{"id":41,"date":"2022-08-16T19:44:19","date_gmt":"2022-08-16T23:44:19","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/ordering-numerals\/"},"modified":"2025-01-22T13:12:12","modified_gmt":"2025-01-22T18:12:12","slug":"ordering-numerals","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/ordering-numerals\/","title":{"raw":"Topic C: Ordering Numerals","rendered":"Topic C: Ordering Numerals"},"content":{"raw":"In this topic you will learn to arrange numerals in order from smallest to largest. Sorting numbered papers such as order forms, arranging items by the date and comparing prices are examples of the ways you use this skill. First look at pairs of numerals. Look at two numerals and tell which one is larger. How do you do this?\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise One<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nIdentify the larger number in each pair.\n<ol type=\"a\">\n \t<li>431; <span style=\"border: 1px solid;border-radius: 30px;padding: 2px 2px 2px 2px\">484<\/span> - 484 is larger<\/li>\n \t<li>267; 251<\/li>\n \t<li>684; 693<\/li>\n \t<li>274; 315<\/li>\n \t<li>932; 895<\/li>\n \t<li>792; 810<\/li>\n<\/ol>\n<strong>Answers to Exercise One<\/strong>\n<ol start=\"2\" type=\"a\">\n \t<li>267<\/li>\n \t<li>693<\/li>\n \t<li>315<\/li>\n \t<li>932<\/li>\n \t<li>810<\/li>\n<\/ol>\n<\/div>\n<\/div>\nTo compare numerals, look at the place with the largest value.\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Example A: Compare 1 628 and 1 599.<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n \t<li>thousands are the same.<\/li>\n \t<li>hundreds\n<ul>\n \t<li>1<span style=\"margin-left: 0.25em\">628<\/span> has 6 hundreds.<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">599<\/span> has 5 hundreds.<\/li>\n<\/ul>\n<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">628<\/span> is larger than 1 599.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Example B: Compare 13 562 and 13 612<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n \t<li>ten thousands are the same<\/li>\n \t<li>thousands are the same<\/li>\n \t<li>hundreds\n<ul>\n \t<li>13<span style=\"margin-left: 0.25em\">562<\/span> has 5 hundreds<\/li>\n \t<li>13<span style=\"margin-left: 0.25em\">612<\/span> has 6 hundreds<\/li>\n<\/ul>\n<\/li>\n \t<li>13<span style=\"margin-left: 0.25em\">612<\/span> is larger than 13<span style=\"margin-left: 0.25em\">562<\/span>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Example C: Compare 673<span style=\"margin-left: 0.25em\">234<\/span> and 673<span style=\"margin-left: 0.25em\">423<\/span><\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n \t<li>hundred thousands are the same<\/li>\n \t<li>ten thousands are the same<\/li>\n \t<li>thousands are the same<\/li>\n \t<li>hundreds\n<ul>\n \t<li>673<span style=\"margin-left: 0.25em\">234<\/span> has 2 hundreds<\/li>\n \t<li>673<span style=\"margin-left: 0.25em\">423<\/span> has 4 hundreds<\/li>\n<\/ul>\n<\/li>\n \t<li>673<span style=\"margin-left: 0.25em\">423<\/span> is larger than 673<span style=\"margin-left: 0.25em\">234<\/span>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\nNote: Numerals with one digit are always less than numerals with two digits. Numerals with two digits are always less than numerals with three digits, and so on.\n<ul>\n \t<li>9 is less than 15<\/li>\n \t<li>87 is less than 107<\/li>\n \t<li>999 is less than 1 001<\/li>\n<\/ul>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Two<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nDraw a box around the larger numeral in each pair. Check your work using the answer key at the end of the exercise.