{"id":54,"date":"2022-04-12T09:24:59","date_gmt":"2022-04-12T09:24:59","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=54"},"modified":"2025-08-07T10:49:29","modified_gmt":"2025-08-07T10:49:29","slug":"c-5-add-and-subtract-integers-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.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<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add and subtract integers: word problems<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/7thclass.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-huge-font-size wp-elements-6c05a1d45afc4903778496ed08a72a86\" 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 has-normal-font-size\">\n<li><strong>Integers<\/strong> are whole numbers that can be positive, negative, or zero.<\/li>\n\n\n\n<li><strong>Examples:<\/strong> -5, -2, 0, 3, 8, etc.<\/li>\n\n\n\n<li>Integers are represented on a number line, where positive integers are to the right of zero, and negative integers are to the left.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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>\u270f\ufe0f <strong>When Do We Use Integers in Word Problems?<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>We use integers in word problems that involve:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Gains and losses<\/strong> (e.g., money)<\/li>\n\n\n\n<li><strong>Temperature increase or decrease<\/strong><\/li>\n\n\n\n<li><strong>Elevation rise or fall<\/strong><\/li>\n\n\n\n<li><strong>Scoring in games<\/strong> (points added or deducted)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\u2705 <strong>Keywords That Show Integer Operations:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Situation<\/th><th>Operation<\/th><th>Example<\/th><\/tr><\/thead><tbody><tr><td>Gained, Increased, Rose, Deposited<\/td><td>\u2795 Add<\/td><td>Gained \u20b9100 \u2192 +100<\/td><\/tr><tr><td>Lost, Decreased, Fell, Spent, Below<\/td><td>\u2796 Subtract<\/td><td>Lost \u20b950 \u2192 \u201350<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>Addition of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>When adding two positive integers<\/strong>, the sum is positive:<br><strong>Example:<\/strong> 5+3=8<\/li>\n\n\n\n<li><strong>When adding two negative integers<\/strong>, the sum is negative:<br><strong>Example:<\/strong> \u22124+(\u22126)=\u221210<\/li>\n\n\n\n<li><strong>When adding a positive and a negative integer<\/strong>, subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.<br><strong>Example: <\/strong>7+(\u22124)=3 (positive) <\/li>\n\n\n\n<li><strong>Example:<\/strong> \u22127+4=\u22123 (negative)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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>Subtraction of Integers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Subtraction is the same as adding the opposite<\/strong>:<br><strong>Example:<\/strong> 5\u22123 is the same as 5+(\u22123)=2<\/li>\n\n\n\n<li><strong>When subtracting a negative integer<\/strong>, it is like adding the positive equivalent:<br><strong>Example: <\/strong>7\u2212(\u22124)=7+4=11<\/li>\n\n\n\n<li><strong>When subtracting a positive integer from a negative integer<\/strong>, subtract the smaller number from the larger number and keep the sign of the larger integer:<br><strong>Example:<\/strong> \u22125\u22123=\u22128<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\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<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Identifying key terms<\/strong>: Pay attention to words like <strong>gain<\/strong>, <strong>loss<\/strong>, <strong>increase<\/strong>, and <strong>decrease<\/strong> which help determine the signs (positive or negative).<\/p>\n\n\n\n<p><strong>Context<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the problem talks about a <strong>gain<\/strong> or <strong>increase<\/strong>, use positive numbers.<\/li>\n\n\n\n<li>If it talks about a <strong>loss<\/strong> or <strong>decrease<\/strong>, use negative numbers<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><\/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>\ud83d\udcd0 <strong>Steps to Solve Word Problems:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Read<\/strong> the problem carefully.<\/li>\n\n\n\n<li><strong>Identify<\/strong> the integers involved (positive or negative).<\/li>\n\n\n\n<li><strong>Determine<\/strong> if you are adding or subtracting.<\/li>\n\n\n\n<li><strong>Solve<\/strong> using integer rules.<\/li>\n\n\n\n<li><strong>Write<\/strong> a final statement\/answer.<\/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>\ud83d\udcdd <strong>Practice Word Problems:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The temperature was \u20136\u00b0C. It increased by 11\u00b0C. What is the new temperature?<\/li>\n\n\n\n<li>A diver is 100 m below sea level. He dives down another 80 m. Where is he now?<\/li>\n\n\n\n<li>You gain 50 points in a game, then lose 65 points. What is your final score?<\/li>\n\n\n\n<li>An account has \u20b91,000. After spending \u20b91,200, what is the balance?<\/li>\n\n\n\n<li>The elevation increased by 150 m, then dropped by 210 m. What is the net change?