{"id":78,"date":"2022-04-12T04:43:58","date_gmt":"2022-04-12T04:43:58","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=78"},"modified":"2025-11-06T09:03:42","modified_gmt":"2025-11-06T09:03:42","slug":"d-7-multiplication-patterns-over-increasing-place-values","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/d-7-multiplication-patterns-over-increasing-place-values\/","title":{"rendered":"D.7 Multiplication patterns over increasing place values"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Multiplication patterns over increasing place values<\/strong><\/h2>\n\n\n\n<p class=\"has-text-align-left has-text-color has-link-color has-huge-font-size wp-elements-f3b64618b5b7eddf3c9b9f18fd02404b\" style=\"color:#74008b\">key points :<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83d\udd22 <strong>Place Value Jumps Change the Product<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When one factor increases by <strong>10, 100, or 1,000<\/strong>, the answer also becomes <strong>10, 100, or 1,000 times bigger<\/strong>.<br>\u2705 Example: 3 \u00d7 2 = 6<br>\ud83d\udc49 3 \u00d7 20 = <strong>60<\/strong> (10 times bigger)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83e\udde0 <strong>Add Zeros to Multiply by 10, 100, or 1,000<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Just <strong>add zeros<\/strong> to the end of the number you multiply.<br>\u2728 4 \u00d7 1 = 4<br>\ud83d\udc4d 4 \u00d7 10 = <strong>40<\/strong><br>\ud83d\udc4f 4 \u00d7 100 = <strong>400<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83c\udfaf <strong>Patterns with Tens (\u00d710)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every time you multiply by <strong>10<\/strong>, the product ends with <strong>one zero (0)<\/strong>.<br>\u2705 6 \u00d7 10 = <strong>60<\/strong><br>\u2705 25 \u00d7 10 = <strong>250<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83c\udf1f <strong>Patterns with Hundreds (\u00d7100)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every time you multiply by <strong>100<\/strong>, the product ends with <strong>two zeros (00)<\/strong>.<br>\u2705 7 \u00d7 100 = <strong>700<\/strong><br>\u2705 42 \u00d7 100 = <strong>4200<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83c\udfc6 <strong>Patterns with Thousands (\u00d71,000)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every time you multiply by <strong>1,000<\/strong>, the product ends with <strong>three zeros (000)<\/strong>.<br>\u2705 8 \u00d7 1,000 = <strong>8,000<\/strong><br>\u2705 15 \u00d7 1,000 = <strong>15,000<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\ud83e\udde9 <strong>Compare the Pattern<\/strong><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Multiplication<\/th><th>Pattern Change<\/th><th>Effect<\/th><\/tr><\/thead><tbody><tr><td>\u00d710<\/td><td>Add 1 zero<\/td><td>10 times bigger \ud83d\udd1f<\/td><\/tr><tr><td>\u00d7100<\/td><td>Add 2 zeros<\/td><td>100 times bigger \ud83d\udcaf<\/td><\/tr><tr><td>\u00d71,000<\/td><td>Add 3 zeros<\/td><td>1,000 times bigger \ud83e\uddee<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83c\udfa8 <strong>Number Becomes \u201cLonger\u201d but Digits Stay Same<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>digits stay unchanged<\/strong>, only <strong>zeros are added<\/strong> at the end.<br>\ud83d\udfe3 9 \u00d7 4 = 36<br>\ud83d\udfe3 9 \u00d7 400 = <strong>3,600<\/strong> (same digits <em>36<\/em> + <em>00<\/em>)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">\ud83d\ude80 <strong>Real-Life Connections<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Counting money \ud83d\udcb0<br>\u20b95 \u00d7 10 notes = \u20b950<br>\u20b95 \u00d7 100 notes = \u20b9500<\/li>\n\n\n\n<li>Time and distance \u23f1\ufe0f\ud83d\udee3<br>1 minute \u00d7 100 = 100 minutes<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cbe4f1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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 has-link-color wp-elements-868790b6512635348f7bb0b8f233680b\" style=\"color:#b00012\">Complete the