\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>1016; <span style=\"border: 1px solid;border-radius: 30px;padding: 2px 2px 2px 2px\">1316<\/span><\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">229; 1<span style=\"margin-left: 0.25em\">329<\/span><\/span><\/li>\n \t<li>5<span style=\"margin-left: 0.25em\">230<\/span>; 5<span style=\"margin-left: 0.25em\">210<\/span><\/li>\n \t<li>2<span style=\"margin-left: 0.25em\">151<\/span>; 2<span style=\"margin-left: 0.25em\">159<\/span><\/li>\n \t<li>83<span style=\"margin-left: 0.25em\">476<\/span>; 93<span style=\"margin-left: 0.25em\">475<\/span><\/li>\n \t<li>31<span style=\"margin-left: 0.25em\">276<\/span>;\u00a031<span style=\"margin-left: 0.25em\">576<\/span><\/li>\n \t<li>46<span style=\"margin-left: 0.25em\">821<\/span>; 46<span style=\"margin-left: 0.25em\">801<\/span><\/li>\n \t<li>343; 3<span style=\"margin-left: 0.25em\">740<\/span><\/li>\n \t<li>8<span style=\"margin-left: 0.25em\">325<\/span>; 8<span style=\"margin-left: 0.25em\">236<\/span><\/li>\n<\/ol>\n<strong>Answers to Exercise Two<\/strong>\n<ol class=\"twocolumn\" start=\"2\" type=\"a\">\n \t<li>1<span style=\"margin-left: 0.25em\">329<\/span><\/li>\n \t<li>5<span style=\"margin-left: 0.25em\">230<\/span><\/li>\n \t<li>2<span style=\"margin-left: 0.25em\">159<\/span><\/li>\n \t<li>93<span style=\"margin-left: 0.25em\">476<\/span><\/li>\n \t<li>31<span style=\"margin-left: 0.25em\">576<\/span><\/li>\n \t<li>46<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n \t<li>3<span style=\"margin-left: 0.25em\">740<\/span><\/li>\n \t<li>8<span style=\"margin-left: 0.25em\">325<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\nNow use the same ideas to arrange more than two numerals in order.\n\nFor example, to arrange 6, 616, 1, 66, 666, 61, and 16 in order from smallest to largest, use the following method:\n<ol>\n \t<li>First, sort the numerals with the same number of digits into groups.\n<ul>\n \t<li>6, 1<\/li>\n \t<li>66, 16, 61<\/li>\n \t<li>and 616, 666<\/li>\n<\/ul>\n<\/li>\n \t<li>The group of one digit numerals contains 6 and 1. As 1 is smaller than 6, the list starts with 1, then 6.<\/li>\n \t<li>The group of two-digit numerals contains 66, 61, and 16. Use your skills in ordering numerals to see that 16 is smallest, then 61, and 66 is the largest of this group. The list now reads, 1, 6, 16, 61, 66.<\/li>\n \t<li>Finally, look at the three-digit numerals, 616 and 666. As 616 is smaller than 666, it will come first. The list now reads:\n<ul>\n \t<li>1, 6, 16, 61, 66, 616, 666.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Three<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nArrange these numbers in order from smallest to largest. Check your work using the answer key at the end of the exercise.\n<ol type=\"a\">\n \t<li>1<span style=\"margin-left: 0.25em\">235<\/span>; 1<span style=\"margin-left: 0.25em\">352<\/span>; 1<span style=\"margin-left: 0.25em\">523<\/span>; 1<span style=\"margin-left: 0.25em\">253<\/span><\/li>\n \t<li>47<span style=\"margin-left: 0.25em\">259<\/span>; 42<span style=\"margin-left: 0.25em\">759<\/span>; 45<span style=\"margin-left: 0.25em\">279<\/span>; 47<span style=\"margin-left: 0.25em\">592<\/span><\/li>\n \t<li>73<span style=\"margin-left: 0.25em\">050<\/span>; 76<span style=\"margin-left: 0.25em\">940<\/span>; 79<span style=\"margin-left: 0.25em\">053<\/span>; 73<span style=\"margin-left: 0.25em\">502<\/span><\/li>\n \t<li>456 719; 465 981; 546 423; 564 082<\/li>\n \t<li>12<span style=\"margin-left: 0.25em\">546<\/span>; 5<span style=\"margin-left: 0.25em\">781<\/span>; 423; 172<span style=\"margin-left: 