{"id":39,"date":"2022-08-16T19:44:05","date_gmt":"2022-08-16T23:44:05","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/expanded-form\/"},"modified":"2025-01-22T13:12:12","modified_gmt":"2025-01-22T18:12:12","slug":"expanded-form","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/math022\/chapter\/expanded-form\/","title":{"raw":"Topic B: Expanded Form","rendered":"Topic B: Expanded Form"},"content":{"raw":"When we write a number in expanded form, each digit is written with its place value.\n\nExample:\n<table style=\"width: 100%\" border=\"0\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">598 is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>5<\/td>\n<td>9<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td colspan=\"3\"><\/td>\n<td>500<\/td>\n<td>90<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">500 + 90 + 8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nExample:\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">1<span style=\"margin-left: 0.25em\">068 is made of<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>1<\/td>\n<td>0<\/td>\n<td>6<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>1<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td><\/td>\n<td>60<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">1<span style=\"margin-left: 0.25em\">000<\/span> + 60 + 8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nExample:\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">243<span style=\"margin-left: 0.25em\">690<\/span> is made of<\/td>\n<td><\/td>\n<td>2<\/td>\n<td>4<\/td>\n<td>3<\/td>\n<td>6<\/td>\n<td>9<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td>200<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>40<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>3<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>600<\/td>\n<td>90<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">200<span style=\"margin-left: 0.25em\">000<\/span> + 40<span style=\"margin-left: 0.25em\">000<\/span> + 3<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 90<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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<ol type=\"a\">\n \t<li>329\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">329 is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>3<\/td>\n<td>2<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>300<\/td>\n<td>20<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">300 + 20 + 9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>762\n<table style=\"border-collapse: collapse;width: 100%\" border=\"0\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">847\n<\/span><\/span>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>6<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">301\n<\/span><\/span>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"0\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>16<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">492\n<\/span><\/span>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"0\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n \t<li>74<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">296\n<\/span><\/span>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"0\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<strong>Answers to Exercise One<\/strong>\n<ol type=\"a\">\n \t<li>300 +\u00a0 20\u00a0 + 9<\/li>\n \t<li>700 +\u00a0 60\u00a0 + 2<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 40 + 7<\/li>\n \t<li>6<span style=\"margin-left: 0.25em\">000<\/span> + 300 + 1<\/li>\n \t<li>10<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 6<span style=\"margin-left: 0.25em\">000<\/span>\u00a0 +\u00a0 400\u00a0 +\u00a0 90\u00a0 + 2<\/li>\n \t<li>70<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 4<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 200\u00a0 +\u00a0 90\u00a0 + 6<\/li>\n<\/ol>\n<\/div>\n<\/div>\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\nWrite each number from expanded form. Check your work using the answer key at the end of the exercise.\n\n<strong>Example: <\/strong>600 + 30 + 7 = <strong>637<\/strong>\n\n<strong>Example: <\/strong>7<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 40 + 1 = <strong>7<span style=\"margin-left: 0.25em\">541<\/span><\/strong>\n\n<strong>Example: <\/strong>4<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span> + 600<span style=\"margin-left: 0.25em\">000<\/span> + 70<span style=\"margin-left: 0.25em\">000<\/span> + 8<span style=\"margin-left: 0.25em\">000<\/span> + 900 + 3 = <strong>4<span style=\"margin-left: 0.25em\">678<\/span><span style=\"margin-left: 0.25em\">903<\/span><\/strong><\/span>\n<ol type=\"a\">\n \t<li>400 +\u00a0 10\u00a0 +\u00a0 6 =<\/li>\n \t<li>500 +\u00a0 40\u00a0 +\u00a0 2 =<\/li>\n \t<li>5<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 600\u00a0 +\u00a0 10\u00a0 +\u00a0 8 =<\/li>\n \t<li>4<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 100\u00a0 +\u00a0 40\u00a0 +\u00a0 5 =<\/li>\n \t<li>20<span style=\"margin-left: 0.25em\">000<\/span> + 1<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 10 + 2 =<\/li>\n \t<li>40<span style=\"margin-left: 0.25em\">000<\/span> + 200 + 5 =<\/li>\n \t<li>30<span style=\"margin-left: 0.25em\">000<\/span> + 4<span style=\"margin-left: 0.25em\">000<\/span> + 50 + 3 =<\/li>\n \t<li>200<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 50<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 3<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 400\u00a0 +\u00a0 80\u00a0 +\u00a0 3 =<\/li>\n \t<li>300<span style=\"margin-left: 0.25em\">000<\/span> + 50<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 6<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 700\u00a0 +\u00a0 10\u00a0 +\u00a0 9 =<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">000<\/span><span style=\"margin-left: 0.25em\">000<\/span> + 400<span style=\"margin-left: 0.25em\">000<\/span> + 20<span style=\"margin-left: 0.25em\">000<\/span> + 3<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 50 + 7 =<\/li>\n<\/ol>\n<strong>Answers to Exercise Two<\/strong>\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>416<\/li>\n \t<li>542<\/li>\n \t<li>5<span style=\"margin-left: 0.25em\">618<\/span><\/li>\n \t<li>4<span style=\"margin-left: 0.25em\">145<\/span><\/li>\n \t<li>21<span style=\"margin-left: 0.25em\">812<\/span><\/li>\n \t<li>40<span style=\"margin-left: 0.25em\">205<\/span><\/li>\n \t<li>34<span style=\"margin-left: 0.25em\">053<\/span><\/li>\n \t<li>253<span style=\"margin-left: 0.25em\">483<\/span><\/li>\n \t<li>356<span style=\"margin-left: 0.25em\">719<\/span><\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">423<\/span><span style=\"margin-left: 0.25em\">657<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Topic B: Self-Test<\/h1>\n<strong>Mark \/ 12\u00a0\u00a0\u00a0 Aim\u00a0\u00a0 10\/12<\/strong>\n<ol type=\"A\">\n \t<li>Write each number in expanded form. (6 marks.)\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>643<\/li>\n \t<li>759<\/li>\n \t<li>4<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n \t<li>94<span style=\"margin-left: 0.25em\">205<\/span><\/li>\n \t<li>367<span style=\"margin-left: 0.25em\">542<\/span><\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">850<\/span><span style=\"margin-left: 0.25em\">643<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>Write each number from its expanded form. (6 marks.)\n<ol type=\"a\">\n \t<li>300 + 60 + 9 =<\/li>\n \t<li>700 + 5 =<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">000<\/span> + 400 + 90 + 1 =<\/li>\n \t<li>20<span style=\"margin-left: 0.25em\">000<\/span> + 1<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 80 + 4 =<\/li>\n \t<li>500<span style=\"margin-left: 0.25em\">000<\/span> + 40<span style=\"margin-left: 0.25em\">000<\/span> + 2<span style=\"margin-left: 0.25em\">000<\/span> + 700 + 30 + 9 =<\/li>\n \t<li>3<span style=\"margin-left: 0.25em\">000<\/span><span style=\"margin-left: 0.25em\">000<\/span> + 900<span style=\"margin-left: 0.25em\">000<\/span> + 60<span style=\"margin-left: 0.25em\">000<\/span> + 8<span style=\"margin-left: 0.25em\">000<\/span> + 400 + 30 + 1 =<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic B Self-Test<\/h2>\n<ol type=\"A\">\n \t<li>\n<ol type=\"a\">\n \t<li>600 + 40 + 3<\/li>\n \t<li>700 + 50 + 9<\/li>\n \t<li>4<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 20 + 1<\/li>\n \t<li>90<span style=\"margin-left: 0.25em\">000<\/span> + 4<span style=\"margin-left: 0.25em\">000<\/span> + 200 + 5<\/li>\n \t<li>300<span style=\"margin-left: 0.25em\">000<\/span> + 60<span style=\"margin-left: 0.25em\">000<\/span> + 7<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 40 + 2<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span> + 800<span style=\"margin-left: 0.25em\">000<\/span> + 50<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 40 + 3<\/span><\/li>\n<\/ol>\n<\/li>\n \t<li>\n<ol class=\"twocolumn\" type=\"a\">\n \t<li>369<\/li>\n \t<li>705<\/li>\n \t<li>1<span style=\"margin-left: 0.25em\">491<\/span><\/li>\n \t<li>21<span style=\"margin-left: 0.25em\">584<\/span><\/li>\n \t<li>542<span style=\"margin-left: 0.25em\">739<\/span><\/li>\n \t<li>3<span style=\"margin-left: 0.25em\">968<\/span><span style=\"margin-left: 0.25em\">431<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>","rendered":"<p>When we write a number in expanded form, each digit is written with its place value.