{"id":170,"date":"2022-04-12T09:45:40","date_gmt":"2022-04-12T09:45:40","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=170"},"modified":"2025-12-03T11:52:37","modified_gmt":"2025-12-03T11:52:37","slug":"h-6-apply-addition-and-subtraction-rules","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/h-6-apply-addition-and-subtraction-rules\/","title":{"rendered":"H.6 Apply addition and subtraction rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Apply addition and subtraction rules<\/strong><\/h2>\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<h2 class=\"wp-block-heading has-large-font-size\">\u2795 <strong>Addition of Integers<\/strong><\/h2>\n\n\n\n<p>Same sign \u2192 <strong>Add<\/strong> the numbers, keep the <strong>same sign<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>+5 + +3 = +8<\/strong> \ud83d\ude0a<\/li>\n\n\n\n<li>Example: <strong>\u20137 + \u20132 = \u20139<\/strong> \ud83d\ude10<\/li>\n<\/ul>\n\n\n\n<p>Different signs \u2192 <strong>Subtract<\/strong> the smaller number from the bigger number, keep the <strong>sign of the bigger number<\/strong> (in value).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>\u20138 + +3 = \u20135<\/strong><\/li>\n\n\n\n<li>Example: <strong>+10 + \u20136 = +4<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\u2796 <strong>Subtraction of Integers<\/strong><\/h2>\n\n\n\n<p>Use the rule:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udca1 <strong>Subtracting a number = Adding its opposite<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>7 \u2013 4 = 7 + (\u20134) = 3<\/strong><\/li>\n\n\n\n<li>Example: <strong>\u20136 \u2013 3 = \u20136 + (\u20133) = \u20139<\/strong><\/li>\n\n\n\n<li>Example: <strong>\u20132 \u2013 (\u20135) = \u20132 + +5 = +3<\/strong> \ud83c\udf89<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>Order Matters in Subtraction<\/strong><\/h2>\n\n\n\n<p>Subtraction is <strong>not commutative<\/strong> (changing the order changes the answer).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>7 \u2013 3 = 4<\/strong><\/li>\n\n\n\n<li>Example: <strong>3 \u2013 7 = \u20134<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Addition <strong>is<\/strong> commutative.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>4 + 6 = 6 + 4<\/strong> \u2714\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udf88 <strong>Apply Rules in Expressions<\/strong><\/h2>\n\n\n\n<p>When solving expressions like:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>+12 \u2013 7 + (\u20135)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Convert subtraction \u2192 addition<\/li>\n\n\n\n<li><strong>12 + (\u20137) + (\u20135) = 12 \u2013 7 \u2013 5 = 0<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\uddee <strong>Use Number Line (Visual)<\/strong><\/h2>\n\n\n\n<p>Moving <strong>right \u27a1\ufe0f = adding<\/strong><\/p>\n\n\n\n<p>Moving <strong>left \u2b05\ufe0f = subtracting<\/strong><\/p>\n\n\n\n<p>Helps understand positive and negative movement.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: Start at <strong>\u20133<\/strong>, move <strong>+5<\/strong> steps \u2192 end at <strong>+2<\/strong> \ud83c\udfaf<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>Combine Like Terms<\/strong><\/h2>\n\n\n\n<p>When variables are involved:<\/p>\n\n\n\n<p>Only combine terms with the <strong>same variable and exponent<\/strong><\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>3a + 5a = 8a<\/strong><\/li>\n\n\n\n<li><strong>7x \u2013 2x = 5x<\/strong><\/li>\n\n\n\n<li><strong>4y \u2013 (\u20133y) = 4y + 3y = 7y<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\u2728 <strong>Check Using Opposites<\/strong><\/h2>\n\n\n\n<p>A number and its opposite always add to <strong>zero<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: <strong>+7 + \u20137 = 0<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Helps verify your answers quickly! \u2714\ufe0f<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 <strong>Real-Life Application<\/strong><\/h2>\n\n\n\n<p>Use addition and subtraction rules with:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profit &amp; loss \ud83d\udcb5<\/li>\n\n\n\n<li>Temperature rise &amp; fall \ud83c\udf21\ufe0f<\/li>\n\n\n\n<li>Elevation above and below sea level \u26f0\ufe0f<\/li>\n\n\n\n<li>Bank deposits and withdrawals \ud83c\udfe6<\/li>\n<\/ul>\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-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-primary-color has-text-color has-background has-link-color wp-elements-3eecd149b7f22b893151da068b63eca4\" style=\"background-color:#eae0fc\"><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-background-background-color has-text-color has-background has-link-color wp-elements-53181b9a8d0cde8021103e172f871be5\"><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<p>\ud83d\udca1 The&nbsp;number line shows an unknown number,&nbsp;w.<\/p>\n\n\n\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<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\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview.png\" alt=\"\" class=\"wp-image-3393\" style=\"aspect-ratio:4;width:380px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udca1 <strong>Is w&nbsp;positive or&nbsp;negative?<\/strong><\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The unknown number w is to the right of 0. So, w is positive.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3394\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-1.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-1-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__2_-removebg-preview-1-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-36c45449217dbfeafb7dd1d92ad1c723\" style=\"background-color:#f4f7c4\"><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-background-background-color has-text-color has-background has-link-color wp-elements-609786fb73eed13b5cfb26679b136dde\"><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<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>\ud83d\udca1 The&nbsp;number line shows an unknown number,&nbsp;p.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview.png\" alt=\"\" class=\"wp-image-3390\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udca1 <strong>Is p&nbsp;positive or&nbsp;negative?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;unknown number&nbsp;p&nbsp;is to the left of 0. So,&nbsp;p&nbsp;is&nbsp;negative.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3391\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-1.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-1-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q__1_-removebg-preview-1-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-9215cd8732afae552919353bfa597106\" style=\"background-color:#d2f8d1\"><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-background-background-color has-text-color has-background has-link-color wp-elements-0c071c2c2b1e7ccdc64d6e7a9c98c0a0\"><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<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>\ud83d\udca1 The&nbsp;number line shows an unknown number,&nbsp;q.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q.png\" alt=\"\" class=\"wp-image-3384\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udca1 <strong>Is&nbsp;q positive or&nbsp;negative?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive<\/li>\n\n\n\n<li>negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The unknown number q is to the left of 0. So, q is negative.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-removebg-preview.png\" alt=\"\" class=\"wp-image-3388\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-removebg-preview.png 800w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-removebg-preview-300x75.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/q-removebg-preview-768x192.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Let&#8217;s practice! \ud83d\udd8a\ufe0f<\/strong><\/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\/80681\/862\/193\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-271.png\" alt=\"\" class=\"wp-image-7426\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-271.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-271-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-271-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-271-400x400.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\/81272\/075\/320\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-279.png\" alt=\"\" class=\"wp-image-7427\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-279.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-279-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-279-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-279-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Apply addition and subtraction rules Key notes: \u2795 Addition of Integers Same sign \u2192 Add the numbers, keep the same sign. Different signs \u2192 Subtract the smaller number from the bigger number, keep the sign of the bigger number (in value). \u2796 Subtraction of Integers Use the rule: \ud83d\udca1 Subtracting a number = Adding its<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/h-6-apply-addition-and-subtraction-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.6 Apply addition and subtraction rules&#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-170","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=170"}],"version-history":[{"count":25,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/170\/revisions"}],"predecessor-version":[{"id":17630,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/170\/revisions\/17630"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}