{"id":165,"date":"2022-04-08T05:07:24","date_gmt":"2022-04-08T05:07:24","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=165"},"modified":"2024-12-07T09:40:05","modified_gmt":"2024-12-07T09:40:05","slug":"j-5-add-and-subtract-integers-find-the-sign","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/j-5-add-and-subtract-integers-find-the-sign\/","title":{"rendered":"J.5 Add and subtract integers: find the sign"},"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: find the sign<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ac2bc047fac346cd34a46d2a76287634\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">An integer is a number without a fractional part. Integers can be positive, negative, or zero.<\/p>\n\n\n\n<p class=\"has-large-font-size\">You can add and subtract integers. Read on to learn how!<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3025\">Adding&nbsp;integers&nbsp;on&nbsp;a&nbsp;number&nbsp;line<\/h4>\n\n\n\n<p class=\"has-large-font-size\">You can use a number line to add integers. Follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Find the first addend on the number line.<\/li>\n\n\n\n<li class=\"has-large-font-size\">Add the second addend. To add a positive number, move to the right. To add a negative number, move to the left. The sum is where you land.<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3222\">Adding&nbsp;a&nbsp;positive&nbsp;integer<\/h4>\n\n\n\n<p class=\"has-large-font-size\">Let&#8217;s try it. Add \u20133+5.<\/p>\n\n\n\n<p class=\"has-large-font-size\">Find \u20133 on the number line. Since 5 is positive, move 5 units to the right.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.ixl.com\/~media\/1\/YTuikUL6O2Wm2hvSXBYA_PhR_PFC62hFSqjejgCIije03odkCnL1jjGwYgQ-PsoIh1NkHAmr1MYmQE1MiljXkxH-tTbtHlcMh2c201pnhkI.svg\" alt=\"A number line from negative five to five, with a scale of one, is shown. There is a point at negative 3. There are arrows from negative 3 to negative 2, from negative 2 to negative 1, from negative 1 to 0, from 0 to 1, and from 1 to 2. There is also a point at 2.\"\/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Since you land on 2, the sum is 2.<\/p>\n\n\n\n<p class=\"has-large-font-size\">So, \u20133+5=2.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3248\">Adding&nbsp;a&nbsp;negative&nbsp;integer<\/h4>\n\n\n\n<p class=\"has-large-font-size\">Let&#8217;s try another one. Add 4+(\u20137).<\/p>\n\n\n\n<p class=\"has-large-font-size\">Find 4 on the number line. Since \u20137 is negative, move 7 units to the left.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.ixl.com\/~media\/1\/v87jK3S_QJ9NsMawSvWgW7LsxGe97E2aYA9lrCRSLMB3Y4hTz5R2nBx90jCYH1SsUmjn1pM0KpdDKVrFA3DabjaCtyTlTnQfHXWyxIGnuDY.svg\" alt=\"A number line from negative five to five, with a scale of one, is shown. There is a point at 4. There are arrows from 4 to 3, from 3 to 2, from 2 to 1, from 1 to 0, from 0 to negative 1, from negative 1 to negative 2, and from negative 2 to negative 3. There is also a point at negative 3.\"\/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Since you land on \u20133, the sum is \u20133.<\/p>\n\n\n\n<p class=\"has-large-font-size\">So, 4+(\u20137)=\u20133.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3280\">Rules&nbsp;for&nbsp;adding&nbsp;integers<\/h4>\n\n\n\n<p class=\"has-large-font-size\">You can add integers without number lines. Use the signs of the addends to help you solve!<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">If the addends have the same sign, add the <a href=\"https:\/\/www.ixl.com\/math\/lessons\/absolute-value\">absolute&nbsp;values<\/a> of the addends, and give the sum that sign.<\/li>\n\n\n\n<li class=\"has-large-font-size\">If the addends have different signs, subtract the lesser absolute value from the greater absolute value, and give the sum the sign of the addend with the greater absolute value.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3291\">Adding&nbsp;integers&nbsp;with&nbsp;the&nbsp;same&nbsp;sign<\/h4>\n\n\n\n<p class=\"has-large-font-size\">Let&#8217;s try it. Add \u20134+(\u20136).<\/p>\n\n\n\n<p class=\"has-large-font-size\">The signs of the addends are the same, so add their absolute values.<\/p>\n\n\n\n<p class=\"has-large-font-size\">|\u20134|+|\u20136|=4+6=10<\/p>\n\n\n\n<p class=\"has-large-font-size\">Since both addends are negative, the sum is also negative.<\/p>\n\n\n\n<p class=\"has-large-font-size\">So, \u20134+(\u20136)=\u201310.