{"id":29,"date":"2023-01-06T16:18:57","date_gmt":"2023-01-06T21:18:57","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math023\/chapter\/estimating-products\/"},"modified":"2025-07-03T22:38:11","modified_gmt":"2025-07-04T02:38:11","slug":"estimating-products","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math023\/chapter\/estimating-products\/","title":{"raw":"Topic C: Estimating Products","rendered":"Topic C: Estimating Products"},"content":{"raw":"Before you practice estimating products, look at the easy multiplication that can be done when the factors end in zeros.\r\n\r\nYou already know how to quickly multiply by 10, 100, 1<span style=\"margin-left: 0.25em\">000<\/span>, etc...\r\n\r\nYou can find the products in questions like these using regular multiplication:\r\n\r\n<strong>But here is a shortcut:<\/strong>\r\n<ol>\r\n \t<li>Count all the zeros at the end of the numbers in both factors.<\/li>\r\n \t<li>Write down that many zeros at the end of the product.<\/li>\r\n \t<li>Multiply the other digits in the usual way and put them before the zeros.<\/li>\r\n<\/ol>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example A<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n30 \u00d7 500 =\r\n<ul>\r\n \t<li>How many zeros at the end of the factors? <strong>3<\/strong><\/li>\r\n \t<li>Write them down. <strong>000<\/strong><\/li>\r\n \t<li>Multiply the other digits and put them before the zeros. <strong>3 \u00d7 5 = 15<\/strong><\/li>\r\n<\/ul>\r\n30 \u00d7 500 = 15<span style=\"margin-left: 0.25em\">000<\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example B<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n400 \u00d7 3<span style=\"margin-left: 0.25em\">000<\/span> =\r\n<ul>\r\n \t<li>How many zeros at the end of the factors? <strong>5<\/strong><\/li>\r\n \t<li>Write them down. <strong>00<span style=\"margin-left: 0.25em\">000<\/span><\/strong><\/li>\r\n \t<li>Multiply the other digits and put them before the zeros. 4 \u00d7 3 = 12<\/li>\r\n<\/ul>\r\n400 \u00d7 3<span style=\"margin-left: 0.25em\">000<\/span> = 1<span style=\"margin-left: 0.25em\">200<span style=\"margin-left: 0.25em\">000<\/span><\/span>\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\">Exercise 1<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nFind the products using the shortcut. Check your work using the answer key at the end of the exercise.\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>[latex]\\begin{array}{rr}&amp;300\\\\\\times&amp;20\\\\\\hline&amp;6000\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;6000\\\\\\times&amp;200\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;210\\\\\\times&amp;20\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;800\\\\\\times&amp;600\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;400\\\\\\times&amp;500\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;6000\\\\\\times&amp;90\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;50000\\\\\\times&amp;6000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;80000\\\\\\times&amp;30\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;5000\\\\\\times&amp;50\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;70\\\\\\times&amp;80\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;3000\\\\\\times&amp;700\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;50000\\\\\\times&amp;900\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;9000\\\\\\times&amp;8000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;60000\\\\\\times&amp;90\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;90000\\\\\\times&amp;2000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;600\\\\\\times&amp;600\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;40000\\\\\\times&amp;800\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;2400\\\\\\times&amp;70\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;390\\\\\\times&amp;40\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;7200\\\\\\times&amp;5000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;7000\\\\\\times&amp;7000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;61000\\\\\\times&amp;400\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;5200\\\\\\times&amp;300\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;40\\\\\\times&amp;60\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\r\n<\/ol>\r\n<strong>Answers to Exercise 