{"id":27,"date":"2022-04-13T09:47:36","date_gmt":"2022-04-13T09:47:36","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=27"},"modified":"2025-07-31T09:32:38","modified_gmt":"2025-07-31T09:32:38","slug":"b-1-add-subtract-multiply-and-divide-integers","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/b-1-add-subtract-multiply-and-divide-integers\/","title":{"rendered":"B.1 Add, subtract, multiply and divide integers"},"content":{"rendered":"\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<h3 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add, subtract, multiply, and divide integers<\/strong><\/h3>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-42482de354f926334f4544dbb03b76d4\" style=\"color:#74008b;text-transform:uppercase\"><strong>key notes:<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Adding Integers<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rules:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Same Signs:<\/strong> Add the absolute values and keep the sign.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image.png\" alt=\"\" class=\"wp-image-14573\" style=\"width:392px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Different Signs:<\/strong> Subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-1.png\" alt=\"\" class=\"wp-image-14575\" style=\"width:353px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Number Line:<\/strong>\n<ul class=\"wp-block-list\">\n<li>To add integers on a number line, start at the first number and move to the right for positive integers and to the left for negative integers.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Subtracting Integers<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rules:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Subtracting an Integer:<\/strong> To subtract an integer, add its opposite.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-2.png\" alt=\"\" class=\"wp-image-14576\" style=\"width:540px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Number Line:<\/strong>\n<ul class=\"wp-block-list\">\n<li>To subtract integers on a number line, start at the first number and move to the left for positive subtractions and to the right for negative subtractions.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Multiplying Integers<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rules:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Same Signs:<\/strong> The product of two integers with the same sign is positive.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-3.png\" alt=\"\" class=\"wp-image-14577\" style=\"width:433px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Different Signs:<\/strong> The product of two integers with different signs is negative.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4.png\" alt=\"\" class=\"wp-image-14578\" style=\"width:370px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Examples:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-5.png\" alt=\"\" class=\"wp-image-14580\" style=\"width:220px;height:auto\"\/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading\"><strong>Dividing Integers<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Rules:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Same Signs:<\/strong> The quotient of two integers with the same sign is positive.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-6.png\" alt=\"\" class=\"wp-image-14581\" style=\"width:358px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Different Signs:<\/strong> The quotient of two integers with different signs is negative.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-7.png\" alt=\"\" class=\"wp-image-14583\" style=\"width:376px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Examples:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-8.png\" alt=\"\" class=\"wp-image-14584\" style=\"width:277px;height:auto\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\"><strong>Tips for Students<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Consistent Practice:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Regular practice with varied problems helps reinforce the rules and concepts.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Use of Number Lines:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Number lines are particularly helpful for visualizing addition and subtraction of integers.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Understanding Signs:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Focus on the rules regarding the signs of integers to avoid common mistakes.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Classroom Activities<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Interactive Number Line:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Create a large number line on the classroom floor. Have students physically walk the number line to add or subtract integers.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Integer Card Games:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Use cards with positive and negative integers. Students draw cards and practice addition, subtraction, multiplication, and division.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Worksheets:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Provide worksheets with mixed integer operations to solve, ensuring varied practice.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Group Activities:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Have students work in groups to solve integer problems, fostering collaboration and discussion.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\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-background has-large-font-size\" style=\"background-color:#add0fa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-48bdae8c5708e30731164c108d9f0635\" style=\"color:#b00012\">When you add a positive number and a negative number: <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the positive number has a bigger magnitude, the result is positive. <\/li>\n\n\n\n<li>If the negative number has a bigger magnitude, the result is negative.<\/li>\n<\/ul>\n\n\n\n<p>Ex: <\/p>\n\n\n\n<p>When you add a positive number, 4,854,093, and a negative number,&nbsp;<sup>\u2013<\/sup>650,163, the result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of 4,854,093 is 4,854,093.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-650,163 is 650,163.<\/p>\n\n\n\n<p>Since 4,854,093 has a larger magnitude and 4,854,093 is positive, the result is positive.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>4,854,093 +&nbsp;-650,163 = 4,203,930<\/p>\n\n\n\n<p>As you can see, the result is positive.<\/p>\n\n\n\n<p>When you add negative numbers, the result is negative.<\/p>\n\n\n\n<p>Ex: <\/p>\n\n\n\n<p>When you add two negative numbers, like&nbsp;<sup>\u2013<\/sup>17 and&nbsp;<sup>\u2013<\/sup>46,337, the result is negative.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>-17 +&nbsp;-46,337 =&nbsp;-46,354<\/p>\n\n\n\n<p>As you can see, the result is negative.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#99ec94\"><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>Instead of subtracting a number, you can add its opposite.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-8d14411f36fb0b947f7fda964c0bf4ea\" style=\"color:#b00012\">When you add a positive number and a negative number: <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the positive number has a bigger magnitude, the result is positive. <\/li>\n\n\n\n<li>If the negative number has a bigger magnitude, the result is negative.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Ex: <\/p>\n\n\n\n<p>Since you are subtracting a negative number, add a positive number instead:<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color\">-291<strong>&nbsp;\u2212&nbsp;&#8211;<\/strong><strong>9<\/strong>&nbsp;=&nbsp;-291<strong>&nbsp;+&nbsp;<\/strong><strong>9<\/strong><\/p>\n\n\n\n<p>Now you have a negative number,&nbsp;<sup>\u2013<\/sup>291, and a positive number, 9. The result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-291 is 291.<\/p>\n\n\n\n<p>The magnitude of 9 is 9.<\/p>\n\n\n\n<p>The result is negative since -291 has a larger magnitude and -291 is negative.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>-291 \u2212&nbsp;-9 =&nbsp;-282<\/p>\n\n\n\n<p>As you can see, the result is negative<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c9befa\"><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-f774bd247358fc30ae9496bda6f56a75\" style=\"color:#b00012\">Is 222 +&nbsp;-5,827 positive or negative?<\/p>\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<p>When you add a positive number, 222, and a negative number,&nbsp;-5,827, the result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of 222 is 222.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-5,827 is 5,827.<\/p>\n\n\n\n<p>Since&nbsp;-5,827 has a larger magnitude and&nbsp;-5,827 is negative, the result is negative.<\/p>\n\n\n\n<p>You can check your answer by doing the maths.<\/p>\n\n\n\n<p>222 +&nbsp;-5,827 =&nbsp;-5,605<\/p>\n\n\n\n<p>As you can see, the result is negative.<\/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\/76089\/132\/894\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-10.png\" alt=\"\" class=\"wp-image-6452\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-10.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-10-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-10-150x150.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\/76056\/952\/833\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-10.png\" alt=\"\" class=\"wp-image-6453\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-10.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-10-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-10-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add, subtract, multiply, and divide integers key notes: Adding Integers Subtracting Integers Multiplying Integers Dividing Integers Tips for Students Classroom Activities Learn with an example When you add a positive number and a negative number: Ex: When you add a positive number, 4,854,093, and a negative number,&nbsp;\u2013650,163, the result has the same sign as the<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/b-1-add-subtract-multiply-and-divide-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.1 Add, subtract, multiply and divide 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-27","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=27"}],"version-history":[{"count":24,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/27\/revisions"}],"predecessor-version":[{"id":18160,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/27\/revisions\/18160"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}