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654047456\">In many medical applications, we need to convert between units of measurement, such as feet and inches, minutes and seconds, pounds and ounces, etc. We will use the identity property of multiplication to do these conversions. We\u2019ll restate the identity property of multiplication here for easy reference.<\/p>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Identity Property of Multiplication<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>For any real number <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-5ddc3b1b5b5d334e871b5517df512ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"11\" style=\"vertical-align: 0px;\" \/>:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-3e3209fedd1d332d7e4d232519eaa1ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#92;&#99;&#100;&#111;&#116;&#49;&#61;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"76\" style=\"vertical-align: 0px;\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-e1b4c5274d49fcd9c926e6632008b776_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#97;&#61;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"75\" style=\"vertical-align: 0px;\" \/><\/p>\n<p>1 is the <strong>multiplicative identity<\/strong>.<\/p>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653791367\">To use the identity property of multiplication, we write 1 in a form that will help us convert the units. For example, suppose we want to change inches to feet. We know that 1 foot is equal to 12 inches, so we will write 1 as the fraction <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-5140613e0262bd9e6396ec56fe95a8ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -14px;\" \/>. When we multiply by this fraction we do not change the value, but just change the units.<\/p>\n<p id=\"fs-id1170653875590\">But <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c05fe739814d9d62749cc21ac1a942a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -14px;\" \/> also equals 1. How do we decide whether to multiply by <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-5140613e0262bd9e6396ec56fe95a8ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -14px;\" \/> or <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c05fe739814d9d62749cc21ac1a942a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#105;&#110;&#99;&#104;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#102;&#111;&#111;&#116;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"84\" style=\"vertical-align: -14px;\" \/>? We choose the fraction that will make the units we want to convert <em data-effect=\"italics\">from<\/em> divide out. Treat the unit words like <span class=\"no-emphasis\" data-type=\"term\">factors<\/span> and \u201cdivide out\u201d common units like we do common factors. If we want to convert <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-61a058b322949a4ab0575da7b51d73f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"21\" style=\"vertical-align: 0px;\" \/> inches to feet, which multiplication will eliminate the inches?<\/p>\n<p><span id=\"fs-id1170653895402\" data-type=\"media\" data-alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_016_img_new.jpg\" alt=\"Two expressions are given: 66 inches times the fraction (1 foot) over (12 inches), and 66 inches times the fraction (12 inches) over (1 foot). This second expression is crossed out. Below this, it is stated that \u201cThe first form works since 66 inches times the fraction (1 foot) over (12 inches), with inches crossed off in both instances.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<p id=\"fs-id1170653851306\">The inches divide out and leave only feet. The second form does not have any units that will divide out and so will not help us.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653749262\" data-type=\"exercise\">\n<div id=\"fs-id1170652619424\" data-type=\"problem\">\n<p>MaryAnne is 66 inches tall. Convert her height into feet.<\/p>\n<\/div>\n<div id=\"fs-id1170653806518\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p><span id=\"fs-id1170654071984\" data-type=\"media\" data-alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017a_img_new.jpg\" alt=\"A table is given with three columns. In the first column are directions. The second column has exposition, and the third column has the mathematical steps. In the first row, the direction is \u201cStep 1. Multiply the measurement to be converted by; write as a fraction relating the units given and the units needed.\u201d The exposition is \u201cMultiply inches by, writing as a fraction relating inches and feet. We need inches in the denominator so that the inches will divide out!\u201d The mathematical step is 66 inches times the fraction (1 foot) over (12 inches).\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654026865\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017b_img_new.jpg\" alt=\"In the following row, we have \u201cStep 2. Multiply.\u201d The hint is \u201cThink of 66 inches as the quantity 66 inches divided by 1.\u201d The math portion is the fraction (66 inches times 1 foot) over 12 inches.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170654030491\" data-type=\"media\" data-alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017c_img_new.jpg\" alt=\"In the following row, we have \u201cStep 3. Simplify the fraction.\u201d The hint is that \u201cNotice: inches divide out.\u201d We obtain 66 feet divided by 12.\" data-media-type=\"image\/jpeg\" \/><\/span><span id=\"fs-id1170653797102\" data-type=\"media\" data-alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_017d_img_new.jpg\" alt=\"Then the last step is \u201cStep 4. Simplify.\u201d The hint is \u201cDivide 66 by 12.\u201d Hence, our final mathematical statement is 5.5 feet.\" data-media-type=\"image\/jpeg\" \/><\/span><\/p>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653845964\" class=\"try\" data-type=\"note\">\n<div data-type=\"exercise\">\n<div id=\"fs-id1170654069080\" data-type=\"problem\">\n<p id=\"fs-id1170654235450\">Lexie is 30 inches tall. Convert her height to feet.<\/p>\n<\/div>\n<div id=\"fs-id1170654202421\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653768687\">2.5 feet<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654075151\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654037129\" data-type=\"exercise\">\n<div data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">HOW TO: Make unit conversions<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ol>\n<li>Multiply the measurement to be converted by 1; write 1 as a fraction relating the units given and the units needed.<\/li>\n<li>Multiply.<\/li>\n<li>Simplify the fraction.<\/li>\n<li>Simplify.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Eli&#8217;s six months son is\u00a0 102.4 ounces. Convert his weight to pounds.<\/p>\n<p><strong>Solution<\/strong><\/p>\n<p>To convert ounces into pounds we will multiply by conversion factors of 1.<\/p>\n<table id=\"eip-id1169753123087\" style=\"width: 100%;\" summary=\"We are given the quantity 9 weeks. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cWrite 1 as 7 days over 1 week, 24 hours over 1 day, and 60 minutes over 1 hour.\u201d To the right of this we have (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour). In the following row, we have \u201cCancel common units.