0.25em\">901<\/span><\/li>\n \t<li>114<span style=\"margin-left: 0.25em\">444<\/span>; 444; 14; 1<span style=\"margin-left: 0.25em\">114<\/span><span style=\"margin-left: 0.25em\">444; 44<\/span><\/li>\n \t<li>777; 17; 71; 7<span style=\"margin-left: 0.25em\">177<\/span>; 717; 77<span style=\"margin-left: 0.25em\">177<\/span><\/li>\n<\/ol>\n<strong>Answers to Exercise Three<\/strong>\n<ol type=\"a\">\n \t<li>1<span style=\"margin-left: 0.25em\">235<\/span>, 1<span style=\"margin-left: 0.25em\">253<\/span>, 1<span style=\"margin-left: 0.25em\">352<\/span>, 1<span style=\"margin-left: 0.25em\">523<\/span><\/li>\n \t<li>42<span style=\"margin-left: 0.25em\">759<\/span>, 45<span style=\"margin-left: 0.25em\">279<\/span>, 47<span style=\"margin-left: 0.25em\">259<\/span>, 47<span style=\"margin-left: 0.25em\">592<\/span><\/li>\n \t<li>73<span style=\"margin-left: 0.25em\">050<\/span>, 73, 502, 76<span style=\"margin-left: 0.25em\">940<\/span>, 79<span style=\"margin-left: 0.25em\">053<\/span><\/li>\n \t<li>456<span style=\"margin-left: 0.25em\">719<\/span>, 465<span style=\"margin-left: 0.25em\">981<\/span>, 546<span style=\"margin-left: 0.25em\">423<\/span>, 564<span style=\"margin-left: 0.25em\">082<\/span><\/li>\n \t<li>423, 5<span style=\"margin-left: 0.25em\">781<\/span>, 12<span style=\"margin-left: 0.25em\">546<\/span>, 172<span style=\"margin-left: 0.25em\">901<\/span><\/li>\n \t<li>14, 44, 444, 114<span style=\"margin-left: 0.25em\">444<\/span>, 1<span style=\"margin-left: 0.25em\">114<\/span><span style=\"margin-left: 0.25em\">444<\/span><\/li>\n \t<li>17, 71, 717, 777, 7<span style=\"margin-left: 0.25em\">177<\/span>, 77<span style=\"margin-left: 0.25em\">177<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Greater Than, Less Than, Equal<\/h1>\nThe sign &lt; means is less than (smaller than).\n\nThe sign &gt; means is greater than (bigger than).\n\nThe greater than and less than signs always point to the smaller number (that is, the small part of the sign is close to the small number.)\n\n5\u00a0 &lt; 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 is less than 12\n\n6\u00a0 &gt; 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6 is greater than 3\n\nThe sign = means equals and is used when two amounts are the same.\n\nThe sign\u00a0\u2260 means not equal to and is used when two amounts are not the same.\n<div class=\"textbox textbox--exercises\"><header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Three<\/p>\n\n<\/header>\n<div class=\"textbox__content\">\n\nWrite &lt;, &gt;, or = in each blank as needed. Check your work using the answer key at the end of the exercise.\n<ol type=\"a\">\n \t<li>4<span style=\"margin-left: 0.25em\">376<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 12<span style=\"margin-left: 0.25em\">376<\/span><\/li>\n \t<li>342<span style=\"margin-left: 0.25em\">981<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 324<span style=\"margin-left: 0.25em\">762<\/span><\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">520<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 1<span style=\"margin-left: 0.25em\">530<\/span><\/li>\n \t<li>5<span style=\"margin-left: 0.25em\">821<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 5<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n \t<li>3<span style=\"margin-left: 0.25em\">674<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">296<\/span><\/li>\n \t<li>6<span style=\"margin-left: 0.25em\">214<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 6<span style=\"margin-left: 0.25em\">251<\/span><\/li>\n<\/ol>\n<strong>Answers to Exercise Three<\/strong>\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>&lt;<\/li>\n \t<li>&gt;<\/li>\n \t<li>&lt;<\/li>\n \t<li>=<\/li>\n \t<li>&gt;<\/li>\n \t<li>&lt;<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Topic C: Self-Test<\/h1>\n<strong>Mark \/12\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Aim 10\/12<\/strong>\n<ol type=\"A\">\n \t<li>Box the larger number of each pair. (6 marks)\n<ol type=\"a\">\n \t<li>9<span style=\"margin-left: 0.25em\">784<\/span>; 7<span style=\"margin-left: 0.25em\">892<\/span><\/li>\n \t<li>56<span style=\"margin-left: 0.25em\">663<\/span>; 56<span style=\"margin-left: 0.25em\">566<\/span><\/li>\n \t<li>13<span style=\"margin-left: 0.25em\">204<\/span>; 14<span style=\"margin-left: 0.25em\">420<\/span><\/li>\n \t<li>721<span style=\"margin-left: 0.25em\">011<\/span>; 721<span style=\"margin-left: 0.25em\">101<\/span><\/li>\n \t<li>461<span style=\"margin-left: 0.25em\">300<\/span>; 416<span style=\"margin-left: 0.25em\">003<\/span><\/li>\n \t<li>2<span style=\"margin-left: 0.25em\">879<\/span><span style=\"margin-left: 0.25em\">921<\/span>; 2<span style=\"margin-left: 0.25em\">987<\/span><span style=\"margin-left: 0.25em\">721<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>Arrange these numerals in order from smallest to largest. (2 marks)\n<ol type=\"a\">\n \t<li>75; 754; 475; 47; 5<span style=\"margin-left: 0.25em\">747<\/span>; 5<span style=\"margin-left: 0.25em\">774<\/span>; 77<span style=\"margin-left: 0.25em\">575<\/span><\/li>\n \t<li>18; 23<span style=\"margin-left: 0.25em\">070<\/span>; 429; 7<span style=\"margin-left: 0.25em\">824<\/span>; 37; 994; 1<span style=\"margin-left: 0.25em\">120<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>Write &gt;, &lt;. or = in each blank to make a true statement. (4 marks)\n<ol type=\"a\">\n \t<li>3<span style=\"margin-left: 0.25em\">678<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">768<\/span><\/li>\n \t<li>14<span style=\"margin-left: 0.25em\">002<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 14<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n \t<li>38<span style=\"margin-left: 0.25em\">463<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">846<\/span><\/li>\n \t<li>10<span style=\"margin-left: 0.25em\">010<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 10<span style=\"margin-left: 0.25em\">010<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic C: Self-Test<\/h2>\n<ol type=\"A\">\n \t<li>\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>9<span style=\"margin-left: 0.25em\">784<\/span><\/li>\n \t<li>56<span style=\"margin-left: 0.25em\">663<\/span><\/li>\n \t<li>14<span style=\"margin-left: 0.25em\">420<\/span><\/li>\n \t<li>721<span style=\"margin-left: 0.25em\">101<\/span><\/li>\n \t<li>461<span style=\"margin-left: 0.25em\">300<\/span><\/li>\n \t<li>2<span style=\"margin-left: 0.25em\">987<\/span><span style=\"margin-left: 0.25em\">721<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>\n<ol type=\"a\">\n \t<li>47, 75, 475, 754, 5<span style=\"margin-left: 0.25em\">747<\/span>, 5<span style=\"margin-left: 0.25em\">774<\/span>, 77<span style=\"margin-left: 0.25em\">575<\/span><\/li>\n \t<li>18, 37, 429, 994, 1<span style=\"margin-left: 0.25em\">120<\/span>, 7<span style=\"margin-left: 0.25em\">824<\/span>, 23<span style=\"margin-left: 0.25em\">070<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>&lt;<\/li>\n \t<li>&gt;<\/li>\n \t<li>&gt;<\/li>\n \t<li>=<\/li>\n<\/ol>\n<\/li>\n<\/ol>","rendered":"<p>In this topic you will learn to arrange numerals in order from smallest to largest. Sorting numbered papers such as order forms, arranging items by the date and comparing prices are examples of the ways you use this skill. First look at pairs of numerals. Look at two numerals and tell which one is larger. How do you do this?