{"id":45,"date":"2022-04-11T14:18:45","date_gmt":"2022-04-11T14:18:45","guid":{"rendered":"http:\/\/3rdclass.deltapublications.in\/?page_id=45"},"modified":"2025-08-13T10:09:17","modified_gmt":"2025-08-13T10:09:17","slug":"b-8-convert-between-standard-and-expanded-form","status":"publish","type":"page","link":"https:\/\/3rdclass.deltapublications.in\/index.php\/b-8-convert-between-standard-and-expanded-form\/","title":{"rendered":"B.8 Convert between standard and expanded form"},"content":{"rendered":"\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Convert between standard and expanded form<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/B.8-Convert-between-standard-and-expanded-form_.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-28d136ae4331e7eb05ec8e1cb71ebcde\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf88 <strong>Understanding Standard Form:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> Standard form is the usual way of writing numbers using digits.<\/li>\n\n\n\n<li><strong>Example:<\/strong> The number 273 is in standard form.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf86 <strong>Understanding Expanded Form:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Definition:<\/strong> Expanded form breaks down a number into the sum of each digit multiplied by its place value.<\/li>\n\n\n\n<li><strong>Example:<\/strong> The number 273 in expanded form is 200 + 70 + 3.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf87<strong>Converting from Standard Form to Expanded Form:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Identify Place Values:<\/strong> Determine the place value of each digit in the number.<\/p>\n\n\n\n<p><strong>Example:<\/strong> For 473:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 is in the hundreds place (400)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7 is in the tens place (70)<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 is in the ones place (3)<\/li>\n<\/ul>\n\n\n\n<p><strong>Write Each Value Separately:<\/strong><\/p>\n\n\n\n<p>Break the number into its place value components.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example:<\/strong> 473 = 400 + 70 + 3<\/li>\n<\/ul>\n\n\n\n<p><strong>Combine the Values:<\/strong><\/p>\n\n\n\n<p>Add the values together to express the number in expanded form.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example:<\/strong> 400 + 70 + 3 = 473 in standard form.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83e\udde8<strong>Converting from Expanded Form to Standard Form:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Add the Place Values Together:<\/strong><\/p>\n\n\n\n<p>Combine the place value components to form the number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example:<\/strong> For 500 + 20 + 8:<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>500 (hundreds)<\/li>\n\n\n\n<li>20 (tens)<\/li>\n\n\n\n<li>8 (ones)<\/li>\n<\/ul>\n\n\n\n<p><strong>Write the Combined Value:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add the place values together.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Example:<\/strong> 500 + 20 + 8 = 528<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf89 <strong>Examples for Practice:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Standard Form to Expanded Form:<\/strong><\/p>\n\n\n\n<p>Convert 245 to expanded form:<\/p>\n\n\n\n<p class=\"has-text-align-center\">245 = 200 + 40 + 5<\/p>\n\n\n\n<p>Convert 379 to expanded form:<\/p>\n\n\n\n<p class=\"has-text-align-center\">379 = 300 + 70 + 9<\/p>\n\n\n\n<p><strong>Expanded Form to Standard Form:<\/strong><\/p>\n\n\n\n<p>Convert 600 + 50 + 7 to standard form:<\/p>\n\n\n\n<p class=\"has-text-align-center\">600 + 50 + 7 = 657<\/p>\n\n\n\n<p>Convert 400 + 30 + 2 to standard form:<\/p>\n\n\n\n<p class=\"has-text-align-center\">400 + 30 + 2 = 432<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf89 <strong>Key Steps for Conversion:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>From Standard to Expanded:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Identify the place value of each digit.<\/li>\n\n\n\n<li>Write each digit as a multiple of its place value.<\/li>\n\n\n\n<li>Combine these values to form the expanded form.<\/li>\n<\/ul>\n\n\n\n<p><strong>From Expanded to Standard:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add up all the place value components.<\/li>\n\n\n\n<li>Write the final sum as a single number in standard form.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83c\udf83 <strong>Tips for Students:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Place Value Chart:<\/strong> Use a place value chart to visualize and organize digits.