\u201d The math portion is again (9 weeks over 1) times (7 days over 1 week) times (24 hours over 1 day) times (60 minutes over 1 hour), but with the weeks, days, and hours cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (9 times 7 times 24 times 60 minutes) over (1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 90,720 minutes.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">102.4 ounces<\/td>\n<\/tr>\n<tr>\n<td>Write 1 as <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-bd08441b88699543644bae4a88ac54d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#110;&#100;&#125;&#125;&#123;&#49;&#54;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"90\" style=\"vertical-align: -14px;\" \/><\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-eee9047925fce2195ee1637da1d75dc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#50;&#46;&#52;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#110;&#100;&#125;&#125;&#123;&#49;&#54;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"233\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Divide out the common units.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-6da7e38d3a8f8ea9248c5ccecea0dea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#48;&#50;&#46;&#52;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#110;&#100;&#125;&#125;&#123;&#49;&#54;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"233\" style=\"vertical-align: -14px;\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c6083d070eb8e1b37e47a25cc00ebedf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#123;&#49;&#48;&#50;&#46;&#52;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#125;&#123;&#49;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"122\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-cc840272ac75a3134768f0fb32084dba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#54;&#46;&#52;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -4px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170654066877\">Eli&#8217;s six months son weights 6.4 pounds.<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 2<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>One year old girl weights 11 pounds. Convert her weight to ounces.<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p>176 ounces.<\/p>\n<\/details>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653814859\">When we use the identity property of multiplication to convert units, we need to make sure the units we want to change from will divide out. Usually this means we want the conversion fraction to have those units in the denominator. Sometimes, to convert from one unit to another, we may need to use several other units in between, so we will need to multiply several fractions.<\/p>\n<div id=\"fs-id1170654190201\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653913514\" data-type=\"exercise\">\n<div id=\"fs-id1170654026286\" data-type=\"problem\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653889570\" data-type=\"problem\">\n<p id=\"fs-id1170653915966\">How many ounces are in 1 gallon?<\/p>\n<\/div>\n<div id=\"fs-id1170653868720\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654027574\">We will convert gallons to ounces by multiplying by several conversion factors. Refer to the <a class=\"autogenerated-content\" href=\"#fs-id1170654027716\">table on Imperial Systems of Measurement<\/a>.<\/p>\n<table id=\"eip-id1169754171774\" style=\"width: 100%;\" summary=\"We are given the quantity 1 gallon. A table is given with two columns. In the first column are directions, and the second column has the mathematical steps. In the first row, the direction is \u201cMultiply the measurement to be converted by 1.\u201d To the right of this we have (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup). In the following row, we have \u201cUse conversion factors to get to the right unit and simplify.\u201d The math portion is again (1 gallon over 1) times (4 quarts over 1 gallon) times (2 pints over 1 quart) times (2 cups over 1 pint) times (8 ounces over 1 cup), but with the gallons, quarts, pints, and cups cancelled. In the following row, we have \u201cMultiply.\u201d To the right of this we have the fraction (1 times 4 times 2 times 2 times 8 ounces) over (1 times 1 times 1 times 1 times 1). The final step is \u201cSimplify.\u201d And the final mathematical statement is 128 ounces. There are 128 ounces in a gallon.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">1 gallon<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-62b2ce5b5207accee38742fbb6f49f0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#32;&#113;&#117;&#97;&#114;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#112;&#105;&#110;&#116;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#113;&#117;&#97;&#114;&#116;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#99;&#117;&#112;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#112;&#105;&#110;&#116;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#117;&#112;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"433\" style=\"vertical-align: -18px;\" \/><\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Use conversion factors to get to the right unit.<br \/>\nSimplify.<\/td>\n<td data-align=\"center\"><span id=\"eip-id1169750758852\" data-type=\"media\" data-alt=\".\"><span id=\"eip-id1169753123179\" data-type=\"media\" data-alt=\".\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-3e8c8bc1b809944139dbe4257f8dde4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#125;&#123;&#49;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#52;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#113;&#117;&#97;&#114;&#116;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#32;&#103;&#97;&#108;&#108;&#111;&#110;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#112;&#105;&#110;&#116;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#113;&#117;&#97;&#114;&#116;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#99;&#117;&#112;&#115;&#125;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#112;&#105;&#110;&#116;&#125;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#99;&#117;&#112;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"433\" style=\"vertical-align: -18px;\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-e453313658fad655eec0f8dbd029698f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;&#125;&#123;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"182\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-f25d67483900ebcc189ae63a2cb948aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#50;&#56;&#32;&#111;&#117;&#110;&#99;&#101;&#115;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"99\" style=\"vertical-align: 0px;\" \/><br \/>\nThere are 128 ounces in a gallon.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 3<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653773259\" data-type=\"problem\">\n<p id=\"fs-id1170653890266\">How many teaspoons are in 1 cup?