pattern:<\/p>\n\n\n\n<p>8 \u00d7 6 =<br>8 \u00d7 60 =<br>8 \u00d7 600 =<br>8 \u00d7 6,000 =<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>First, multiply:<\/p>\n\n\n\n<p>8 \u00d7 6 ones = 48 ones<br>8 \u00d7 6 = 48<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>8 \u00d7 6 tens = 48 tens<br>8 \u00d7 60 = 480<\/p>\n\n\n\n<p>8 \u00d7 6 hundreds = 48 hundreds<br>8 \u00d7 600 = 4,800<\/p>\n\n\n\n<p>8 \u00d7 6 thousands = 48 thousands<br>8 \u00d7 6,000 = 48,000<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d0fac6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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 has-link-color wp-elements-868790b6512635348f7bb0b8f233680b\" style=\"color:#b00012\">Complete the pattern:<\/p>\n\n\n\n<p>8 \u00d7 ____= 56<br>8 \u00d7 ____= 560<br>8 \u00d7 ____= 5,600<br>8 \u00d7 ____= 56,000<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>8 \u00d7 7&nbsp;<strong>ones<\/strong>&nbsp;= 56&nbsp;<strong>ones<\/strong><br>8 \u00d7 7 = 56<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>8 \u00d7 7&nbsp;<strong>tens<\/strong>&nbsp;= 56&nbsp;<strong>tens<\/strong><br>8 \u00d7 70 = 560<\/p>\n\n\n\n<p>8 \u00d7 7&nbsp;<strong>hundreds<\/strong>&nbsp;= 56&nbsp;<strong>hundreds<\/strong><br>8 \u00d7 700 = 5,600<\/p>\n\n\n\n<p>8 \u00d7 7&nbsp;<strong>thousands<\/strong>&nbsp;= 56&nbsp;<strong>thousands<\/strong><br>8 \u00d7 7,000 = 56,000<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#bbc5f1\"><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-b95adb4842c59b8e36d9ea9ae2ee969d\" style=\"color:#b00012\">\ud83d\udd25Complete the pattern:<\/p>\n\n\n\n<p>6 \u00d7 8 =&nbsp;&#8212;&#8211;<\/p>\n\n\n\n<p>60 \u00d7 8 =&nbsp;&#8212;&#8212;<\/p>\n\n\n\n<p>600 \u00d7 8 =&nbsp;&#8212;&#8212;<\/p>\n\n\n\n<p>6,000 \u00d7 8 =&#8212;&#8212;<\/p>\n<\/div><\/div>\n\n\n\n<p>First, multiply:<\/p>\n\n\n\n<p>6&nbsp;<strong>ones<\/strong>&nbsp;\u00d7 8 = 48&nbsp;<strong>ones<\/strong><br>6 \u00d7 8 = 48<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>6&nbsp;<strong>tens<\/strong>&nbsp;\u00d7 8 = 48&nbsp;<strong>tens<\/strong><br>60 \u00d7 8 = 480<\/p>\n\n\n\n<p>6&nbsp;<strong>hundreds<\/strong>&nbsp;\u00d7 8 = 48&nbsp;<strong>hundreds<\/strong><br>600 \u00d7 8 = 4,800<\/p>\n\n\n\n<p>6&nbsp;<strong>thousands<\/strong>&nbsp;\u00d7 8 = 48&nbsp;<strong>thousands<\/strong><br>6,000 \u00d7 8 = 48,000<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/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\/76844\/459\/729\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-201.png\" alt=\"\" class=\"wp-image-6875\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-201.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-201-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-201-150x150.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\/35445\/614\/490\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-192.png\" alt=\"\" class=\"wp-image-6876\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-192.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-192-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-192-150x150.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 points : \ud83d\udd22 Place Value Jumps Change the Product \ud83e\udde0 Add Zeros to Multiply by 10, 100, or 1,000 \ud83c\udfaf Patterns with Tens (\u00d710) \ud83c\udf1f Patterns with Hundreds (\u00d7100) \ud83c\udfc6 Patterns with Thousands (\u00d71,000) \ud83e\udde9 Compare the Pattern Multiplication Pattern Change Effect \u00d710 Add 1 zero 10 times<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/d-7-multiplication-patterns-over-increasing-place-values\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.7 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-78","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=78"}],"version-history":[{"count":22,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78\/revisions"}],"predecessor-version":[{"id":16686,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/78\/revisions\/16686"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}