<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise One<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Identify the larger number in each pair.<\/p>\n<ol type=\"a\">\n<li>431; <span style=\"border: 1px solid;border-radius: 30px;padding: 2px 2px 2px 2px\">484<\/span> &#8211; 484 is larger<\/li>\n<li>267; 251<\/li>\n<li>684; 693<\/li>\n<li>274; 315<\/li>\n<li>932; 895<\/li>\n<li>792; 810<\/li>\n<\/ol>\n<p><strong>Answers to Exercise One<\/strong><\/p>\n<ol start=\"2\" type=\"a\">\n<li>267<\/li>\n<li>693<\/li>\n<li>315<\/li>\n<li>932<\/li>\n<li>810<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>To compare numerals, look at the place with the largest value.<\/p>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example A: Compare 1 628 and 1 599.<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n<li>thousands are the same.<\/li>\n<li>hundreds\n<ul>\n<li>1<span style=\"margin-left: 0.25em\">628<\/span> has 6 hundreds.<\/li>\n<li>1<span style=\"margin-left: 0.25em\">599<\/span> has 5 hundreds.<\/li>\n<\/ul>\n<\/li>\n<li>1<span style=\"margin-left: 0.25em\">628<\/span> is larger than 1 599.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example B: Compare 13 562 and 13 612<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n<li>ten thousands are the same<\/li>\n<li>thousands are the same<\/li>\n<li>hundreds\n<ul>\n<li>13<span style=\"margin-left: 0.25em\">562<\/span> has 5 hundreds<\/li>\n<li>13<span style=\"margin-left: 0.25em\">612<\/span> has 6 hundreds<\/li>\n<\/ul>\n<\/li>\n<li>13<span style=\"margin-left: 0.25em\">612<\/span> is larger than 13<span style=\"margin-left: 0.25em\">562<\/span>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"textbox textbox--examples\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Example C: Compare 673<span style=\"margin-left: 0.25em\">234<\/span> and 673<span style=\"margin-left: 0.25em\">423<\/span><\/p>\n<\/header>\n<div class=\"textbox__content\">\n<ul>\n<li>hundred thousands are the same<\/li>\n<li>ten thousands are the same<\/li>\n<li>thousands are the same<\/li>\n<li>hundreds\n<ul>\n<li>673<span style=\"margin-left: 0.25em\">234<\/span> has 2 hundreds<\/li>\n<li>673<span style=\"margin-left: 0.25em\">423<\/span> has 4 hundreds<\/li>\n<\/ul>\n<\/li>\n<li>673<span style=\"margin-left: 0.25em\">423<\/span> is larger than 673<span style=\"margin-left: 0.25em\">234<\/span>.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<p>Note: Numerals with one digit are always less than numerals with two digits. Numerals with two digits are always less than numerals with three digits, and so on.<\/p>\n<ul>\n<li>9 is less than 15<\/li>\n<li>87 is less than 107<\/li>\n<li>999 is less than 1 001<\/li>\n<\/ul>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Two<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Draw a box around the larger numeral in each pair. Check your work using the answer key at the end of the exercise.<\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>1016; <span style=\"border: 1px solid;border-radius: 30px;padding: 2px 2px 2px 2px\">1316<\/span><\/li>\n<li>1<span style=\"margin-left: 0.25em\">229; 1<span style=\"margin-left: 0.25em\">329<\/span><\/span><\/li>\n<li>5<span style=\"margin-left: 0.25em\">230<\/span>; 5<span style=\"margin-left: 0.25em\">210<\/span><\/li>\n<li>2<span style=\"margin-left: 0.25em\">151<\/span>; 2<span style=\"margin-left: 0.25em\">159<\/span><\/li>\n<li>83<span style=\"margin-left: 0.25em\">476<\/span>; 93<span style=\"margin-left: 