<\/p>\n<\/div>\n<div id=\"fs-id1170653753162\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653834434\">48 teaspoons<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Make Unit Conversions in the Metric System<\/h1>\n<p id=\"fs-id1170653741424\">In the metric system, units are related by powers of 10. The roots words of their names reflect this relation. For example, the basic unit for measuring length is a metre. One kilometre is 1,000 metres; the prefix <em data-effect=\"italics\">kilo<\/em> means <em data-effect=\"italics\">thousand<\/em>. One centimetre is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-a13f87dfe3ba5b9bc6b2e21000f246ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"32\" style=\"vertical-align: -14px;\" \/> of a metre, just like one cent is <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-a13f87dfe3ba5b9bc6b2e21000f246ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"32\" style=\"vertical-align: -14px;\" \/> of one dollar.<\/p>\n<p id=\"fs-id1170652648089\">The equivalencies of measurements in the metric system are shown in the table below. The common abbreviations for each measurement are given in parentheses.<a id=\"#measurement\"><\/a><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 278px;\">\n<caption>Metric System of Measurement<\/caption>\n<tbody>\n<tr style=\"height: 34px;\">\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Length<\/th>\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Mass<\/th>\n<th style=\"width: 33.3333%; height: 34px;\" scope=\"col\">Capacity<\/th>\n<\/tr>\n<tr style=\"height: 34px;\" valign=\"top\">\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilometre (km) = 1,000 m<\/td>\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilogram (kg) = 1,000 g<\/td>\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 kilolitre (kL) = 1,000 L<\/td>\n<\/tr>\n<tr style=\"height: 34px;\" valign=\"top\">\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectometre (hm) = 100 m<\/td>\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectogram (hg) = 100 g<\/td>\n<td style=\"width: 33.3333%; height: 34px;\" data-valign=\"middle\" data-align=\"left\">1 hectolitre (hL) = 100 L<\/td>\n<\/tr>\n<tr style=\"height: 34px;\">\n<td style=\"width: 33.3333%; height: 34px;\">1 dekametre (dam) = 10 m<\/td>\n<td style=\"width: 33.3333%; height: 34px;\">1 dekagram (dag) = 10 g<\/td>\n<td style=\"width: 33.3333%; height: 34px;\">1 dekalitre (daL) = 10 L<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\">1 metre (m) = 1 m<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 gram (g) = 1 g<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 litre (L) = 1 L<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\">1 decimetre (dm) = 0.1 m<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 decigram (dg) = 0.1 g<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 decilitre (dL) = 0.1 L<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\">1 centimetre (cm) = 0.01 m<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 centigram (cg) = 0.01 g<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 centilitre (cL) = 0.01 L<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\">1 millimetre (mm) = 0.001 m<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 milligram (mg) = 0.001 g<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 millilitre (mL) = 0.001 L<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\"><\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 microgram ( mcg) = 0.000001 g<\/td>\n<td style=\"width: 33.3333%; height: 18px;\"><\/td>\n<\/tr>\n<tr style=\"height: 34px;\">\n<td style=\"width: 33.3333%; height: 34px;\">1 metre = 100 centimetres<\/td>\n<td style=\"width: 33.3333%; height: 34px;\">1 gram = 100 centigrams<\/td>\n<td style=\"width: 33.3333%; height: 34px;\">1 litre = 100 centilitre s<\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 33.3333%; height: 18px;\">1 metre = 1,000 millimetres<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 gram = 1,000 milligrams<\/td>\n<td style=\"width: 33.3333%; height: 18px;\">1 litre = 1,000 millilitre s<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653833801\">To make conversions in the metric system, we will use the same technique we did in the Imperial system. Using the identity property of multiplication, we will multiply by a conversion factor of one to get to the correct units.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div data-type=\"problem\">\n<p id=\"fs-id1170653832767\">Samadia took 800mg of Ibuprofen for her inflammation. How many grams of Ibuprofen did she take?<\/p>\n<\/div>\n<div id=\"fs-id1170654176791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p>We will convert milligrams to grams using the identity property of multiplication.<\/p>\n<table id=\"eip-id1169752203306\" style=\"width: 100%;\" summary=\"We have the quantity 10 kilometres. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 10 km times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilometres and metres.\u201d To the right, we have 10 km times the fraction 1000 metres over 1 kilometre. Below that, we are told to \u201cSimplify.\u201d To the right, we have the fraction (10 km times 1000 metres) over 1 kilometre, but the kilometre units are crossed off. Finally, our last instruction is to \u201cMultiply.\u201d Hence, we obtain 10,000 m.\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">800 milligrams<\/td>\n<\/tr>\n<tr>\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td><span id=\"eip-id1169752203335\" data-type=\"media\" data-alt=\".\">800 milligrams \u00d7 1<\/span><\/td>\n<\/tr>\n<tr>\n<td>Write 1 as a fraction relating kilometres and metres.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-0869d852394f6230a0db2c7d0410c1b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#103;&#114;&#97;&#109;&#125;&#125;&#123;&#49;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"309\" style=\"vertical-align: -18px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><span id=\"eip-id1169752202952\" data-type=\"media\" data-alt=\".\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-dbecd0ab49286b4b91236ca1b2a77223_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#56;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#103;&#114;&#97;&#109;&#125;&#125;&#123;&#49;&#48;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"309\" style=\"vertical-align: -18px;\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>0.8 grams<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Samadia took 0.8 grams of Ibuprofen.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 4<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653741057\" data-type=\"problem\">\n<p id=\"fs-id1170653985161\">Klaudia took 0.125 grams of Ibuprofen for his headache. How many milligrams of the medication did she take?<\/p>\n<\/div>\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p>125 milligrams<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170653774088\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653838422\" data-type=\"exercise\">\n<div id=\"fs-id1170654016694\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654203077\" data-type=\"problem\">\n<p id=\"fs-id1170653870855\">Eleanor\u2019s newborn baby weighed 3,200 grams. How many kilograms did the baby weigh?<\/p>\n<\/div>\n<div id=\"fs-id1170653834770\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654016052\">We will convert grams into kilograms.<\/p>\n<table id=\"eip-id1169750760364\" style=\"height: 158px; width: 100%;\" summary=\"We have the quantity 3200 grams. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply the measurement to be converted by 1.