<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\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>\u2705 <strong>Answers:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>5\u00b0C<\/li>\n\n\n\n<li>\u2013180 m<\/li>\n\n\n\n<li>\u201315 points<\/li>\n\n\n\n<li>\u20b9\u2013200<\/li>\n\n\n\n<li>\u201360 m<\/li>\n<\/ol>\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-normal-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 has-normal-font-size wp-elements-95c5b44ff4fb97a80eb237c2ff4372b9\" style=\"background-color:#cffcc9\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0fMarvin started the week with&nbsp;\u20b9200,000 in his bank account. At the end of the week, his balance was&nbsp;\u20b9600,000. Which integer represents the change in Marvin&#8217;s bank account balance?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-text-color has-link-color wp-elements-98655762655db6e86fbd469082f42b56\" style=\"color:#b00012\">500,000 <\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-d226a7928e090e41662c01581e21b01c\" style=\"color:#b00012\">400,000<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-c2ae42934c563041a93dba63e26fc555\" style=\"color:#b00012\">\u2013500,000<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-cdb1cc16d8a4be79ee4cf261126cea4d\" style=\"color:#b00012\">\u2013400,000<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p><strong>Subtract<\/strong>:<br>600,000 \u2212 200,000 = 400,000<br>Marvin had \u20b9400,000 more. The integer 400,000 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-eb86f4c88b87f424363b6942c4a3f906\" style=\"background-color:#f5edcc\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f At the Brookfield Golf Tournament, the leaderboard shows Emmett&#8217;s score as 3 on the front nine and 6 on the back nine. What was Emmett&#8217;s total score for the rounds?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-text-color has-link-color wp-elements-71e9ad10672ab8232a09b3b392633277\" style=\"color:#d90000\">-10<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-d9831c5f05068c1aa0bb5724ef93cb96\" style=\"color:#d90000\">-9<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-4f15a8471c643efef6ec39067b3034b2\" style=\"color:#d90000\">10<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-83f3c1226d6062c6219d45fe9947561b\" style=\"color:#d90000\">9<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Add:<\/p>\n\n\n\n<p>3 + 6 = 9<\/p>\n\n\n\n<p>Emmett&#8217;s total score was 9. The integer 9 represents this situation..<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-normal-font-size wp-elements-c900227037453b3031eebd3c93226305\" style=\"background-color:#bdffcd\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>While hiking, Jaylen went up 200 metres. If Jaylen started at 700 metres above sea level, which integer represents his elevation now?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-text-color has-link-color wp-elements-4a71eb8d8a56966077dc004646ca181e\" style=\"color:#d90000\">\u2013900 <\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-1e931c4c1e94d3e20995ae2a179caf03\" style=\"color:#d90000\">800<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-98f3f789744a24b0aadb3778928f1e0d\" style=\"color:#d90000\">\u2013800<\/li>\n\n\n\n<li class=\"has-text-color has-link-color wp-elements-4994b4cf29fc362da74158b97546448e\" style=\"color:#d90000\"> 900<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Add:<br>700 + 200 = 900<br>Jaylen is now 900 metres above sea level. The integer 900 represents this situation.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#d90000\"><strong>Try some practice problems!<\/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\/76365\/035\/717\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-193.png\" alt=\"\" class=\"wp-image-7144\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-193.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-193-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-193-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-193-400x400.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\/76367\/885\/516\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-196.png\" alt=\"\" class=\"wp-image-7146\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-196.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-196-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-196-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-196-400x400.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: word problems Key notes :- Understanding Integers \u270f\ufe0f When Do We Use Integers in Word Problems? We use integers in word problems that involve: \u2705 Keywords That Show Integer Operations: Situation Operation Example Gained, Increased, Rose, Deposited \u2795 Add Gained \u20b9100 \u2192 +100 Lost, Decreased, Fell, Spent, Below \u2796 Subtract Lost<a class=\"more-link\" href=\"https:\/\/7thclass.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,"footnotes":""},"class_list":["post-54","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54","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=54"}],"version-history":[{"count":22,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions"}],"predecessor-version":[{"id":16650,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions\/16650"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}