0.25em\">475<\/span><\/li>\n<li>31<span style=\"margin-left: 0.25em\">276<\/span>;\u00a031<span style=\"margin-left: 0.25em\">576<\/span><\/li>\n<li>46<span style=\"margin-left: 0.25em\">821<\/span>; 46<span style=\"margin-left: 0.25em\">801<\/span><\/li>\n<li>343; 3<span style=\"margin-left: 0.25em\">740<\/span><\/li>\n<li>8<span style=\"margin-left: 0.25em\">325<\/span>; 8<span style=\"margin-left: 0.25em\">236<\/span><\/li>\n<\/ol>\n<p><strong>Answers to Exercise Two<\/strong><\/p>\n<ol class=\"twocolumn\" start=\"2\" type=\"a\">\n<li>1<span style=\"margin-left: 0.25em\">329<\/span><\/li>\n<li>5<span style=\"margin-left: 0.25em\">230<\/span><\/li>\n<li>2<span style=\"margin-left: 0.25em\">159<\/span><\/li>\n<li>93<span style=\"margin-left: 0.25em\">476<\/span><\/li>\n<li>31<span style=\"margin-left: 0.25em\">576<\/span><\/li>\n<li>46<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n<li>3<span style=\"margin-left: 0.25em\">740<\/span><\/li>\n<li>8<span style=\"margin-left: 0.25em\">325<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<p>Now use the same ideas to arrange more than two numerals in order.<\/p>\n<p>For example, to arrange 6, 616, 1, 66, 666, 61, and 16 in order from smallest to largest, use the following method:<\/p>\n<ol>\n<li>First, sort the numerals with the same number of digits into groups.\n<ul>\n<li>6, 1<\/li>\n<li>66, 16, 61<\/li>\n<li>and 616, 666<\/li>\n<\/ul>\n<\/li>\n<li>The group of one digit numerals contains 6 and 1. As 1 is smaller than 6, the list starts with 1, then 6.<\/li>\n<li>The group of two-digit numerals contains 66, 61, and 16. Use your skills in ordering numerals to see that 16 is smallest, then 61, and 66 is the largest of this group. The list now reads, 1, 6, 16, 61, 66.<\/li>\n<li>Finally, look at the three-digit numerals, 616 and 666. As 616 is smaller than 666, it will come first. The list now reads:\n<ul>\n<li>1, 6, 16, 61, 66, 616, 666.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Three<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Arrange these numbers in order from smallest to largest. Check your work using the answer key at the end of the exercise.<\/p>\n<ol type=\"a\">\n<li>1<span style=\"margin-left: 0.25em\">235<\/span>; 1<span style=\"margin-left: 0.25em\">352<\/span>; 1<span style=\"margin-left: 0.25em\">523<\/span>; 1<span style=\"margin-left: 0.25em\">253<\/span><\/li>\n<li>47<span style=\"margin-left: 0.25em\">259<\/span>; 42<span style=\"margin-left: 0.25em\">759<\/span>; 45<span style=\"margin-left: 0.25em\">279<\/span>; 47<span style=\"margin-left: 0.25em\">592<\/span><\/li>\n<li>73<span style=\"margin-left: 0.25em\">050<\/span>; 76<span style=\"margin-left: 0.25em\">940<\/span>; 79<span style=\"margin-left: 0.25em\">053<\/span>; 73<span style=\"margin-left: 0.25em\">502<\/span><\/li>\n<li>456 719; 465 981; 546 423; 564 082<\/li>\n<li>12<span style=\"margin-left: 0.25em\">546<\/span>; 5<span style=\"margin-left: 0.25em\">781<\/span>; 423; 172<span style=\"margin-left: 0.25em\">901<\/span><\/li>\n<li>114<span style=\"margin-left: 0.25em\">444<\/span>; 444; 14; 1<span style=\"margin-left: 0.25em\">114<\/span><span style=\"margin-left: 0.25em\">444; 44<\/span><\/li>\n<li>777; 17; 71; 7<span style=\"margin-left: 0.25em\">177<\/span>; 717; 77<span style=\"margin-left: 0.25em\">177<\/span><\/li>\n<\/ol>\n<p><strong>Answers to Exercise Three<\/strong><\/p>\n<ol type=\"a\">\n<li>1<span style=\"margin-left: 0.25em\">235<\/span>, 1<span style=\"margin-left: 0.25em\">253<\/span>, 1<span style=\"margin-left: 0.25em\">352<\/span>, 1<span style=\"margin-left: 0.25em\">523<\/span><\/li>\n<li>42<span style=\"margin-left: 