\u201d To the right, we have 3200 g times 1. On the next line, we are told to \u201cWrite 1 as a fraction relating kilograms and grams.\u201d To the right, we have 3200 g times the fraction 1 kg over 1000 g. Below that, we are told to \u201cSimplify.\u201d To the right, we again have 3200 g times the fraction 1 kg over 1000 g, but the gram units are crossed off. Our next instruction is to \u201cMultiply.\u201d To the right we have 3200 kilograms over 1000. Finally, our last instruction is to \u201cDivide.\u201d Hence, we obtain 3.2 kilograms.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 359.406px;\"><\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760384\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004a_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 18px;\">\n<td>Multiply the measurement to be converted by 1.<\/td>\n<td style=\"height: 18px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760403\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004b_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td>Write 1 as a function relating kilograms and grams.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760421\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004c_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 39px;\">\n<td style=\"height: 39px; width: 359.406px;\">Simplify.<\/td>\n<td style=\"height: 39px; width: 290.406px;\" data-align=\"center\"><span id=\"eip-id1169750760440\" data-type=\"media\" data-alt=\".\"><img decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_004d_img_new.jpg\" alt=\".\" data-media-type=\"image\/png\" \/><\/span><\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"height: 14px; width: 359.406px;\">Multiply.<\/td>\n<td style=\"height: 14px; width: 290.406px;\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-6165fb70a77096c49378a2108e3c0315_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#44;&#50;&#48;&#48;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#115;&#125;&#125;&#123;&#49;&#44;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"144\" style=\"vertical-align: -18px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"height: 30px; width: 359.406px;\">Divide.<\/td>\n<td style=\"height: 30px; width: 290.406px;\" data-align=\"center\">3.2 kilograms<br \/>\nThe baby weighed 3.2 kilograms.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 5<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654235809\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653898632\" data-type=\"exercise\">\n<div id=\"fs-id1170653881980\" data-type=\"problem\">\n<p id=\"fs-id1170654047447\">Kari\u2019s newborn baby weighed 2,800 grams. How many kilograms did the baby weigh?<\/p>\n<\/div>\n<div id=\"fs-id1170654012324\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653907924\">2.8 kilograms<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p id=\"fs-id1170653850159\">As you become familiar with the metric system you may see a pattern. Since the system is based on multiples of ten, the calculations involve multiplying by multiples of ten. We have learned how to simplify these calculations by just moving the decimal.<\/p>\n<p>To multiply by 10, 100, or 1,000, we move the decimal to the right one, two, or three places, respectively. To multiply by 0.1, 0.01, or 0.001, we move the decimal to the left one, two, or three places, respectively.<\/p>\n<p id=\"fs-id1170653792025\">We can apply this pattern when we make measurement conversions in the metric system. In Example 8, we changed 3,200 grams to kilograms by multiplying by <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-689bff364fd195e96a0a34dcc559b83f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#48;&#48;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"43\" style=\"vertical-align: -14px;\" \/> (or 0.001). This is the same as moving the decimal three places to the left.<\/p>\n<figure style=\"width: 272px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_005_img_new.jpg\" alt=\"We have the statement 3200 g times the fraction 1 kg over 1000 g, with the g\u2019s crossed out. Below this, we have 3.2. We also have the statement 3200 times 1\/1000, with an arrow drawn from the right of the final 0 in 3200 to the space between the 0\u2019s, to the space between the 2 and the 0, and then to the space between the 3 and the 2. Below this, we have 3.2.\" width=\"272\" height=\"95\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.1<\/figcaption><\/figure>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653912013\" data-type=\"problem\">\n<p id=\"fs-id1170653741035\">The volume of blood coursing throughout an adult human body is about 5 litres. Convert it to millilitres.<\/p>\n<\/div>\n<div id=\"fs-id1170654080821\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<div data-type=\"title\"><\/div>\n<p>We will convert litres to millilitres. In the <a class=\"autogenerated-content\" href=\"#measurement\">Metric System of Measurement<\/a> table, we see that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c6ce93a93c46f7077eb2ba922b9eeaa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#61;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#115;&#46;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"229\" style=\"vertical-align: -4px;\" \/><\/p>\n<table id=\"eip-id1169754143940\" style=\"height: 187px; width: 100%;\" summary=\"We have the quantity 350 L. We are given a table with instructions on the left and the mathematical steps on the right. On the first line we have \u201cMultiply by 1, writing 1 as a fraction relating litres to kilolitres.\u201d To the right, we have 350 L times the fraction 1 kL over 1000 L. On the next line, we are told to \u201cSimplify.\u201d To the right, we have we have 350 L times the fraction 1 kL over 1000 L, with the L\u2019s crossed out and an arrow drawn from the right of the final 0 in 350 to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. Below that, we are told to \u201cMove the decimal 3 units to the left. (350.)\u201d where there is an arrow drawn from the decimal place in 350. to the space between the 5 and the 0, to the space between the 3 and the 5, and finally to the space to the left of the 3. To the right, we have 0.35 kL.\" data-label=\"\">\n<tbody>\n<tr style=\"height: 16px;\">\n<td style=\"height: 16px; width: 269.717px;\"><\/td>\n<td style=\"height: 16px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-ad1707c572906d308d579170b489b524_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#32;&#76;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"30\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Multiply by 1, writing 1 as a fraction relating litres to millilitres.<\/td>\n<td style=\"height: 33px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-7151d98589b4419afe831aae4755296e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#32;&#76;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#48;&#32;&#109;&#76;&#125;&#125;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#76;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"127\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 33px;\">\n<td style=\"height: 33px; width: 269.717px;\">Simplify.