<\/p>\n<p>Example:<\/p>\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">598 is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>5<\/td>\n<td>9<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td colspan=\"3\"><\/td>\n<td>500<\/td>\n<td>90<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">500 + 90 + 8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Example:<\/p>\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">1<span style=\"margin-left: 0.25em\">068 is made of<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>1<\/td>\n<td>0<\/td>\n<td>6<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>1<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td><\/td>\n<td>60<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">1<span style=\"margin-left: 0.25em\">000<\/span> + 60 + 8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Example:<\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">243<span style=\"margin-left: 0.25em\">690<\/span> is made of<\/td>\n<td><\/td>\n<td>2<\/td>\n<td>4<\/td>\n<td>3<\/td>\n<td>6<\/td>\n<td>9<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td>200<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>40<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>3<span style=\"margin-left: 0.25em\">000<\/span><\/td>\n<td>600<\/td>\n<td>90<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">200<span style=\"margin-left: 0.25em\">000<\/span> + 40<span style=\"margin-left: 0.25em\">000<\/span> + 3<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 90<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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<ol type=\"a\">\n<li>329<br \/>\n<table style=\"width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">329 is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>3<\/td>\n<td>2<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td>300<\/td>\n<td>20<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\">300 + 20 + 9<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>762<br \/>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>1<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">847<br \/>\n<\/span><\/span><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>6<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">301<br \/>\n<\/span><\/span><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>16<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">492<br \/>\n<\/span><\/span><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>74<span style=\"margin-left: 0.25em\"><span style=\"margin-left: 0.25em\">296<br \/>\n<\/span><\/span><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<th style=\"width: 12.5%\" scope=\"col\"><\/th>\n<th style=\"width: 12.5%\" scope=\"col\">millions<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundred thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ten thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">thousands<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">hundreds<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">tens<\/th>\n<th style=\"width: 12.5%\" scope=\"col\">ones<\/th>\n<\/tr>\n<tr>\n<td scope=\"row\">is made of<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Each is written<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td scope=\"row\">Expanded form<\/td>\n<td colspan=\"7\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<\/ol>\n<p><strong>Answers to Exercise One<\/strong><\/p>\n<ol type=\"a\">\n<li>300 +\u00a0 20\u00a0 + 9<\/li>\n<li>700 +\u00a0 60\u00a0 + 2<\/li>\n<li>1<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 40 + 7<\/li>\n<li>6<span style=\"margin-left: 0.25em\">000<\/span> + 300 + 1<\/li>\n<li>10<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 6<span style=\"margin-left: 0.25em\">000<\/span>\u00a0 +\u00a0 400\u00a0 +\u00a0 90\u00a0 + 2<\/li>\n<li>70<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 4<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 200\u00a0 +\u00a0 90\u00a0 + 6<\/li>\n<\/ol>\n<\/div>\n<\/div>\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>Write each number from expanded form. Check your work using the answer key at the end of the exercise.<\/p>\n<p><strong>Example: <\/strong>600 + 30 + 7 = <strong>637<\/strong><\/p>\n<p><strong>Example: <\/strong>7<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 40 + 1 = <strong>7<span style=\"margin-left: 0.25em\">541<\/span><\/strong><\/p>\n<p><strong>Example: <\/strong>4<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span> + 600<span style=\"margin-left: 0.25em\">000<\/span> + 70<span style=\"margin-left: 0.25em\">000<\/span> + 8<span style=\"margin-left: 0.25em\">000<\/span> + 900 + 3 = <strong>4<span style=\"margin-left: 0.25em\">678<\/span><span style=\"margin-left: 0.25em\">903<\/span><\/strong><\/span><\/p>\n<ol type=\"a\">\n<li>400 +\u00a0 10\u00a0 +\u00a0 6 =<\/li>\n<li>500 +\u00a0 40\u00a0 +\u00a0 2 =<\/li>\n<li>5<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 600\u00a0 +\u00a0 10\u00a0 +\u00a0 8 =<\/li>\n<li>4<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 100\u00a0 +\u00a0 40\u00a0 +\u00a0 5 =<\/li>\n<li>20<span style=\"margin-left: 0.25em\">000<\/span> + 1<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 10 + 2 =<\/li>\n<li>40<span