0.25em\">759<\/span>, 45<span style=\"margin-left: 0.25em\">279<\/span>, 47<span style=\"margin-left: 0.25em\">259<\/span>, 47<span style=\"margin-left: 0.25em\">592<\/span><\/li>\n<li>73<span style=\"margin-left: 0.25em\">050<\/span>, 73, 502, 76<span style=\"margin-left: 0.25em\">940<\/span>, 79<span style=\"margin-left: 0.25em\">053<\/span><\/li>\n<li>456<span style=\"margin-left: 0.25em\">719<\/span>, 465<span style=\"margin-left: 0.25em\">981<\/span>, 546<span style=\"margin-left: 0.25em\">423<\/span>, 564<span style=\"margin-left: 0.25em\">082<\/span><\/li>\n<li>423, 5<span style=\"margin-left: 0.25em\">781<\/span>, 12<span style=\"margin-left: 0.25em\">546<\/span>, 172<span style=\"margin-left: 0.25em\">901<\/span><\/li>\n<li>14, 44, 444, 114<span style=\"margin-left: 0.25em\">444<\/span>, 1<span style=\"margin-left: 0.25em\">114<\/span><span style=\"margin-left: 0.25em\">444<\/span><\/li>\n<li>17, 71, 717, 777, 7<span style=\"margin-left: 0.25em\">177<\/span>, 77<span style=\"margin-left: 0.25em\">177<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Greater Than, Less Than, Equal<\/h1>\n<p>The sign &lt; means is less than (smaller than).<\/p>\n<p>The sign &gt; means is greater than (bigger than).<\/p>\n<p>The greater than and less than signs always point to the smaller number (that is, the small part of the sign is close to the small number.)<\/p>\n<p>5\u00a0 &lt; 12\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 is less than 12<\/p>\n<p>6\u00a0 &gt; 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 6 is greater than 3<\/p>\n<p>The sign = means equals and is used when two amounts are the same.<\/p>\n<p>The sign\u00a0\u2260 means not equal to and is used when two amounts are not the same.<\/p>\n<div class=\"textbox textbox--exercises\">\n<header class=\"textbox__header\">\n<p class=\"textbox__title\">Exercise Three<\/p>\n<\/header>\n<div class=\"textbox__content\">\n<p>Write &lt;, &gt;, or = in each blank as needed. Check your work using the answer key at the end of the exercise.<\/p>\n<ol type=\"a\">\n<li>4<span style=\"margin-left: 0.25em\">376<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 12<span style=\"margin-left: 0.25em\">376<\/span><\/li>\n<li>342<span style=\"margin-left: 0.25em\">981<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 324<span style=\"margin-left: 0.25em\">762<\/span><\/li>\n<li>1<span style=\"margin-left: 0.25em\">520<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 1<span style=\"margin-left: 0.25em\">530<\/span><\/li>\n<li>5<span style=\"margin-left: 0.25em\">821<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 5<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n<li>3<span style=\"margin-left: 0.25em\">674<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">296<\/span><\/li>\n<li>6<span style=\"margin-left: 0.25em\">214<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 6<span style=\"margin-left: 0.25em\">251<\/span><\/li>\n<\/ol>\n<p><strong>Answers to Exercise Three<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>&lt;<\/li>\n<li>&gt;<\/li>\n<li>&lt;<\/li>\n<li>=<\/li>\n<li>&gt;<\/li>\n<li>&lt;<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Topic C: Self-Test<\/h1>\n<p><strong>Mark \/12\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Aim 10\/12<\/strong><\/p>\n<ol type=\"A\">\n<li>Box the larger number of each pair. (6 marks)\n<ol type=\"a\">\n<li>9<span style=\"margin-left: 0.25em\">784<\/span>; 7<span style=\"margin-left: 0.25em\">892<\/span><\/li>\n<li>56<span style=\"margin-left: 0.25em\">663<\/span>; 56<span style=\"margin-left: 0.25em\">566<\/span><\/li>\n<li>13<span style=\"margin-left: 