<\/td>\n<td style=\"height: 33px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-f21b5def586cbe110ee533baba712b93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#76;&#125;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#48;&#32;&#109;&#76;&#125;&#125;&#123;&#49;&#92;&#99;&#97;&#110;&#99;&#101;&#108;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#76;&#125;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"120\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr style=\"height: 105px;\">\n<td style=\"height: 105px; width: 269.717px;\"><span id=\"eip-id1169754197015\" data-type=\"media\" data-alt=\".\">Multiply.<\/span><\/td>\n<td style=\"height: 105px; width: 297.95px;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-fac8f02b0522197e7bd68a5c05c21ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#48;&#48;&#48;&#32;&#109;&#76;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"79\" style=\"vertical-align: 0px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol id=\"fs-id1166422551215\" class=\"circled\" type=\"a\"><\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 6<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653833635\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653934363\" data-type=\"exercise\">\n<div id=\"fs-id1170653743925\" data-type=\"problem\">\n<p id=\"fs-id1170653832489\">Convert 6.3 L to millilitre<\/p>\n<\/div>\n<div id=\"fs-id1170653924052\" data-type=\"solution\">\n<details>\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654013885\">6,300 millilitres<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert Between the Imperial and the Metric Systems of Measurement<\/h1>\n<p>As Canada uses both system of measurement, we need to be able to convert between the two systems.<\/p>\n<p id=\"fs-id1170654236427\">The table below shows some of the most common conversions.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<caption>Conversion Factors Between Imperial and Metric Systems<\/caption>\n<tbody>\n<tr valign=\"top\">\n<th style=\"width: 37.3708%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Length<\/th>\n<th style=\"width: 31.0192%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Mass<\/th>\n<th style=\"width: 31.4623%;\" scope=\"col\" data-valign=\"middle\" data-align=\"center\">Capacity<\/th>\n<\/tr>\n<tr valign=\"top\">\n<td style=\"width: 37.3708%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-55eb834a48229944bf2685d05b6c8971_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#105;&#110;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#46;&#53;&#52;&#32;&#99;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#102;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#51;&#48;&#53;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#121;&#100;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#57;&#49;&#52;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#46;&#54;&#49;&#32;&#107;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#46;&#50;&#56;&#32;&#102;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"119\" width=\"174\" style=\"vertical-align: -52px;\" \/><\/td>\n<td style=\"width: 31.0192%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-16343395b1f28895d6f0cbcd3e4d1688_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#98;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#52;&#53;&#32;&#107;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#111;&#122;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#56;&#32;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#103;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#46;&#50;&#32;&#108;&#98;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"71\" width=\"164\" style=\"vertical-align: -30px;\" \/><\/td>\n<td style=\"width: 31.4623%;\" data-valign=\"middle\" data-align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-fb34f993e07cf850b4c40c6406f59f4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#125;&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#99;&#99;&#99;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#113;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#57;&#53;&#32;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#102;&#108;&#46;&#32;&#111;&#122;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#48;&#32;&#109;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#76;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#61;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#46;&#48;&#54;&#32;&#113;&#116;&#46;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"71\" width=\"193\" style=\"vertical-align: -30px;\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p id=\"fs-id1170653893032\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_008\">(Figure.2)<\/a> shows how inches and centimetres are related on a ruler.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_008\" class=\"bc-figure figure\">\n<figure style=\"width: 419px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_008_img_new.jpg\" alt=\"A ruler with inches and centimetres.\" width=\"419\" height=\"73\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.2<\/figcaption><\/figure>\n<p><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_009\">(Figure.3)<\/a> shows the ounce and millilitre markings on a measuring cup.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_009\" class=\"bc-figure figure\">\n<figure style=\"width: 266px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_009_img_new.jpg\" alt=\"A measuring cup showing millilitre s and ounces.\" width=\"266\" height=\"221\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.3<\/figcaption><\/figure>\n<p id=\"fs-id1170653736108\"><a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_010\">(Figure.4)<\/a> shows how pounds and kilograms marked on a bathroom scale.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_010\" class=\"bc-figure figure\">\n<figure style=\"width: 527px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_010_img_new.jpg\" alt=\"We are given an image of a bathroom scale showing pounds.\" width=\"527\" height=\"258\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.4<\/figcaption><\/figure>\n<p id=\"fs-id1170653876302\">We make conversions between the systems just as we do within the systems\u2014by multiplying by unit conversion factors.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653899040\" data-type=\"problem\">\n<p id=\"fs-id1170654149168\">Plastic bag used for transfusion holds 500 mL of packed red cells. How many ounces are in the bag? Round to the nearest tenth of an ounce.<\/p>\n<\/div>\n<div id=\"fs-id1170654011769\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-461\" style=\"width: 100%;\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>500 mL<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating mL and ounces.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-783c49daf332343dedbbf4a73d291725_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#48;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#111;&#117;&#110;&#99;&#101;&#125;&#125;&#123;&#51;&#48;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"257\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-a0dc9c20041fd396bcbe089a4d6618c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#53;&#48;&#32;&#111;&#117;&#110;&#99;&#101;&#125;&#125;&#123;&#51;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"81\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>16.7 ounces.<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>The plastic bag has 16.7 ounces of packed red cells.