1<\/strong>\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>6 000<\/li>\r\n \t<li>1 200 000<\/li>\r\n \t<li>4 200<\/li>\r\n \t<li>480 000<\/li>\r\n \t<li>200 000<\/li>\r\n \t<li>540 000<\/li>\r\n \t<li>300 000 000<\/li>\r\n \t<li>2 400 000<\/li>\r\n \t<li>250 000<\/li>\r\n \t<li>5 600<\/li>\r\n \t<li>2 100 000<\/li>\r\n \t<li>45 000 000<\/li>\r\n \t<li>72 000 000<\/li>\r\n \t<li>5 400 000<\/li>\r\n \t<li>180 000 000<\/li>\r\n \t<li>360 000<\/li>\r\n \t<li>32 000 000<\/li>\r\n \t<li>168 000<\/li>\r\n \t<li>15 600<\/li>\r\n \t<li>36 000 000<\/li>\r\n \t<li>49 000 000<\/li>\r\n \t<li>24 400 000<\/li>\r\n \t<li>1 560 000<\/li>\r\n \t<li>2 400<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\nTo find an estimated product, round the factors before you multiply. If a factor has only one digit, do not round it.\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example C<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n[latex]\\begin{array}{rr}&amp;6258\\\\\\times&amp;3\\\\\\hline\\end{array}[\/latex]\r\n\r\n6<span style=\"margin-left: 0.25em\">258<\/span> rounds to 6<span style=\"margin-left: 0.25em\">000<\/span>. Leave 3 as is.\r\n\r\n[latex]\\begin{array}{rr}&amp;6000\\\\\\times&amp;3\\\\\\hline&amp;18000\\end{array}[\/latex]\r\n\r\n18<span style=\"margin-left: 0.25em\">000<\/span> is the estimated product.\r\n\r\n<\/div>\r\n<\/div>\r\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\r\n<p class=\"textbox__title\">Example D<\/p>\r\n\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\n[latex]\\begin{array}{rr}&amp;491\\\\\\times&amp;24\\\\\\hline\\end{array}[\/latex]\r\n\r\n491 rounds to 500. 24 rounds to 20.\r\n\r\n[latex]\\begin{array}{rr}&amp;500\\\\\\times&amp;20\\\\\\hline&amp;10000\\end{array}[\/latex]\r\n\r\n10<span style=\"margin-left: 0.25em\">000<\/span> is the estimated product.\r\n\r\n<\/div>\r\n<\/div>\r\n<h1 class=\"page-break-before\">Topic C: Self-Test<\/h1>\r\n<strong>Mark\u00a0 \/18 \u00a0\u00a0 Aim\u00a0 15\/18<\/strong>\r\n<ol type=\"A\">\r\n \t<li>Multiply these numbers.\r\n<ol class=\"threecolumn space\" type=\"a\">\r\n \t<li>[latex]\\begin{array}{rr}&amp;600\\\\\\times&amp;70\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;9000\\\\\\times&amp;30\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;5000\\\\\\times&amp;600\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;3000\\\\\\times&amp;500\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;400\\\\\\times&amp;50\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;8000\\\\\\times&amp;1000\\\\\\hline\\end{array}[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Find an estimated product.\r\n<ol class=\"threecolumn space\" type=\"a\">\r\n \t<li>[latex]\\begin{array}{rr}&amp;87\\\\\\times&amp;23\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;268\\\\\\times&amp;25\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;9421\\\\\\times&amp;75\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;2632\\\\\\times&amp;49\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;365\\\\\\times&amp;455\\\\\\hline\\end{array}[\/latex]<\/li>\r\n \t<li>[latex]\\begin{array}{rr}&amp;7264\\\\\\times&amp;590\\\\\\hline\\end{array}[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<h2>Answers to Topic C Self-Test<\/h2>\r\n<ol type=\"A\">\r\n \t<li>Multiply these numbers.\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>42<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>270<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>3<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\r\n \t<li>1<span style=\"margin-left: 0.25em\">500<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\r\n \t<li>20<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>8<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>Find an estimated product.\r\n<ol class=\"threecolumn\" type=\"a\">\r\n \t<li>90 \u00d7 20 = 1<span style=\"margin-left: 0.25em\">800<\/span><\/li>\r\n \t<li>300 \u00d7 30 = 9<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>9<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 80 = 720<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>3<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 50 = 150<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>400 \u00d7 500 = 200<span style=\"margin-left: 0.25em\">000<\/span><\/li>\r\n \t<li>7<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 600 = 4<span style=\"margin-left: 0.25em\">200<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>","rendered":"<p>Before you practice estimating products, look at the easy multiplication that can be done when the factors end in zeros.