style=\"margin-left: 0.25em\">000<\/span> + 200 + 5 =<\/li>\n<li>30<span style=\"margin-left: 0.25em\">000<\/span> + 4<span style=\"margin-left: 0.25em\">000<\/span> + 50 + 3 =<\/li>\n<li>200<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 50<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 3<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 400\u00a0 +\u00a0 80\u00a0 +\u00a0 3 =<\/li>\n<li>300<span style=\"margin-left: 0.25em\">000<\/span> + 50<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 6<span style=\"margin-left: 0.25em\">000<\/span> +\u00a0 700\u00a0 +\u00a0 10\u00a0 +\u00a0 9 =<\/li>\n<li>1<span style=\"margin-left: 0.25em\">000<\/span><span style=\"margin-left: 0.25em\">000<\/span> + 400<span style=\"margin-left: 0.25em\">000<\/span> + 20<span style=\"margin-left: 0.25em\">000<\/span> + 3<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 50 + 7 =<\/li>\n<\/ol>\n<p><strong>Answers to Exercise Two<\/strong><\/p>\n<ol class=\"twocolumn\" type=\"a\">\n<li>416<\/li>\n<li>542<\/li>\n<li>5<span style=\"margin-left: 0.25em\">618<\/span><\/li>\n<li>4<span style=\"margin-left: 0.25em\">145<\/span><\/li>\n<li>21<span style=\"margin-left: 0.25em\">812<\/span><\/li>\n<li>40<span style=\"margin-left: 0.25em\">205<\/span><\/li>\n<li>34<span style=\"margin-left: 0.25em\">053<\/span><\/li>\n<li>253<span style=\"margin-left: 0.25em\">483<\/span><\/li>\n<li>356<span style=\"margin-left: 0.25em\">719<\/span><\/li>\n<li>1<span style=\"margin-left: 0.25em\">423<\/span><span style=\"margin-left: 0.25em\">657<\/span><\/li>\n<\/ol>\n<\/div>\n<\/div>\n<h1>Topic B: Self-Test<\/h1>\n<p><strong>Mark \/ 12\u00a0\u00a0\u00a0 Aim\u00a0\u00a0 10\/12<\/strong><\/p>\n<ol type=\"A\">\n<li>Write each number in expanded form. (6 marks.)\n<ol class=\"twocolumn\" type=\"a\">\n<li>643<\/li>\n<li>759<\/li>\n<li>4<span style=\"margin-left: 0.25em\">821<\/span><\/li>\n<li>94<span style=\"margin-left: 0.25em\">205<\/span><\/li>\n<li>367<span style=\"margin-left: 0.25em\">542<\/span><\/li>\n<li>1<span style=\"margin-left: 0.25em\">850<\/span><span style=\"margin-left: 0.25em\">643<\/span><\/li>\n<\/ol>\n<\/li>\n<li>Write each number from its expanded form. (6 marks.)\n<ol type=\"a\">\n<li>300 + 60 + 9 =<\/li>\n<li>700 + 5 =<\/li>\n<li>1<span style=\"margin-left: 0.25em\">000<\/span> + 400 + 90 + 1 =<\/li>\n<li>20<span style=\"margin-left: 0.25em\">000<\/span> + 1<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 80 + 4 =<\/li>\n<li>500<span style=\"margin-left: 0.25em\">000<\/span> + 40<span style=\"margin-left: 0.25em\">000<\/span> + 2<span style=\"margin-left: 0.25em\">000<\/span> + 700 + 30 + 9 =<\/li>\n<li>3<span style=\"margin-left: 0.25em\">000<\/span><span style=\"margin-left: 0.25em\">000<\/span> + 900<span style=\"margin-left: 0.25em\">000<\/span> + 60<span style=\"margin-left: 0.25em\">000<\/span> + 8<span style=\"margin-left: 0.25em\">000<\/span> + 400 + 30 + 1 =<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h2>Answers to Topic B Self-Test<\/h2>\n<ol type=\"A\">\n<li>\n<ol type=\"a\">\n<li>600 + 40 + 3<\/li>\n<li>700 + 50 + 9<\/li>\n<li>4<span style=\"margin-left: 0.25em\">000<\/span> + 800 + 20 + 1<\/li>\n<li>90<span style=\"margin-left: 0.25em\">000<\/span> + 4<span style=\"margin-left: 0.25em\">000<\/span> + 200 + 5<\/li>\n<li>300<span style=\"margin-left: 0.25em\">000<\/span> + 60<span style=\"margin-left: 0.25em\">000<\/span> + 7<span style=\"margin-left: 0.25em\">000<\/span> + 500 + 40 + 2<\/li>\n<li>1<span style=\"margin-left: 0.25em\">000<span style=\"margin-left: 0.25em\">000<\/span> + 800<span style=\"margin-left: 0.25em\">000<\/span> + 50<span style=\"margin-left: 0.25em\">000<\/span> + 600 + 40 + 3<\/span><\/li>\n<\/ol>\n<\/li>\n<li>\n<ol class=\"twocolumn\" type=\"a\">\n<li>369<\/li>\n<li>705<\/li>\n<li>1<span style=\"margin-left: 0.25em\">491<\/span><\/li>\n<li>21<span style=\"margin-left: 0.25em\">584<\/span><\/li>\n<li>542<span style=\"margin-left: 0.25em\">739<\/span><\/li>\n<li>3<span style=\"margin-left: 0.25em\">968<\/span><span style=\"margin-left: 0.25em\">431<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"author":999,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-39","chapter","type-chapter","status-publish","hentry"],"part":24,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/39","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\/39\/revisions"}],"predecessor-version":[{"id":40,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapters\/39\/revisions\/40"}],"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\/39\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/media?parent=39"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/pressbooks\/v2\/chapter-type?post=39"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/contributor?post=39"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/math022\/wp-json\/wp\/v2\/license?post=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}