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 7<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653771275\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654008678\" data-type=\"exercise\">\n<div id=\"fs-id1170654036019\" data-type=\"problem\">\n<p id=\"fs-id1170653752524\">Adam donated 450 ml of blood. How many ounces is that?<\/p>\n<\/div>\n<div id=\"fs-id1170652789213\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653846740\">15 ounces.<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652938147\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170652928454\" data-type=\"exercise\">\n<div id=\"fs-id1170653889769\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653768884\" data-type=\"problem\">\n<p id=\"fs-id1170653769448\">A human brain weights about 3 pounds. How many kilograms is that? Round to the nearest tenth of a kilogram.<\/p>\n<\/div>\n<div id=\"fs-id1170652658229\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<div data-type=\"title\"><strong>Solution<\/strong><\/div>\n<table id=\"eip-310\" style=\"width: 100%;\" summary=\".\">\n<tbody>\n<tr>\n<td><\/td>\n<td>3 pounds<\/td>\n<\/tr>\n<tr>\n<td>Multiply by a unit conversion factor relating km and mi.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-accb4d38ccaecdc1ea8547293c62b3fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#125;&#125;&#123;&#50;&#46;&#50;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#112;&#111;&#117;&#110;&#100;&#115;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"200\" style=\"vertical-align: -18px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-65bf1a7183a003745665a3104789874c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#116;&#101;&#120;&#116;&#123;&#51;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#115;&#125;&#125;&#123;&#50;&#46;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"107\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Divide.<\/td>\n<td>1.4 kilograms<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>A human brain weights around 1.4 kilograms.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 8<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654022158\" data-type=\"problem\">\n<p id=\"fs-id1170654149655\">A human liver normally weights approximately 1.5 kilograms. Convert it to pounds.<\/p>\n<\/div>\n<div id=\"fs-id1170652640987\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170653874813\">3.3 pounds<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Convert between Fahrenheit and Celsius Temperatures<\/h1>\n<p id=\"fs-id1170654141793\">Have you ever been in a foreign country and heard the weather forecast? If the forecast is for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-03b5943100ae19a89fe2dc9da6f43487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: 0px;\" \/>\u00b0F what does that mean?<\/p>\n<p id=\"fs-id1170653807898\">The Canadian and imperial systems use different scales to measure temperature. The Canadian system uses degrees\u00a0Celsius, written\u00a0\u00b0C. The imperial system uses degrees\u00a0Fahrenheit, written\u00b0F.\u00a0<a class=\"autogenerated-content\" href=\"#CNX_ElemAlg_Figure_01_10_011\">(Figure.5)<\/a> shows the relationship between the two systems.<\/p>\n<div id=\"CNX_ElemAlg_Figure_01_10_011\" class=\"bc-figure figure\">\n<div class=\"bc-figcaption figcaption\">The diagram shows normal body temperature, along with the freezing and boiling temperatures of water in degrees Fahrenheit and degrees Celsius.<\/div>\n<figure style=\"width: 363px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatedevelopmentalmath\/wp-content\/uploads\/sites\/688\/2020\/08\/CNX_ElemAlg_Figure_01_10_011_img_new.jpg\" alt=\"Two thermometres are shown, one in Celsius (\u00b0C) and another in Fahrenheit (\u00b0F). They are marked \u201cWater boils\u201d at 100\u00b0C and 212\u00b0F. They are marked \u201cNormal body temperature\u201d at 37\u00b0C and 98.6\u00b0F. They are marked \u201cWater freezes\u201d at 0\u00b0C and 32\u00b0F.\" width=\"363\" height=\"614\" data-media-type=\"image\/jpeg\" \/><figcaption class=\"wp-caption-text\">Figure.5<\/figcaption><\/figure>\n<div class=\"textbox textbox--key-takeaways\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Temperature Conversion<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p id=\"fs-id1170654200442\">To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-b7f4bb0666d84d893cf71e9293ec609c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#70;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"142\" style=\"vertical-align: -14px;\" \/>.<\/p>\n<p id=\"fs-id1170654230844\">To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-3fa03a570b7a33fda05ff109b6c3e927_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#67;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"123\" style=\"vertical-align: -14px;\" \/>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654115235\" data-type=\"note\">\n<div data-type=\"equation\" data-label=\"\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653930602\" data-type=\"problem\">\n<p id=\"fs-id1170653930604\">Before mixing, the Pfizer-BioNTech COVID-19 vaccine may be stored in an ultra-cold freezer between -112\u00b0F and -76\u00b0F. Convert the temperatures into degrees Celsius.<\/p>\n<p><strong>Solution<\/strong><\/p>\n<\/div>\n<div id=\"fs-id1170653755791\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170654232177\">We will substitute a) -112\u00b0F and b) -76\u00b0F into the formula to find C.<\/p>\n<table id=\"eip-id1169749562678\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0F to \u00b0C: C equals 5\/9 times the quantity (F minus 32). On the next line, we are told to \u201cSubstitute 50 for F.\u201d Hence, we obtain C equals 5\/9 times the quantity (50 minus 32). In the next step, we are told to \u201cSimplify in parentheses.\u201d Hence, we obtain C equals 5\/9 times 18. Finally, we are told to \u201cMultiply,\u201d and we obtain C equals 10.\" data-label=\"\">\n<tbody>\n<tr>\n<td>a) Substitute -112 for F<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-6ba42dede9329b51609a106c3c68ec94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#49;&#50;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\">Simplify in parentheses.<\/span><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-05dd9ca017acceb9ae4af9a4b51562dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#52;&#52;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"126\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td>C= &#8211; 80<span id=\"eip-id1169752086596\" data-type=\"media\" data-alt=\".\"><\/span><\/p>\n<p>So we found that -112\u00b0F is equivalent to -80\u00b0C<\/td>\n<\/tr>\n<tr>\n<td>b) Substitute -76 for F<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-6804403c8f07dba046538b023f4d0ed9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#55;&#54;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"163\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169752086570\" data-type=\"media\" data-alt=\".\">Simplify.<\/span><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-d3c557e71bf5b15d3eb9e4d0d617fb27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#45;&#49;&#48;&#56;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"126\" style=\"vertical-align: -14px;\" \/><\/p>\n<p>C= &#8211; 60<\/p>\n<p>So we found that -76\u00b0F is equivalent to &#8211; 60\u00b0C.