{"id":26,"date":"2022-04-13T06:08:47","date_gmt":"2022-04-13T06:08:47","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=26"},"modified":"2025-11-20T06:43:05","modified_gmt":"2025-11-20T06:43:05","slug":"b-1-add-subtract-multiply-and-divide-integers","status":"publish","type":"page","link":"https:\/\/9thclass.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<h3 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add, subtract, multiply and divide integers<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key notes <\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><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>Adding Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Rules:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Same Signs:<\/strong> Add the absolute values and keep the sign.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"206\" height=\"62\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image.png\" alt=\"\" class=\"wp-image-14573\" style=\"width:228px;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 loading=\"lazy\" decoding=\"async\" width=\"186\" height=\"67\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-1.png\" alt=\"\" class=\"wp-image-14575\" style=\"width:229px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Number Line:<\/strong><\/li>\n\n\n\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\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>Subtracting Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Rules:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Subtracting an Integer:<\/strong> To subtract an integer, add its opposite.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"290\" height=\"95\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-2.png\" alt=\"\" class=\"wp-image-14576\" style=\"width:274px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Number Line:<\/strong><\/li>\n\n\n\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\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>Add <strong>Multiplying Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Rules:<\/strong><\/p>\n\n\n\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\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"222\" height=\"59\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-3.png\" alt=\"\" class=\"wp-image-14577\" style=\"width:259px;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 loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"66\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-4.png\" alt=\"\" class=\"wp-image-14578\" style=\"width:218px;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 loading=\"lazy\" decoding=\"async\" width=\"146\" height=\"130\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-5.png\" alt=\"\" class=\"wp-image-14580\" style=\"width:126px;height:auto\"\/><\/figure><\/div>\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>Dividing Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Rules:<\/strong><\/p>\n\n\n\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\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"61\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-6.png\" alt=\"\" class=\"wp-image-14581\" style=\"width:228px;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 loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"62\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-7.png\" alt=\"\" class=\"wp-image-14583\" style=\"width:258px;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 loading=\"lazy\" decoding=\"async\" width=\"134\" height=\"129\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-8.png\" alt=\"\" class=\"wp-image-14584\" style=\"width:130px;height:auto\"\/><\/figure><\/div>\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>Tips for Students<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Consistent Practice:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Regular practice with varied problems helps reinforce the rules and concepts.<\/li>\n\n\n\n<li><strong>Use of Number Lines:<\/strong><\/li>\n\n\n\n<li>Number lines are particularly helpful for visualizing addition and subtraction of integers.<\/li>\n\n\n\n<li><strong>Understanding Signs:<\/strong><\/li>\n\n\n\n<li>Focus on the rules regarding the signs of integers to avoid common mistakes.<\/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>Classroom Activities<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Interactive Number Line:<\/strong><\/p>\n\n\n\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\n\n\n<p><strong>Integer Card Games:<\/strong><\/p>\n\n\n\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\n\n\n<p><strong>Worksheets:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Provide worksheets with mixed integer operations to solve, ensuring varied practice.<\/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>Group Activities:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\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<\/div><\/div>\n\n\n\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 has-background has-normal-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\" style=\"color:#b00012\"><strong>When you add a positive number and a negative number: <\/strong><\/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;-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 class=\"has-background-background-color has-background\">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;-17 and&nbsp;-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-normal-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\" style=\"color:#b00012\"><strong>When you add a positive number and a negative number: <\/strong><\/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-text-color\" style=\"color:#b30000\">-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;-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>Since&nbsp;-291 has a larger magnitude and&nbsp;-291 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>-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-normal-font-size\" style=\"background-color:#f9a5d9\"><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\" style=\"color:#b00012\"><strong>When 2 integers have the same sign, the product is positive:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive \u00d7 positive = positive<\/li>\n\n\n\n<li>negative \u00d7 negative = positive<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>When 2 integers have different signs, the product is negative:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive \u00d7 negative = negative<\/li>\n\n\n\n<li>negative \u00d7 positive = negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Ex: <\/p>\n\n\n\n<p>875 is positive.&nbsp;-95 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00d7 negative = negative<\/p>\n\n\n\n<p>So, 875 \u00d7&nbsp;-95 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>875 \u00d7&nbsp;-95 =&nbsp;-83,125<\/p>\n\n\n\n<p>Yes, the answer is negative.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f8baba\"><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\" style=\"color:#b00012\"><strong>When 2 integers have the same sign, the quotient is positive:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive \u00f7 positive = positive<\/li>\n\n\n\n<li>negative \u00f7 negative = positive<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>When 2 integers have different signs, the quotient is negative:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>positive \u00f7 negative = negative<\/li>\n\n\n\n<li>negative \u00f7 positive = negative<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>EX: <\/p>\n\n\n\n<p>3,264 is positive.&nbsp;-48 is negative. Use the rule:<\/p>\n\n\n\n<p>positive \u00f7 negative = negative<\/p>\n\n\n\n<p>So, 3,264 \u00f7&nbsp;-48 is negative.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>3,264 \u00f7&nbsp;-48 =&nbsp;-68<\/p>\n\n\n\n<p>Yes, the answer is negative.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#eccdf7\"><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\" style=\"color:#b00012\"><strong>Is&nbsp;-120 \u00f7&nbsp;-30 positive or negative?<\/strong><\/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>-120 is negative.&nbsp;-30 is negative. Use the rule:<\/p>\n\n\n\n<p>negative \u00f7 negative = positive<\/p>\n\n\n\n<p>So,&nbsp;-120 \u00f7&nbsp;-30 is positive.<\/p>\n\n\n\n<p>Now check your answer by doing the maths.<\/p>\n\n\n\n<p>-120 \u00f7&nbsp;-30 = 4<\/p>\n\n\n\n<p>Yes, the answer is positive.<\/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\/850\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-25.png\" alt=\"\" class=\"wp-image-7343\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-25.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-25-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-25-150x150.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\/34142\/086\/460\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-26.png\" alt=\"\" class=\"wp-image-7344\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-26.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-26-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-26-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add, subtract, multiply and divide integers Key notes : Adding Integers Rules: Subtracting Integers Rules: Add Multiplying Integers Rules: Dividing Integers Rules: Tips for Students Consistent Practice: Classroom Activities Interactive Number Line: Integer Card Games: Worksheets: Group Activities: Learn with an example When you add a positive number and a negative number: Ex: When you<a class=\"more-link\" href=\"https:\/\/9thclass.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-26","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/26","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=26"}],"version-history":[{"count":28,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/26\/revisions"}],"predecessor-version":[{"id":18247,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/26\/revisions\/18247"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=26"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}