{"id":40,"date":"2022-04-12T11:55:59","date_gmt":"2022-04-12T11:55:59","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=40"},"modified":"2025-11-20T06:05:57","modified_gmt":"2025-11-20T06:05:57","slug":"c-3-add-and-subtract-integers","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/c-3-add-and-subtract-integers\/","title":{"rendered":"C.3 Add and subtract integers"},"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>Add and subtract integers<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwritfiFk\/6-nsBAwVF8c-vjY6RtNEcQ\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwritfiFk&#x2F;6-nsBAwVF8c-vjY6RtNEcQ&#x2F;watch?utm_content=DAGwritfiFk&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Add And Subtract Integers <\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ab8376a8ebfb22772ef7356f8b60e696\" 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 What are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Integers<\/strong> are the set of whole numbers and their negatives, including zero.<br>\ud83d\udc49 Example: { \u2026 \u20135, \u20134, \u20133, \u20132, \u20131, 0, 1, 2, 3, 4, 5 \u2026 }<\/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 Addition of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>There are two cases when adding integers:<\/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><strong> Same Signs<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add the absolute values.<\/li>\n\n\n\n<li>Keep the <strong>same sign<\/strong>.<br>\ud83d\udc49 Example:<br>(+7) + (+5) = +12<br>(\u20138) + (\u20136) = \u201314<\/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:#000060\"><tbody><tr><td><strong><strong>Different Signs<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract the smaller absolute value from the larger absolute value.<\/li>\n\n\n\n<li>Keep the sign of the number with the <strong>greater absolute value<\/strong>.<br>\ud83d\udc49 Example:<br>(+9) + (\u20134) = +5<br>(\u201312) + (+7) = \u20135<\/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 Subtraction of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To subtract an integer, <strong>add its opposite<\/strong>.<br>\ud83d\udc49 Rule:<br>a \u2013 b = a + (\u2013b)<\/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:#000060\"><tbody><tr><td><strong><a href=\"Examples:\">\ud83d\udd39 <\/a>Examples<\/strong>:<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>7 \u2013 (\u20133) = 7 + 3 = 10<\/li>\n\n\n\n<li>(\u20136) \u2013 (+4) = (\u20136) + (\u20134) = \u201310<\/li>\n\n\n\n<li>(\u20135) \u2013 (\u20138) = (\u20135) + (+8) = +3<\/li>\n<\/ol>\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 Number Line Method<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Integers can also be added and subtracted using a number line:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Move <strong>right<\/strong> for positive integers.<\/li>\n\n\n\n<li>Move <strong>left<\/strong> for negative integers.<\/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:#000060\"><tbody><tr><td><strong><strong>Example on Number Line:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(\u20133) + 5 \u2192 Start at \u20133, move 5 steps right \u2192 ends at +2.<\/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><strong>\ud83d\udd39 Key Rules Summary<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Adding same signs<\/strong> \u2192 Add and keep the sign.<\/li>\n\n\n\n<li><strong>Adding different signs<\/strong> \u2192 Subtract and keep the sign of the larger number.<\/li>\n\n\n\n<li><strong>Subtracting integers<\/strong> \u2192 Change subtraction into addition of the opposite.<\/li>\n<\/ol>\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 Practice Examples<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(\u201315) + (\u201312) = ?<\/li>\n\n\n\n<li>(+25) + (\u201330) = ?<\/li>\n\n\n\n<li>(\u20138) \u2013 (+6) = ?<\/li>\n\n\n\n<li>(+12) \u2013 (\u20135) = ?<\/li>\n\n\n\n<li>(\u201320) + (+15) = ?<\/li>\n<\/ol>\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>\u2705 Answer Key:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u201327<\/li>\n\n\n\n<li>\u20135<\/li>\n\n\n\n<li>\u201314<\/li>\n\n\n\n<li>+17<\/li>\n\n\n\n<li>\u20135<\/li>\n<\/ol>\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\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#8fcef2\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-86212ed0432538ce88742d633c642761\" style=\"color:#b00012\">3 \u2212 7 =<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Since 7 is bigger than 3, the answer will be negative.<\/p>\n\n\n\n<p>First, solve an easier problem:<\/p>\n\n\n\n<p>7 \u2212 3 = 4<\/p>\n\n\n\n<p>Remember that the answer to the problem you&#8217;re solving will be negative:<\/p>\n\n\n\n<p>3 \u2212 7 =&nbsp;-4<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f79ddc\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-975670aabcab2f6f4ef943e49eae6889\" style=\"color:#b00012\">-9 + 3 =<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Switch the order of the numbers:<\/p>\n\n\n\n<p>\u20139 + 3 = 3 + \u20139<\/p>\n\n\n\n<p>Now change the negative sign to a subtraction sign:<\/p>\n\n\n\n<p>3 + \u20139 = 3 \u2212 9<\/p>\n\n\n\n<p>Since 9 is bigger than 3, the answer will be negative.<\/p>\n\n\n\n<p>First solve an easier problem:<\/p>\n\n\n\n<p>9 \u2212 3 = 6<\/p>\n\n\n\n<p>Remember that the answer to the problem you&#8217;re solving will be negative:<\/p>\n\n\n\n<p>3 \u2212 9 = \u20136<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>\u20139 + 3 = \u20136<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#87edbf\"><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 has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-943f3d8be04e6abee473eaecbfbfb8f5\" style=\"color:#b00012\">-8+9=<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Switch the order of the numbers:<\/p>\n\n\n\n<p>\u20138 + 9 = 9 + \u20138<\/p>\n\n\n\n<p>Now change the negative sign to a subtraction sign:<\/p>\n\n\n\n<p>9 + \u20138 = 9 \u2212 8<\/p>\n\n\n\n<p>Subtract:<\/p>\n\n\n\n<p>9 \u2212 8 = 1<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>\u20138 + 9 = 1<\/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<\/div><\/div>\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\/76322\/532\/281\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-232.png\" alt=\"\" class=\"wp-image-9343\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-232.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-232-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-232-150x150.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\/76408\/794\/153\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-238.png\" alt=\"\" class=\"wp-image-9344\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-238.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-238-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-238-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract integers Add And Subtract Integers by Delta publications Key notes: \ud83d\udd39 What are Integers? \ud83d\udd39 Addition of Integers There are two cases when adding integers: Same Signs Different Signs \ud83d\udd39 Subtraction of Integers \ud83d\udd39 Examples: \ud83d\udd39 Number Line Method Integers can also be added and subtracted using a number line: Example on<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/c-3-add-and-subtract-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.3 Add and subtract integers&#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-40","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=40"}],"version-history":[{"count":31,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/40\/revisions"}],"predecessor-version":[{"id":22318,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/40\/revisions\/22318"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}