<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 9<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170654125384\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653772087\" data-type=\"exercise\">\n<div id=\"fs-id1170653772089\" data-type=\"problem\">\n<p id=\"fs-id1170653867974\">Convert the Fahrenheit temperature to degrees Celsius: 59\u00b0 Fahrenheit.<\/p>\n<\/div>\n<div id=\"fs-id1170654032787\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer\u00b0C<\/summary>\n<p id=\"fs-id1170654032789\">15\u00b0C<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170654239368\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170654060534\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654239366\" data-type=\"exercise\">\n<div id=\"fs-id1170653748995\" data-type=\"solution\">\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">EXAMPLE 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653798022\" data-type=\"problem\">\n<p id=\"fs-id1170654067027\">Once mixed, the Pfizer-BioNTech COVID-19 vaccine can be left at room temperature 2\u00b0C to 25\u00b0C. Convert the temperatures into degrees Fahrenheit.<\/p>\n<p><strong>Solution<\/strong><\/p>\n<\/div>\n<div id=\"fs-id1170653769463\" data-type=\"solution\">\n<div data-type=\"title\"><\/div>\n<p id=\"fs-id1170653769466\">We will substitute a) 2\u00b0C and b) 25\u00b0C into the formula to find F.<\/p>\n<table id=\"eip-id1169750701791\" style=\"width: 100%;\" summary=\"We are given the formula for converting \u00b0C to \u00b0F: F equals 9\/5 times C plus 32. On the next line, we are told to \u201cSubstitute 20 for C.\u201d Hence, we obtain that F equals 9\/5 times 20 plus 32. In the next step, we are told to \u201cMultiply.\u201d Hence, we obtain F equals 36 plus 32. Finally, we are told to \u201cAdd,\u201d and we obtain F equals 68.\" data-label=\"\">\n<tbody>\n<tr>\n<td>a) Substitute 2 for C<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-abf4bfef1a6c37caf461a54539cb8cac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#92;&#99;&#100;&#111;&#116;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#125;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"132\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td><span id=\"eip-id1169750701824\" data-type=\"media\" data-alt=\".\">Simplify.<\/span><\/td>\n<td>F= 35.6<\/p>\n<p>So we found that 2\u00b0C is equivalent to 35.6\u00b0F.<\/td>\n<\/tr>\n<tr>\n<td>b) Substitute 25 for C<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-8b1bcb3818e302689acde61d4bad2fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#70;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#92;&#99;&#100;&#111;&#116;&#92;&#116;&#101;&#120;&#116;&#123;&#50;&#53;&#125;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"143\" style=\"vertical-align: -14px;\" \/><\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>F= 77<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>So we found that 25\u00b0C is equivalent to 77\u00b0F.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">TRY IT 10<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<div id=\"fs-id1170653875549\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170653875552\" data-type=\"exercise\">\n<div id=\"fs-id1170653791656\" data-type=\"problem\">\n<p id=\"fs-id1170653791658\">Patient with high fever had a temperature of 39\u00b0 Celsius. Convert it to Fahrenheit.<\/p>\n<\/div>\n<div id=\"fs-id1170654237812\" data-type=\"solution\">\n<details open=\"open\">\n<summary>Show answer<\/summary>\n<p id=\"fs-id1170654238722\">102.2\u00b0F<\/p>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"fs-id1170652620855\" class=\"try\" data-type=\"note\">\n<div id=\"fs-id1170654201794\" data-type=\"exercise\">\n<div id=\"fs-id1170654201796\" data-type=\"problem\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h1 data-type=\"title\">Key Concepts<\/h1>\n<ul id=\"fs-id1170653748210\" data-bullet-style=\"bullet\">\n<li><strong data-effect=\"bold\">Metric System of Measurement<\/strong>\n<ul id=\"fs-id1170653893604\" data-bullet-style=\"open-circle\">\n<li><strong data-effect=\"bold\">Length<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-d4777889f5a877e5866ebef894c11d86_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#107;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#104;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#100;&#97;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#100;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#99;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#109;&#125;&#92;&#104;&#102;&#105;&#108;&#108;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#109;&#101;&#116;&#114;&#101;&#32;&#40;&#109;&#109;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#109;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#101;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#109;&#101;&#116;&#114;&#101;&#115;&#125;&#32;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"230\" width=\"385\" style=\"vertical-align: -109px;\" \/><\/li>\n<li><strong data-effect=\"bold\">Mass<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-e8e3877f08bf122b30385b6e04ced192_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#103;&#114;&#97;&#109;&#32;&#40;&#107;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#103;&#114;&#97;&#109;&#32;&#40;&#104;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#103;&#114;&#97;&#109;&#32;&#40;&#100;&#97;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#32;&#40;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#100;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#99;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#32;&#40;&#109;&#103;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#103;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#103;&#114;&#97;&#109;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#103;&#114;&#97;&#109;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#48;&#48;&#48;&#32;&#109;&#105;&#99;&#111;&#103;&#114;&#97;&#109;&#115;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"256\" width=\"401\" style=\"vertical-align: -122px;\" \/><\/li>\n<li><strong data-effect=\"bold\">Capacity<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c833647535ed330e0440475b589a4aab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#114;&#114;&#97;&#121;&#125;&#123;&#108;&#99;&#108;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#107;&#105;&#108;&#111;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#107;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#104;&#101;&#99;&#116;&#111;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#104;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#107;&#97;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#100;&#97;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#100;&#101;&#99;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#100;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#99;&#101;&#110;&#116;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#99;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#40;&#109;&#76;&#41;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#48;&#46;&#48;&#48;&#49;&#32;&#76;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#48;&#48;&#32;&#99;&#101;&#110;&#116;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#32;&#92;&#92;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#32;&#108;&#105;&#116;&#114;&#101;&#125;&#32;&#38;&#32;&#61;&#32;&#38;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#49;&#44;&#48;&#48;&#48;&#32;&#109;&#105;&#108;&#108;&#105;&#108;&#105;&#116;&#114;&#101;&#32;&#115;&#125;&#92;&#101;&#110;&#100;&#123;&#97;&#114;&#114;&#97;&#121;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"230\" width=\"357\" style=\"vertical-align: -109px;\" \/><\/li>\n<\/ul>\n<\/li>\n<li><strong data-effect=\"bold\">Temperature Conversion<\/strong>\n<ul id=\"fs-id1170653750836\" data-bullet-style=\"open-circle\">\n<li>To convert from Fahrenheit temperature, F, to Celsius temperature, C, use the formula <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-fc79904e2a515ed9e16779297f91e1f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#67;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#57;&#125;&#92;&#108;&#101;&#102;&#116;&#40;&#92;&#116;&#101;&#120;&#116;&#123;&#70;&#125;&#45;&#51;&#50;&#92;&#114;&#105;&#103;&#104;&#116;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"138\" style=\"vertical-align: -14px;\" \/><\/li>\n<li>To convert from Celsius temperature, C, to Fahrenheit temperature, F, use the formula <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c4f760725543edf1a4c7a1f7b9b03109_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#116;&#101;&#120;&#116;&#123;&#70;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#57;&#125;&#123;&#53;&#125;&#92;&#116;&#101;&#120;&#116;&#123;&#67;&#125;&#43;&#51;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"119\" style=\"vertical-align: -14px;\" \/><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h1 style=\"text-align: left;\" data-type=\"title\">6.1 Exercise Set<\/h1>\n<p id=\"fs-id1166424788676\">In the following exercises, convert the units.<\/p>\n<ol>\n<li>A basketball player is 6 feet tall. Convert his height to inches.<\/li>\n<li>Kelvin is 18 inches tall. Convert his height to feet.<\/li>\n<li>Doctor recommended a patient to walk 1.5 miles every other day. Convert the distance to feet.<\/li>\n<li>Misty\u2019s surgery lasted <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-c46163cd36b18aafc3032ce98b4c7732_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"23\" style=\"vertical-align: -14px;\" \/> hours. Convert the time to seconds.<\/li>\n<li>How many teaspoons are in a pint?<\/li>\n<li>Jon is 6 feet 4 inches tall. Convert his height to inches.<\/li>\n<li>Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.<\/li>\n<\/ol>\n<p id=\"fs-id1166420323132\">In the following exercises, convert the units.<\/p>\n<ol start=\"8\">\n<li>Ryan ran 5 kilometres. Convert the length to metres.<\/li>\n<li>Emily is 1.55 metres tall. Convert her height to centimetres.<\/li>\n<li>June\u2019s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.<\/li>\n<li>One stick of butter contains 91.6 grams of fat. Convert this to milligrams.<\/li>\n<li>Dimitri\u2019s daughter weighed 3.8 kilograms at birth. Convert this to grams<\/li>\n<li>A bottle of medicine contained 300 millilitres. Convert this to litres.<\/li>\n<\/ol>\n<p id=\"fs-id1166424959232\">In the following exercises, solve.<\/p>\n<ol start=\"14\">\n<li>Matthias is 1.8 metres tall. His son is 89 centimetres tall. How much taller is Matthias than his son?<\/li>\n<li>One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?<\/li>\n<li>Jonas drinks 200 millilitres of water 8 times a day. How many litres of water does Jonas drink in a day?<\/li>\n<\/ol>\n<p id=\"fs-id1166424799920\">In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\n<ol start=\"17\">\n<li>Bill is 75 inches tall. Convert his height to centimetres.<\/li>\n<li>Kathryn is 1.6 metres tall. Convert her height to feet<\/li>\n<\/ol>\n<p id=\"fs-id1166422524475\">In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.<\/p>\n<ol class=\"twocolumn\" start=\"19\">\n<li>86\u00b0 Fahrenheit<\/li>\n<li>104\u00b0 Fahrenheit<\/li>\n<li>72\u00b0 Fahrenheit<\/li>\n<li>0\u00b0 Fahrenheit<\/li>\n<\/ol>\n<p id=\"fs-id1170653742219\">In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\n<ol class=\"twocolumn\" start=\"23\">\n<li>5\u00b0 Celsius<\/li>\n<li>-10\u00b0 Celsius<\/li>\n<li>22\u00b0 Celsius<\/li>\n<li>43\u00b0 Celsius<\/li>\n<\/ol>\n<p data-type=\"title\">Everyday Math<\/p>\n<ol start=\"27\">\n<li><strong data-effect=\"bold\">Nutrition<\/strong> Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?<\/li>\n<\/ol>\n<h2 data-type=\"title\"><span style=\"font-size: 1.2em; word-spacing: normal;\">Answers<\/span><\/h2>\n<ol class=\"twocolumn\">\n<li>72 inches<\/li>\n<li>1.5 feet<\/li>\n<li>7,920 feet<\/li>\n<li>5,400 s<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-content\/ql-cache\/quicklatex.com-3ab2f0449c0a58e546f525ea548ce6ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#57;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"21\" style=\"vertical-align: 0px;\" \/> teaspoons<\/li>\n<li>76 in.<\/li>\n<li>115 ounces<\/li>\n<li>5,000 metres<\/li>\n<li>155 centimetres<\/li>\n<li>1.5 grams<\/li>\n<li>91,600 milligrams<\/li>\n<li>3,800 grams<\/li>\n<li>0.3 litres<\/li>\n<li>91 centimetres<\/li>\n<li>16.8 grams<\/li>\n<li>1.6 litres<\/li>\n<li>190.5 centimetres<\/li>\n<li>5.2 feet<\/li>\n<li>30\u00b0C<\/li>\n<li>40\u00b0C<\/li>\n<li>22.2\u00b0C<\/li>\n<li>-17.8\u00b0C<\/li>\n<li>41\u00b0F<\/li>\n<li>14\u00b0F<\/li>\n<li>71.6\u00b0F<\/li>\n<li>109.4\u00b0F<\/li>\n<li>14.6 kilograms<\/li>\n<\/ol>\n<h1>Attributions<\/h1>\n<ol>\n<li>This chapter has been adapted from \u201cSystems of Measurement\u201d in <a href=\"https:\/\/openstax.org\/details\/books\/elementary-algebra\"><em>Elementary Algebra<\/em><\/a> (OpenStax) by Lynn Marecek and MaryAnne Anthony-Smith, which is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY 4.0 Licence<\/a>. Adapted by Izabela Mazur. See the Copyright page for more information.<\/li>\n<li><a href=\"https:\/\/pressbooks.oer.hawaii.edu\/humannutrition2\/chapter\/2-the-cardiovascular-system\/\">OER.hawaii.edu<\/a><\/li>\n<li>COVID-19 Government of Canada website https:\/\/www.canada.ca\/en\/health-canada\/news\/2021\/05\/health-canada-authorizes-more-flexible-storage-conditions-for-pfizer-biontech-covid-19-vaccine.html<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"author":708,"menu_order":17,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-6356","chapter","type-chapter","status-publish","hentry"],"part":6363,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapters\/6356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/wp\/v2\/users\/708"}],"version-history":[{"count":25,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapters\/6356\/revisions"}],"predecessor-version":[{"id":7145,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapters\/6356\/revisions\/7145"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/parts\/6363"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapters\/6356\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/wp\/v2\/media?parent=6356"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/pressbooks\/v2\/chapter-type?post=6356"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/wp\/v2\/contributor?post=6356"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/mycopy\/wp-json\/wp\/v2\/license?post=6356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}