<\/p>\n<p>You already know how to quickly multiply by 10, 100, 1<span style=\"margin-left: 0.25em\">000<\/span>, etc&#8230;<\/p>\n<p>You can find the products in questions like these using regular multiplication:<\/p>\n<p><strong>But here is a shortcut:<\/strong><\/p>\n<ol>\n<li>Count all the zeros at the end of the numbers in both factors.<\/li>\n<li>Write down that many zeros at the end of the product.<\/li>\n<li>Multiply the other digits in the usual way and put them before the zeros.<\/li>\n<\/ol>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example A<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>30 \u00d7 500 =<\/p>\n<ul>\n<li>How many zeros at the end of the factors? <strong>3<\/strong><\/li>\n<li>Write them down. <strong>000<\/strong><\/li>\n<li>Multiply the other digits and put them before the zeros. <strong>3 \u00d7 5 = 15<\/strong><\/li>\n<\/ul>\n<p>30 \u00d7 500 = 15<span style=\"margin-left: 0.25em\">000<\/span><\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example B<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>400 \u00d7 3<span style=\"margin-left: 0.25em\">000<\/span> =<\/p>\n<ul>\n<li>How many zeros at the end of the factors? <strong>5<\/strong><\/li>\n<li>Write them down. <strong>00<span style=\"margin-left: 0.25em\">000<\/span><\/strong><\/li>\n<li>Multiply the other digits and put them before the zeros. 4 \u00d7 3 = 12<\/li>\n<\/ul>\n<p>400 \u00d7 3<span style=\"margin-left: 0.25em\">000<\/span> = 1<span style=\"margin-left: 0.25em\">200<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise 1<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Find the products using the shortcut. Check your work using the answer key at the end of the exercise.<\/p>\n<ol class=\"threecolumn\" type=\"a\">\n<li>[latex]\\begin{array}{rr}&300\\\\\\times&20\\\\\\hline&6000\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&6000\\\\\\times&200\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&210\\\\\\times&20\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&800\\\\\\times&600\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&400\\\\\\times&500\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&6000\\\\\\times&90\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&50000\\\\\\times&6000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&80000\\\\\\times&30\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&5000\\\\\\times&50\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&70\\\\\\times&80\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&3000\\\\\\times&700\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&50000\\\\\\times&900\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&9000\\\\\\times&8000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&60000\\\\\\times&90\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&90000\\\\\\times&2000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&600\\\\\\times&600\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&40000\\\\\\times&800\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&2400\\\\\\times&70\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&390\\\\\\times&40\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&7200\\\\\\times&5000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&7000\\\\\\times&7000\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&61000\\\\\\times&400\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&5200\\\\\\times&300\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&40\\\\\\times&60\\\\\\hline\\\\\\end{array}[\/latex]<\/li>\n<\/ol>\n<p><strong>Answers to Exercise 1<\/strong><\/p>\n<ol class=\"threecolumn\" type=\"a\">\n<li>6 000<\/li>\n<li>1 200 000<\/li>\n<li>4 200<\/li>\n<li>480 000<\/li>\n<li>200 000<\/li>\n<li>540 000<\/li>\n<li>300 000 000<\/li>\n<li>2 400 000<\/li>\n<li>250 000<\/li>\n<li>5 600<\/li>\n<li>2 100 000<\/li>\n<li>45 000 000<\/li>\n<li>72 000 000<\/li>\n<li>5 400 000<\/li>\n<li>180 000 000<\/li>\n<li>360 000<\/li>\n<li>32 000 000<\/li>\n<li>168 000<\/li>\n<li>15 600<\/li>\n<li>36 000 000<\/li>\n<li>49 000 000<\/li>\n<li>24 400 000<\/li>\n<li>1 560 000<\/li>\n<li>2 400<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>To find an estimated product, round the factors before you multiply. If a factor has only one digit, do not round it.