{"id":83,"date":"2022-04-11T14:27:32","date_gmt":"2022-04-11T14:27:32","guid":{"rendered":"http:\/\/3rdclass.deltapublications.in\/?page_id=83"},"modified":"2025-11-06T06:06:43","modified_gmt":"2025-11-06T06:06:43","slug":"d-6-subtraction-patterns-over-increasing-place-values","status":"publish","type":"page","link":"https:\/\/3rdclass.deltapublications.in\/index.php\/d-6-subtraction-patterns-over-increasing-place-values\/","title":{"rendered":"D.6 Subtraction 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>Subtraction patterns over increasing place values<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-414cfaec28c56976f580277595cd5406\" style=\"color:#74008b\"><strong>key notes : <\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Subtraction Involves Place Value<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In subtraction, we subtract <strong>ones from ones<\/strong>, <strong>tens from tens<\/strong>, and <strong>hundreds from hundreds<\/strong>.<br>\ud83d\udc49 Example: <strong>456 \u2212 123<\/strong><br>Hundreds: 4\u22121 | Tens: 5\u22122 | Ones: 6\u22123<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Patterns With Tens (\u221210, \u221220, \u221230&#8230;)<\/strong> \ud83d\udd22\u2728<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When we subtract <strong>10<\/strong>, only the <strong>tens place changes<\/strong>.<\/li>\n\n\n\n<li>Ones stay the same!<br>\ud83e\uddee Example:<br>65 \u2212 10 = 55<br>65 \u2212 20 = 45<br>65 \u2212 30 = 35<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udfe3 <strong>Pattern:<\/strong> The number decreases by 10 each time!<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Patterns With Hundreds (\u2212100, \u2212200&#8230;)<\/strong> \ud83d\udcaf\ud83d\udcc9<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When we subtract <strong>100<\/strong>, only the <strong>hundreds place changes<\/strong>.<\/li>\n\n\n\n<li>Tens and ones stay the same!<br>\ud83e\uddee Example:<br>345 \u2212 100 = 245<br>345 \u2212 200 = 145<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udfe2 <strong>Pattern:<\/strong> The number decreases by 100 every time!<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Recognizing Subtraction Pattern Steps<\/strong> \ud83d\udc40\ud83d\udcca<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Numbers form a <strong>sequence<\/strong> when subtracting the same value repeatedly.<br>Example Pattern:<br>\u27a1\ufe0f 300, 250, 200, 150, 100<br>\ud83d\udc49 Each step subtracts <strong>50<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd38 <strong>Use Place Value to Simplify Subtraction<\/strong> \ud83d\udca1\ud83e\uddee<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Break subtraction into parts:<br>Example: 534 \u2212 120<br>= (500 \u2212 100) + (30 \u2212 20) + 4<br>= 400 + 10 + 4<br>\u2705 <strong>= 414<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Borrowing\/Regrouping May Be Needed<\/strong> \ud83d\udd01\u270d\ufe0f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When a smaller digit is on top, we <strong>regroup<\/strong> from the next place value.<br>Example:<br>402 \u2212 189<br>\ud83d\udc40 Borrow from tens\/hundreds if needed.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\udde9 <strong>Spot the Pattern Activity Tip<\/strong> \ud83d\udcac\ud83d\udcdd<\/h3>\n\n\n\n<p>Ask students:<br>\u2714\ufe0f What number is being subtracted each time?<br>\u2714\ufe0f Which place value is changing?<br>\u2714\ufe0f What remains the same?<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf08 Quick Examples:<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Pattern<\/th><th>Subtracted Value<\/th><th>Sequence<\/th><\/tr><\/thead><tbody><tr><td>Tens Pattern<\/td><td>\u221210<\/td><td>89, 79, 69, 59<\/td><\/tr><tr><td>Hundreds Pattern<\/td><td>\u2212100<\/td><td>650, 550, 450, 350<\/td><\/tr><tr><td>Mixed Pattern<\/td><td>\u221225<\/td><td>200, 175, 150, 125<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Key Idea to Remember<\/strong><\/h3>\n\n\n\n<p>\ud83d\udcac \u201cWhen you subtract by 10s or 100s, look at the <strong>place value<\/strong> that changes. Others stay the same!