<\/p>\n\n\n\n<h4 class=\"wp-block-heading has-foreground-color has-text-color\" id=\"yui_3_18_1_1_1670933459033_3079\">Adding&nbsp;integers&nbsp;with&nbsp;different&nbsp;signs<\/h4>\n\n\n\n<p class=\"has-large-font-size\">Let&#8217;s try another one. Add \u20134+6.<\/p>\n\n\n\n<p class=\"has-large-font-size\">The signs of the addends are different, so subtract the lesser absolute value from the greater absolute value.<\/p>\n\n\n\n<p class=\"has-large-font-size\">|6|\u2013|\u20134|=6\u20134=2<\/p>\n\n\n\n<p class=\"has-large-font-size\">Since the positive addend, 6, has a greater absolute value, the sum is positive.<\/p>\n\n\n\n<p class=\"has-large-font-size\">So, \u20134+6=2.<\/p>\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:#f7d5d5\"><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-3b5690eb8bbde8bb48218dc0086b88f1\" style=\"color:#b00012\">Is 96 +&nbsp;-9 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, 96, and a negative number,&nbsp;-9, the result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of 96 is 96.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-9 is 9.<\/p>\n\n\n\n<p>Since 96 has a larger magnitude and 96 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>96 +&nbsp;-9 = 87<\/p>\n\n\n\n<p>As you can see, the result is positive<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#ddf7c8\"><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-484c2450622ac19b1cbc8ef062d2c03d\" style=\"color:#b00012\">Is&nbsp;-4 \u2212&nbsp;-72 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>Since you are subtracting a negative number, add a positive number instead:<\/p>\n\n\n\n<p>-4<strong>&nbsp;\u2212&nbsp;-72<\/strong>&nbsp;=&nbsp;-4<strong>&nbsp;+&nbsp;72<\/strong><\/p>\n\n\n\n<p>Now you have a negative number,&nbsp;-4, and a positive number, 72. The result has the same sign as the number with the larger magnitude.<\/p>\n\n\n\n<p>The magnitude of&nbsp;-4 is 4.<\/p>\n\n\n\n<p>The magnitude of 72 is 72.<\/p>\n\n\n\n<p>Since 72 has a larger magnitude and 72 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 \u2212&nbsp;-72 = 68<\/p>\n\n\n\n<p>As you can see, the result is positive.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cecefb\"><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-d2c653228b5fdbe1f837a71f1bc16ae8\" style=\"color:#b00012\">Is 1 + 70 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 two positive numbers, like 1 and 70, 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>1 + 70 = 71<\/p>\n\n\n\n<p>As you can see, the result 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\/83419\/668\/138\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-8.png\" alt=\"\" class=\"wp-image-5409\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-8.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-8-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-8-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-8-400x400.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\/30806\/655\/138\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-9.png\" alt=\"\" class=\"wp-image-5410\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-9.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-9-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-9-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-9-400x400.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: find the sign key notes: An integer is a number without a fractional part. Integers can be positive, negative, or zero. You can add and subtract integers. Read on to learn how! Adding&nbsp;integers&nbsp;on&nbsp;a&nbsp;number&nbsp;line You can use a number line to add integers. Follow these steps: Adding&nbsp;a&nbsp;positive&nbsp;integer Let&#8217;s try it. Add \u20133+5.<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/j-5-add-and-subtract-integers-find-the-sign\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.5 Add and subtract integers: find the sign&#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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-165","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/165","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=165"}],"version-history":[{"count":9,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/165\/revisions"}],"predecessor-version":[{"id":15032,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/165\/revisions\/15032"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}