0.25em\">204<\/span>; 14<span style=\"margin-left: 0.25em\">420<\/span><\/li>\n<li>721<span style=\"margin-left: 0.25em\">011<\/span>; 721<span style=\"margin-left: 0.25em\">101<\/span><\/li>\n<li>461<span style=\"margin-left: 0.25em\">300<\/span>; 416<span style=\"margin-left: 0.25em\">003<\/span><\/li>\n<li>2<span style=\"margin-left: 0.25em\">879<\/span><span style=\"margin-left: 0.25em\">921<\/span>; 2<span style=\"margin-left: 0.25em\">987<\/span><span style=\"margin-left: 0.25em\">721<\/span><\/li>\n<\/ol>\n<\/li>\n<li>Arrange these numerals in order from smallest to largest. (2 marks)\n<ol type=\"a\">\n<li>75; 754; 475; 47; 5<span style=\"margin-left: 0.25em\">747<\/span>; 5<span style=\"margin-left: 0.25em\">774<\/span>; 77<span style=\"margin-left: 0.25em\">575<\/span><\/li>\n<li>18; 23<span style=\"margin-left: 0.25em\">070<\/span>; 429; 7<span style=\"margin-left: 0.25em\">824<\/span>; 37; 994; 1<span style=\"margin-left: 0.25em\">120<\/span><\/li>\n<\/ol>\n<\/li>\n<li>Write &gt;, &lt;. or = in each blank to make a true statement. (4 marks)\n<ol type=\"a\">\n<li>3<span style=\"margin-left: 0.25em\">678<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">768<\/span><\/li>\n<li>14<span style=\"margin-left: 0.25em\">002<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 14<span style=\"margin-left: 0.25em\">000<\/span><\/li>\n<li>38<span style=\"margin-left: 0.25em\">463<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 3<span style=\"margin-left: 0.25em\">846<\/span><\/li>\n<li>10<span style=\"margin-left: 0.25em\">010<\/span> <span style=\"text-decoration: underline\" aria-label=\"blank\">\u00a0 \u00a0 \u00a0 \u00a0<\/span> 10<span style=\"margin-left: 0.25em\">010<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic C: Self-Test<\/h2>\n<ol type=\"A\">\n<li>\n<ol class=\"twocolumn\" type=\"a\">\n<li>9<span style=\"margin-left: 0.25em\">784<\/span><\/li>\n<li>56<span style=\"margin-left: 0.25em\">663<\/span><\/li>\n<li>14<span style=\"margin-left: 0.25em\">420<\/span><\/li>\n<li>721<span style=\"margin-left: 0.25em\">101<\/span><\/li>\n<li>461<span style=\"margin-left: 0.25em\">300<\/span><\/li>\n<li>2<span style=\"margin-left: 0.25em\">987<\/span><span style=\"margin-left: 0.25em\">721<\/span><\/li>\n<\/ol>\n<\/li>\n<li>\n<ol type=\"a\">\n<li>47, 75, 475, 754, 5<span style=\"margin-left: 0.25em\">747<\/span>, 5<span style=\"margin-left: 0.25em\">774<\/span>, 77<span style=\"margin-left: 0.25em\">575<\/span><\/li>\n<li>18, 37, 429, 994, 1<span style=\"margin-left: 0.25em\">120<\/span>, 7<span style=\"margin-left: 0.25em\">824<\/span>, 23<span style=\"margin-left: 0.25em\">070<\/span><\/li>\n<\/ol>\n<\/li>\n<li>\n<ol class=\"twocolumn\" type=\"a\">\n<li>&lt;<\/li>\n<li>&gt;<\/li>\n<li>&gt;<\/li>\n<li>=<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-41","chapter","type-chapter","status-publish","hentry"],"part":24,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/41","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/users\/999"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/41\/revisions"}],"predecessor-version":[{"id":42,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/41\/revisions\/42"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/parts\/24"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/41\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/media?parent=41"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapter-type?post=41"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/contributor?post=41"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/license?post=41"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}