\u201d<\/p>\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:#edeea6\"><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-8b7d5b6c375d2c5befdc01ace88d8491\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n\n<p>9 \u2212____= 5<br>90 \u2212____= 50<br>900 \u2212____= 500<br>9,000 \u2212____= 5,000<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>9&nbsp;<strong>ones<\/strong>&nbsp;\u2212 4&nbsp;<strong>ones<\/strong>&nbsp;= 5&nbsp;<strong>ones<\/strong><br>9 \u2212 4 = 5<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>9&nbsp;<strong>tens<\/strong>&nbsp;\u2212 4&nbsp;<strong>tens<\/strong>&nbsp;= 5&nbsp;<strong>tens<\/strong><br>90 \u2212 40 = 50<\/p>\n\n\n\n<p>9&nbsp;<strong>hundreds<\/strong>&nbsp;\u2212 4&nbsp;<strong>hundreds<\/strong>&nbsp;= 5&nbsp;<strong>hundreds<\/strong><br>900 \u2212 400 = 500<\/p>\n\n\n\n<p>9&nbsp;<strong>thousands<\/strong>&nbsp;\u2212 4&nbsp;<strong>thousands<\/strong>&nbsp;= 5&nbsp;<strong>thousands<\/strong><br>9,000 \u2212 4,000 = 5,000<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#faa2e6\"><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-8b7d5b6c375d2c5befdc01ace88d8491\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n\n<p>____\u2212 5 = 4<br>____\u2212 50 = 40<br>____\u2212 500 = 400<br>____\u2212 5,000 = 4,000<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>9&nbsp;<strong>ones<\/strong>&nbsp;\u2212 5&nbsp;<strong>ones<\/strong>&nbsp;= 4&nbsp;<strong>ones<\/strong><br>9 \u2212 5 = 4<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>9&nbsp;<strong>tens<\/strong>&nbsp;\u2212 5&nbsp;<strong>tens<\/strong>&nbsp;= 4&nbsp;<strong>tens<\/strong><br>90 \u2212 50 = 40<\/p>\n\n\n\n<p>9&nbsp;<strong>hundreds<\/strong>&nbsp;\u2212 5&nbsp;<strong>hundreds<\/strong>&nbsp;= 4&nbsp;<strong>hundreds<\/strong><br>900 \u2212 500 = 400<\/p>\n\n\n\n<p>9&nbsp;<strong>thousands<\/strong>&nbsp;\u2212 5&nbsp;<strong>thousands<\/strong>&nbsp;= 4&nbsp;<strong>thousands<\/strong><br>9,000 \u2212 5,000 = 4,000<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b2fbfb\"><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-8b7d5b6c375d2c5befdc01ace88d8491\" style=\"color:#b00012\"><strong>Complete the pattern:<\/strong><\/p>\n\n\n\n<p>&nbsp;______\u2212 6 = 1<\/p>\n\n\n\n<p>&nbsp;______ \u2212 60 = 10<\/p>\n\n\n\n<p>&nbsp;______\u2212 600 = 100<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the first missing number:<\/p>\n\n\n\n<p>7&nbsp;<strong>ones<\/strong>&nbsp;\u2212 6&nbsp;<strong>ones<\/strong>&nbsp;= 1&nbsp;<strong>one<\/strong><br>7 \u2212 6 = 1<\/p>\n\n\n\n<p>Now complete the pattern:<\/p>\n\n\n\n<p>7&nbsp;<strong>tens<\/strong>&nbsp;\u2212 6&nbsp;<strong>tens<\/strong>&nbsp;= 1&nbsp;<strong>ten<\/strong><br>70 \u2212 60 = 10<\/p>\n\n\n\n<p>7&nbsp;<strong>hundreds<\/strong>&nbsp;\u2212 6&nbsp;<strong>hundreds<\/strong>&nbsp;= 1&nbsp;<strong>hundred<\/strong><br>700 \u2212 600 = 100<\/p>\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\/77025\/905\/342\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-215.png\" alt=\"\" class=\"wp-image-8844\" srcset=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-215.png 500w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-215-300x300.png 300w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-215-150x150.png 150w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-215-400x400.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\/76983\/469\/437\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-222.png\" alt=\"\" class=\"wp-image-8845\" srcset=\"https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-222.png 500w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-222-300x300.png 300w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-222-150x150.png 150w, https:\/\/3rdclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-222-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Subtraction patterns over increasing place values key notes : \ud83d\udd38 Subtraction Involves Place Value \ud83d\udd39 Patterns With Tens (\u221210, \u221220, \u221230&#8230;) \ud83d\udd22\u2728 \ud83d\udfe3 Pattern: The number decreases by 10 each time! \ud83d\udd38 Patterns With Hundreds (\u2212100, \u2212200&#8230;) \ud83d\udcaf\ud83d\udcc9 \ud83d\udfe2 Pattern: The number decreases by 100 every time! \ud83d\udd39 Recognizing Subtraction Pattern Steps \ud83d\udc40\ud83d\udcca \ud83d\udd38 Use<a class=\"more-link\" href=\"https:\/\/3rdclass.deltapublications.in\/index.php\/d-6-subtraction-patterns-over-increasing-place-values\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.6 Subtraction 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-83","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/83","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=83"}],"version-history":[{"count":13,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/83\/revisions"}],"predecessor-version":[{"id":20037,"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/83\/revisions\/20037"}],"wp:attachment":[{"href":"https:\/\/3rdclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=83"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}