<\/li>\n\n\n\n<li><strong>Break Down the Number:<\/strong> Focus on each digit\u2019s place value when converting.<\/li>\n\n\n\n<li><strong>Practice Regularly:<\/strong> Work on practice problems to become more comfortable with both forms.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#e4edad\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-187d92c2235db2ce8dbbeab4b47cea1b\" style=\"color:#b00012\">\ud83d\udd14 What is&nbsp;<strong>700 + 40 + 3<\/strong>&nbsp;in standard form?<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>700 is 7 hundreds.<br>40 is 4 tens.<br>3 is 3 ones.<\/li>\n\n\n\n<li>Use a place value chart:<\/li>\n<\/ul>\n\n\n\n<figure id=\"yui_3_18_1_1_1683365985416_311\" class=\"wp-block-table\"><table><tbody><tr><td><strong><br>hundreds<\/strong><\/td><td><strong>tens<\/strong><\/td><td><strong>ones<\/strong><\/td><\/tr><tr><td><strong>7<\/strong><\/td><td><strong>4<\/strong><\/td><td><strong>3<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number is 743.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#e5d2f6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-801f74b547e5cc6dff87a33453a94bac\" style=\"color:#b00012\">\ud83d\udd14 What is&nbsp;<strong>700 + 80 + 8<\/strong>&nbsp;in standard form?<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>700 is 7 hundreds.<br>80 is 8 tens.<br>8 is 8 ones.<\/li>\n\n\n\n<li>Use a place value chart:<\/li>\n<\/ul>\n\n\n\n<figure id=\"yui_3_18_1_1_1683366091549_311\" class=\"wp-block-table\"><table><tbody><tr><td><strong><br>hundreds<\/strong><\/td><td><strong>tens<\/strong><\/td><td><strong>ones<\/strong><\/td><\/tr><tr><td><strong>7<\/strong><\/td><td><strong>8<\/strong><\/td><td><strong>8<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number is 788.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d9ecf7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-09717c1fa38b228b63e5a84a3a06943f\" style=\"color:#b00012\">\ud83d\udd14 What is&nbsp;<strong>800 + 70 + 9<\/strong>&nbsp;in standard form?<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>800 is 8 hundreds.<br>70 is 7 tens.<br>9 is 9 ones.<\/li>\n\n\n\n<li>Use a place value chart:<\/li>\n<\/ul>\n\n\n\n<figure id=\"yui_3_18_1_1_1683366291588_313\" class=\"wp-block-table\"><table><tbody><tr><td><strong><br>hundreds<\/strong><\/td><td><strong>tens<\/strong><\/td><td><strong>ones<\/strong><\/td><\/tr><tr><td><strong>8<\/strong><\/td><td><strong>7<\/strong><\/td><td><strong>9<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number is 879.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76096\/280\/151\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-109.png\" alt=\"\" class=\"wp-image-8431\" srcset=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-109.png 500w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-109-300x300.png 300w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-109-150x150.png 150w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-109-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/30114\/879\/652\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-108.png\" alt=\"\" class=\"wp-image-8432\" srcset=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-108.png 500w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-108-300x300.png 300w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-108-150x150.png 150w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-108-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Convert between standard and expanded form key notes : \ud83c\udf88 Understanding Standard Form: \ud83c\udf86 Understanding Expanded Form: \ud83c\udf87Converting from Standard Form to Expanded Form: Identify Place Values: Determine the place value of each digit in the number. Example: For 473: Write Each Value Separately: Break the number into its place value components. Combine the Values:<a class=\"more-link\" href=\"https:\/\/3rdclass.deltapublications.in\/index.php\/b-8-convert-between-standard-and-expanded-form\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.8 Convert between standard and expanded form&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-45","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/45","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=45"}],"version-history":[{"count":20,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/45\/revisions"}],"predecessor-version":[{"id":19221,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/45\/revisions\/19221"}],"wp:attachment":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=45"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}