{"id":44,"date":"2022-04-12T11:56:42","date_gmt":"2022-04-12T11:56:42","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=44"},"modified":"2025-08-21T07:10:35","modified_gmt":"2025-08-21T07:10:35","slug":"c-5-add-and-subtract-integers-word-problems","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/c-5-add-and-subtract-integers-word-problems\/","title":{"rendered":"C.5 Add and subtract integers: word problems"},"content":{"rendered":"\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<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\">Add and subtract integers: word problems<\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/class-7-C.5-Add-and-subtract-integers_-word-problems.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-4ef11e7f66093b4cd1c21f2617b5d0d3\" 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>Understanding Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Integers:<\/strong> Integers are whole numbers that can be positive, negative, or zero.<\/li>\n\n\n\n<li><strong>Positive Integers:<\/strong> Integers greater than zero, represented by numbers without a minus sign (e.g., 1, 2, 3).<\/li>\n\n\n\n<li><strong>Negative Integers:<\/strong> Integers less than zero, represented by numbers with a minus sign (e.g., -1, -2, -3).<\/li>\n\n\n\n<li><strong>Zero:<\/strong> The integer that is neither positive nor negative.<\/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>Word Problems Involving Addition and Subtraction of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Temperature:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: The temperature was -5\u00b0C in the morning. It rose by 8\u00b0C during the day. What is the temperature now?<\/li>\n<\/ul>\n\n\n\n<p><strong>Money:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: You have $20. You spend $12 on a book and $5 on a snack. How much money do you have left?<\/li>\n<\/ul>\n\n\n\n<p><strong>Elevation:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: A hiker is at an elevation of 1200 meters. They climb 300 meters higher and then descend 400 meters. What is their final elevation?<\/li>\n<\/ul>\n\n\n\n<p><strong>Games:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: In a card game, you gain 5 points on one turn and lose 3 points on the next turn. What is your total score?<\/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>Steps to Solve Word Problems:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the operations:<\/strong> Determine whether the problem involves addition or subtraction.<\/li>\n\n\n\n<li><strong>Assign integers:<\/strong> Assign positive or negative integers to represent the quantities in the problem.<\/li>\n\n\n\n<li><strong>Perform the operation:<\/strong> Add or subtract the integers as indicated in the problem.<\/li>\n\n\n\n<li><strong>Interpret the result:<\/strong> Make sure the answer is reasonable and matches the context of the problem.<\/li>\n<\/ol>\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>Example:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A submarine is at a depth of -200 meters. It rises 50 meters. What is its new depth?<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the operation:<\/strong> This problem involves addition.<\/li>\n\n\n\n<li><strong>Assign integers:<\/strong> -200 represents the initial depth, and 50 represents the rise.<\/li>\n\n\n\n<li><strong>Perform the operation:<\/strong> -200 + 50 = -150<\/li>\n\n\n\n<li><strong>Interpret the result:<\/strong> The submarine&#8217;s new depth is -150 meters.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-huge-font-size wp-elements-b9a4d2dbd2b5893137fb321e43f2d55d\" 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:#a4f0bc\"><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-0d79e73e8fe1935d377a2177023ce5b3\" style=\"color:#b00012\">\u27a1\ufe0f The leaderboard at the Yardley Golf Tournament shows that Lucia&#8217;s score is 8 and Ron&#8217;s score is 4. How many more strokes did Lucia take than Ron?<\/p>\n\n\n\n<p>Subtract:<\/p>\n\n\n\n<p>8 \u2212 4 = 4<\/p>\n\n\n\n<p>Lucia took 4 more strokes than Ron. The integer 4 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f4a6e7\"><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 has-normal-font-size wp-elements-a6ffb5911e6edd1b47adcb3c6da978b4\" style=\"color:#b00012\">\u27a1\ufe0f Keenan started the week with&nbsp;\u20b910,000 in his bank account. Then he deposited&nbsp;\u20b940,000 he earned from a garage sale. Which integer represents the final balance of the bank account?<\/p>\n\n\n\n<p>Add:<\/p>\n\n\n\n<p>10,000 + 40,000 = 50,000<\/p>\n\n\n\n<p>The final balance was&nbsp;\u20b950,000. The integer 50,000 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#a3c4f8\"><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-be772d3aacd1e9306412c1c697344aac\" style=\"color:#b00012\">\u27a1\ufe0f From 700 meters above sea level, Jane took off in her helicopter and ascended 200 meters. Which integer represents Jane&#8217;s elevation now?<\/p>\n\n\n\n<p>Add:<\/p>\n\n\n\n<p>700 + 200 = 900<\/p>\n\n\n\n<p>Jane is now 900 meters above sea level. The integer 900 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#89eff2\"><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 has-normal-font-size\"><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-c4c31a128e3468413bf60a695344bfab\" style=\"color:#b00012\">\u27a1\ufe0f The leaderboard at the Hampton Golf Tournament shows that Doug&#8217;s score was&nbsp;-3 on Saturday and&nbsp;-3 on Sunday. How many more strokes did Doug take on Saturday than on Sunday?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2<\/li>\n\n\n\n<li>1<\/li>\n\n\n\n<li>0<\/li>\n\n\n\n<li>6<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Subtract:<\/p>\n\n\n\n<p>\u20133 \u2212 \u20133 = 0<\/p>\n\n\n\n<p>Doug took 0 more strokes on Saturday. The integer 0 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f <\/strong><\/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\/76322\/964\/239\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-230.png\" alt=\"\" class=\"wp-image-9337\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-230.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-230-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-230-150x150.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\/33811\/424\/535\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-236.png\" alt=\"\" class=\"wp-image-9338\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-236.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-236-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-236-150x150.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 and subtract integers: word problems Key notes : Understanding Integers Word Problems Involving Addition and Subtraction of Integers Temperature: Money: Elevation: Games: Steps to Solve Word Problems: Example: A submarine is at a depth of -200 meters. It rises 50 meters. What is its new depth? Learn with an example \u27a1\ufe0f The leaderboard at<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/c-5-add-and-subtract-integers-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.5 Add and subtract integers: word problems&#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-44","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=44"}],"version-history":[{"count":23,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44\/revisions"}],"predecessor-version":[{"id":21282,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/44\/revisions\/21282"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=44"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}