{"id":50,"date":"2022-04-12T09:24:15","date_gmt":"2022-04-12T09:24:15","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=50"},"modified":"2025-11-21T05:42:11","modified_gmt":"2025-11-21T05:42:11","slug":"c-3-add-and-subtract-integers","status":"publish","type":"page","link":"https:\/\/7thclass.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\" style=\"color:#050095;text-transform:uppercase\"><strong>Add and subtract integers<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/C.3-Add-and-subtract-integers.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" 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>Integers:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Integers are whole numbers that can be positive, negative, or zero.<\/li>\n\n\n\n<li>Examples of integers: \u22123,\u22122,\u22121,0,1,2,3<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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>Adding Integers:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Same Signs:<\/strong><\/h4>\n\n\n\n<p>When adding two integers with the <strong>same sign<\/strong>, add their absolute values and keep the common sign.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 4+7=11<\/li>\n\n\n\n<li>Rule: (+a)+(+b)=+(a+b) and (\u2212a)+(\u2212b)=\u2212(a+b)<\/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><strong>Different Signs:<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>When adding two integers with <strong>different signs<\/strong>, subtract the smaller absolute value from the larger absolute value, and take the sign of the integer with the larger absolute value.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 5+(\u22123)=2 and \u22125+3=\u22122<\/li>\n\n\n\n<li>Rule: (+a)+(\u2212b)=\u2223a\u2212b\u2223 with the sign of the larger value.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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><strong><strong>Subtracting Integers:<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Subtracting an integer<\/strong> is the same as adding its <strong>opposite<\/strong> (the negative of the integer).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 5\u22123=5+(\u22123)=2<\/li>\n\n\n\n<li>Example: \u22127\u22124=\u22127+(\u22124)=\u221211<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Steps for Subtracting Integers:<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Change the subtraction to addition by taking the opposite of the second integer.<\/li>\n\n\n\n<li>Follow the rules for adding 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><strong><strong>\ud83d\udccc <strong>Number Line Method (Optional):<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Adding a positive integer<\/strong>: Move right on the number line.<\/li>\n\n\n\n<li><strong>Adding a negative integer<\/strong>: Move left on the number line.<\/li>\n\n\n\n<li><strong>Subtracting<\/strong>: Change the sign and follow the addition rule.<\/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><strong><strong>\ud83e\udde0 <strong>Quick Tip:<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Always remember:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li><strong>Subtracting an integer = Adding its opposite<\/strong><\/li>\n<\/ul>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#86a9f4\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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><strong><strong>\u270f\ufe0f <strong>Practice Problems:<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list has-background-background-color has-background\">\n<li>(+8) + (\u20135) = ______<\/li>\n\n\n\n<li>(\u20136) + (\u20137) = ______<\/li>\n\n\n\n<li>(+4) \u2013 (\u20133) = ______<\/li>\n\n\n\n<li>(\u201310) \u2013 (+6) = ______<\/li>\n\n\n\n<li>(\u20133) \u2013 (\u20139) = ______<\/li>\n\n\n\n<li>(+12) + (+5) = ______<\/li>\n\n\n\n<li>(\u201315) + (+7) = ______<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 <strong>Answer Key:<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>+3<\/strong><\/li>\n\n\n\n<li><strong>\u201313<\/strong><\/li>\n\n\n\n<li><strong>+7<\/strong><\/li>\n\n\n\n<li><strong>\u201316<\/strong><\/li>\n\n\n\n<li><strong>+6<\/strong><\/li>\n\n\n\n<li><strong>+17<\/strong><\/li>\n\n\n\n<li><strong>\u20138<\/strong><\/li>\n<\/ol>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" 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-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-235715b292d74aacb7f475ddb94c2dce\" style=\"background-color:#c5eafb\"><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-align-center has-text-color has-normal-font-size\" style=\"color:#b00012\"><strong>3 \u2212 7 =<\/strong><\/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-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-3321df63d65eb2689637a239418b377a\" style=\"background-color:#d8f7dc\"><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-align-center has-text-color has-normal-font-size\" style=\"color:#b00012\"><strong>-9 + 3 =<\/strong><\/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-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-0c7c707d1ce94ff3fd9122c526530611\" style=\"background-color:#f5c9e0\"><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-align-center has-text-color has-large-font-size\" style=\"color:#b00012\"><sup><strong>-8 + 9 =<\/strong><\/sup><\/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\"><strong>Try some practice problems!<\/strong><\/p>\n<\/div><\/div>\n<\/div><\/div>\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\/76364\/244\/332\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-191.png\" alt=\"\" class=\"wp-image-7137\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-191.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-191-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-191-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-191-400x400.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\/76365\/769\/177\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-194.png\" alt=\"\" class=\"wp-image-7138\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-194.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-194-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-194-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-194-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract integers Key Notes: Integers: Adding Integers: Same Signs: When adding two integers with the same sign, add their absolute values and keep the common sign. Different Signs: When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value, and take the sign of the integer with<a class=\"more-link\" href=\"https:\/\/7thclass.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,"footnotes":""},"class_list":["post-50","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Add and subtract integers Key Notes: Integers are whole numbers that can be positive, negative, or zero. 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