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example C<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>[latex]\\begin{array}{rr}&6258\\\\\\times&3\\\\\\hline\\end{array}[\/latex]<\/p>\n<p>6<span style=\"margin-left: 0.25em\">258<\/span> rounds to 6<span style=\"margin-left: 0.25em\">000<\/span>. Leave 3 as is.<\/p>\n<p>[latex]\\begin{array}{rr}&6000\\\\\\times&3\\\\\\hline&18000\\end{array}[\/latex]<\/p>\n<p>18<span style=\"margin-left: 0.25em\">000<\/span> is the estimated product.<\/p>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example D<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>[latex]\\begin{array}{rr}&491\\\\\\times&24\\\\\\hline\\end{array}[\/latex]<\/p>\n<p>491 rounds to 500. 24 rounds to 20.<\/p>\n<p>[latex]\\begin{array}{rr}&500\\\\\\times&20\\\\\\hline&10000\\end{array}[\/latex]<\/p>\n<p>10<span style=\"margin-left: 0.25em\">000<\/span> is the estimated product.<\/p>\n<\/div>\n<\/div>\n<h1 class=\"page-break-before\">Topic C: Self-Test<\/h1>\n<p><strong>Mark\u00a0 \/18 \u00a0\u00a0 Aim\u00a0 15\/18<\/strong><\/p>\n<ol type=\"A\">\n<li>Multiply these numbers.\n<ol class=\"threecolumn space\" type=\"a\">\n<li>[latex]\\begin{array}{rr}&600\\\\\\times&70\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&9000\\\\\\times&30\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&5000\\\\\\times&600\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&3000\\\\\\times&500\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&400\\\\\\times&50\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&8000\\\\\\times&1000\\\\\\hline\\end{array}[\/latex]<\/li>\n<\/ol>\n<\/li>\n<li>Find an estimated product.\n<ol class=\"threecolumn space\" type=\"a\">\n<li>[latex]\\begin{array}{rr}&87\\\\\\times&23\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&268\\\\\\times&25\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&9421\\\\\\times&75\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&2632\\\\\\times&49\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&365\\\\\\times&455\\\\\\hline\\end{array}[\/latex]<\/li>\n<li>[latex]\\begin{array}{rr}&7264\\\\\\times&590\\\\\\hline\\end{array}[\/latex]<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic C Self-Test<\/h2>\n<ol type=\"A\">\n<li>Multiply these numbers.\n<ol class=\"threecolumn\" type=\"a\">\n<li>42<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>270<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>3<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\n<li>1<span style=\"margin-left: 0.25em\">500<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\n<li>20<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>8<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<li>Find an estimated product.\n<ol class=\"threecolumn\" type=\"a\">\n<li>90 \u00d7 20 = 1<span style=\"margin-left: 0.25em\">800<\/span><\/li>\n<li>300 \u00d7 30 = 9<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>9<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 80 = 720<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>3<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 50 = 150<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>400 \u00d7 500 = 200<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>7<span style=\"margin-left: 0.25em\">000<\/span> \u00d7 600 = 4<span style=\"margin-left: 0.25em\">200<span style=\"margin-left: 0.25em\">000<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":8,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-29","chapter","type-chapter","status-publish","hentry"],"part":24,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/users\/999"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/29\/revisions"}],"predecessor-version":[{"id":199,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/29\/revisions\/199"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/parts\/24"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapters\/29\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/media?parent=29"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/pressbooks\/v2\/chapter-type?post=29"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/contributor?post=29"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math023\/wp-json\/wp\/v2\/license?post=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}