{"id":47,"date":"2022-04-12T05:55:13","date_gmt":"2022-04-12T05:55:13","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=47"},"modified":"2025-09-01T06:28:40","modified_gmt":"2025-09-01T06:28:40","slug":"c-3-multiplication-patterns-over-increasing-place-values","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/c-3-multiplication-patterns-over-increasing-place-values\/","title":{"rendered":"C.3 Multiplication patterns over increasing place values"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiplication patterns over increasing place values<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.3-Multiplication-patterns-over-increasing-place-values.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-323ce83774e92623ea358ab43a82cf4e\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39 Key Idea<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>When we multiply a number by <strong>10, 100, 1,000, or higher powers of 10<\/strong>, the digits of the number shift to the <strong>left<\/strong>, and we add <strong>zeros<\/strong> at the end.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>\ud83d\udd39 Key Idea<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Each digit moves <strong>one place to the left<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00d7 10 = 60<\/li>\n\n\n\n<li>47 \u00d7 10 = 470<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83d\udd39 Multiplying by 100<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Each digit moves <strong>two places to the left<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00d7 100 = 600<\/li>\n\n\n\n<li>47 \u00d7 100 = 4,700<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83d\udd39 Multiplying by 1,000<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Each digit moves <strong>three places to the left<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 \u00d7 1,000 = 6,000<\/li>\n\n\n\n<li>47 \u00d7 1,000 = 47,000<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83d\udd39 Place Value Pattern<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every time you multiply by <strong>10<\/strong>, you add <strong>one zero<\/strong> to the number (if it is a whole number).<\/li>\n\n\n\n<li><strong>Patterns Table:<\/strong><\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Number<\/th><th>\u00d710<\/th><th>\u00d7100<\/th><th>\u00d71,000<\/th><\/tr><\/thead><tbody><tr><td>3<\/td><td>30<\/td><td>300<\/td><td>3,000<\/td><\/tr><tr><td>15<\/td><td>150<\/td><td>1,500<\/td><td>15,000<\/td><\/tr><tr><td>247<\/td><td>2,470<\/td><td>24,700<\/td><td>247,000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83d\udd39 Rule<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Multiplying by <strong>10\u207f<\/strong> shifts the digits <strong>n places to the left<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>32 \u00d7 10 = 320 (1 place left)<\/li>\n\n\n\n<li>32 \u00d7 100 = 3,200 (2 places left)<\/li>\n\n\n\n<li>32 \u00d7 1,000 = 32,000 (3 places left)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>\ud83d\udd39 Word Problem Example<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A pencil costs \u20b925. What is the cost of 100 pencils?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>25 \u00d7 100 = 2,500<\/li>\n\n\n\n<li><strong>Answer:<\/strong> \u20b92,500<\/li>\n<\/ul>\n\n\n\n<p>A bus carries 47 passengers. How many passengers can 1,000 buses carry?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>47 \u00d7 1,000 = 47,000<\/li>\n\n\n\n<li><strong>Answer:<\/strong> 47,000 passengers<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#b0e0f8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"499\" height=\"384\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-33.png\" alt=\"\" class=\"wp-image-12622\" style=\"aspect-ratio:1.2994791666666667;width:493px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-33.png 499w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-33-300x231.png 300w\" sizes=\"auto, (max-width: 499px) 100vw, 499px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>ones<\/strong>&nbsp;= 20&nbsp;<strong>ones<\/strong><br>4 \u00d7 5 = 20<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>tens<\/strong>&nbsp;= 20&nbsp;<strong>tens<\/strong><br>4 \u00d7 50 = 200<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>hundreds<\/strong>&nbsp;= 20&nbsp;<strong>hundreds<\/strong><br>4 \u00d7 500 = 2,000<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>thousands<\/strong>&nbsp;= 20&nbsp;<strong>thousands<\/strong><br>4 \u00d7 5,000 = 20,000<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>ten thousands<\/strong>&nbsp;= 20&nbsp;<strong>ten thousands<\/strong><br>4 \u00d7 50,000 = 200,000<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>hundred thousands<\/strong>&nbsp;= 20&nbsp;<strong>hundred thousands<\/strong><br>4 \u00d7 500,000 = 2,000,000<\/p>\n\n\n\n<p>4 \u00d7 5&nbsp;<strong>millions<\/strong>&nbsp;= 20&nbsp;<strong>millions<\/strong><br>4 \u00d7 5,000,000 = 20,000,000<img decoding=\"async\" src=\"\" alt=\"\"><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#f8aeae\"><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\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"382\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-34.png\" alt=\"\" class=\"wp-image-12623\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-34.png 459w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-34-300x250.png 300w\" sizes=\"auto, (max-width: 459px) 100vw, 459px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>6&nbsp;<strong>ones<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>ones<\/strong><br>6 \u00d7 9 = 54<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>6&nbsp;<strong>tens<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>tens<\/strong><br>60 \u00d7 9 = 540<\/p>\n\n\n\n<p>6&nbsp;<strong>hundreds<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>hundreds<\/strong><br>600 \u00d7 9 = 5,400<\/p>\n\n\n\n<p>6&nbsp;<strong>thousands<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>thousands<\/strong><br>6,000 \u00d7 9 = 54,000<\/p>\n\n\n\n<p>6&nbsp;<strong>ten thousands<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>ten thousands<\/strong><br>60,000 \u00d7 9 = 540,000<\/p>\n\n\n\n<p>6&nbsp;<strong>hundred thousands<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>hundred thousands<\/strong><br>600,000 \u00d7 9 = 5,400,000<\/p>\n\n\n\n<p>6&nbsp;<strong>millions<\/strong>&nbsp;\u00d7 9 = 54&nbsp;<strong>millions<\/strong><br>6,000,000 \u00d7 9 = 54,000,000<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#c0f7b2\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"457\" height=\"382\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-35.png\" alt=\"\" class=\"wp-image-12624\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-35.png 457w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-35-300x251.png 300w\" sizes=\"auto, (max-width: 457px) 100vw, 457px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>1&nbsp;<strong>one<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>ones<\/strong><br>1 \u00d7 5 = 5<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>1&nbsp;<strong>ten<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>tens<\/strong><br>10 \u00d7 5 = 50<\/p>\n\n\n\n<p>1&nbsp;<strong>hundred<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>hundreds<\/strong><br>100 \u00d7 5 = 500<\/p>\n\n\n\n<p>1&nbsp;<strong>thousand<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>thousands<\/strong><br>1,000 \u00d7 5 = 5,000<\/p>\n\n\n\n<p>1&nbsp;<strong>ten thousand<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>ten thousands<\/strong><br>10,000 \u00d7 5 = 50,000<\/p>\n\n\n\n<p>1&nbsp;<strong>hundred thousand<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>hundred thousands<\/strong><br>100,000 \u00d7 5 = 500,000<\/p>\n\n\n\n<p>1&nbsp;<strong>million<\/strong>&nbsp;\u00d7 5 = 5&nbsp;<strong>millions<\/strong><br>1,000,000 \u00d7 5 = 5,000,000<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/strong><\/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\/34985\/595\/296\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-102.png\" alt=\"\" class=\"wp-image-5919\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-102.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-102-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-102-150x150.png 150w\" 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\/76333\/733\/928\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-104.png\" alt=\"\" class=\"wp-image-5920\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-104.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-104-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-104-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Multiplication patterns over increasing place values Key notes: \ud83d\udd39 Key Idea When we multiply a number by 10, 100, 1,000, or higher powers of 10, the digits of the number shift to the left, and we add zeros at the end. \ud83d\udd39 Key Idea Each digit moves one place to the left. Example: \ud83d\udd39 Multiplying<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/c-3-multiplication-patterns-over-increasing-place-values\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.3 Multiplication patterns over increasing place values&#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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-47","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/47","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=47"}],"version-history":[{"count":18,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/47\/revisions"}],"predecessor-version":[{"id":15609,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/47\/revisions\/15609"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=47"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}