{"id":52,"date":"2022-04-12T09:24:35","date_gmt":"2022-04-12T09:24:35","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=52"},"modified":"2025-08-07T10:32:55","modified_gmt":"2025-08-07T10:32:55","slug":"c-4-complete-addition-and-subtraction-sentences-with-integers","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/c-4-complete-addition-and-subtraction-sentences-with-integers\/","title":{"rendered":"C.4 Complete addition and subtraction sentences with integers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Complete addition and subtraction sentences with integers<\/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.4-Complete-addition-and-subtraction-sentences-with-integers.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-8a76bf17455ff007f9ecff7fae579697\" style=\"color:#74008b\"><strong>Key note  :<\/strong>&#8211;<\/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>\ud83d\udd0d <strong>What Are Integers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Integers are <strong>whole numbers<\/strong> and their <strong>negatives<\/strong>, including <strong>zero<\/strong>.<br><strong>Examples:<\/strong> \u20135, \u20132, 0, 3, 8<\/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>\u2795\u2796 <strong>Addition and Subtraction of Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 <strong>Rule #1: Adding Integers<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th>Case<\/th><th>Rule<\/th><th>Example<\/th><th>Result<\/th><\/tr><\/thead><tbody><tr><td>\u2795 Both Positive<\/td><td>Add normally<\/td><td>(+6) + (+4)<\/td><td>+10<\/td><\/tr><tr><td>\u2796 Both Negative<\/td><td>Add, keep negative sign<\/td><td>(\u20133) + (\u20137)<\/td><td>\u201310<\/td><\/tr><tr><td>\u2795\u2796 One Positive, One Negative<\/td><td>Subtract and take sign of bigger number<\/td><td>(\u20138) + (+5)<\/td><td>\u20133<\/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>\u2705 <strong>Rule #2: Subtracting Integers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\ud83d\udd01 <strong>Turn Subtraction into Addition<\/strong><br>Change &#8220;\u2013&#8221; to &#8220;+&#8221; and <strong>flip the sign<\/strong> of the second number.<\/p>\n<\/blockquote>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Original<\/th><th>Convert<\/th><th>Answer<\/th><\/tr><\/thead><tbody><tr><td>9 \u2013 (\u20134)<\/td><td>9 + 4<\/td><td>13<\/td><\/tr><tr><td>\u20135 \u2013 (+3)<\/td><td>\u20135 + (\u20133)<\/td><td>\u20138<\/td><\/tr><tr><td>\u201310 \u2013 (\u20136)<\/td><td>\u201310 + 6<\/td><td>\u20134<\/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>\u270d\ufe0f <strong>How to Complete Integer Sentences<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>You\u2019re given part of a number sentence. Your job is to find the <strong>missing number<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\">\u2705 <strong>Steps to Solve:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Understand if it&#8217;s <strong>addition<\/strong> or <strong>subtraction<\/strong>.<\/li>\n\n\n\n<li>Apply rules for integers.<\/li>\n\n\n\n<li>Use <strong>inverse operations<\/strong> to find the missing number.<\/li>\n\n\n\n<li><strong>Check your answer<\/strong> by plugging it back in.<\/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>\ud83d\udccc <strong>Example 1:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>___ + (\u20135) = \u20139<\/strong><\/p>\n\n\n\n<p>\u27a4 Think: What number added to \u20135 gives \u20139?<br>\u27a4 Use inverse operation: \u20139 \u2013 (\u20135) = ?<br>\u27a4 \u20139 + 5 = \u20134<\/p>\n\n\n\n<p>\u2705 Answer: <strong>\u20134<\/strong><\/p>\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>\ud83d\udccc <strong>Example 2:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>7 \u2013 ___ = 10<\/strong><\/p>\n\n\n\n<p>\u27a4 Think: 7 minus what equals 10?<br>\u27a4 Reverse it: 7 \u2013 ? = 10 \u2192 not possible!<br>\u27a4 Try: What added to 7 gives 10?<br>\u27a4 7 + 3 = 10, so subtraction would be: <strong>7 \u2013 (\u20133) = 10<\/strong><\/p>\n\n\n\n<p>\u2705 Answer: <strong>\u20133<\/strong><\/p>\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>\ud83d\udccc <strong>Example 3:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>___ \u2013 (\u20136) = 9<\/strong><\/p>\n\n\n\n<p>\u27a4 Change to: ___ + 6 = 9<br>\u27a4 Now subtract: 9 \u2013 6 = 3<\/p>\n\n\n\n<p>\u2705 Answer: <strong>3<\/strong><\/p>\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>\ud83d\udcdd <strong>Practice Problems (Complete the blanks):<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>___ + (\u20134) = \u201310<\/li>\n\n\n\n<li>12 \u2013 ___ = 8<\/li>\n\n\n\n<li>___ \u2013 (\u20135) = 11<\/li>\n\n\n\n<li>\u20133 + ___ = \u20137<\/li>\n\n\n\n<li>___ \u2013 (+2) = \u20136<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Answers:<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u20136<\/strong><\/li>\n\n\n\n<li><strong>4<\/strong><\/li>\n\n\n\n<li><strong>6<\/strong><\/li>\n\n\n\n<li><strong>\u20134<\/strong><\/li>\n\n\n\n<li><strong>\u20134<\/strong><\/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>\ud83c\udfaf <strong>Key Takeaways:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u2705 Use number line if needed<br>\u2705 Always check using the reverse operation<br>\u2705 Be careful with <strong>double negatives<\/strong><br>\u2705 Practice makes perfect!<\/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<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:#d2f4f8\"><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 has-normal-font-size\" style=\"color:#b00012\">\u27a1\ufe0f<strong> Type the integer that makes the following addition number sentence true:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">_____+&nbsp;-5 =&nbsp;-9<\/p>\n<\/div><\/div>\n\n\n\n<p>You want to find the number that makes the addition number sentence true.<\/p>\n\n\n\n<p>Later on, you&#8217;ll learn another way of solving problems like this, but for now, there is a helpful shortcut that you can use. Look at the two numbers and ignore their signs. They are 5 and 9. Now find their sum and difference. To find the sum, add 5 and 9 to get 14. To compute the difference, subtract the smaller number, 5, from the larger number, 9, to get 4.<\/p>\n\n\n\n<p>Now you have two numbers to try: 14 and 4. If you make these two numbers negative, you&#8217;ll have another two numbers to try:&nbsp;-14 and&nbsp;-4.&nbsp;<strong>The correct answer will be one of these four numbers.<\/strong><\/p>\n\n\n\n<p>Try 14:<\/p>\n\n\n\n<p>14 +&nbsp;-5 = 9<\/p>\n\n\n\n<p>Try 4:<\/p>\n\n\n\n<p>4 +&nbsp;-5 =&nbsp;-1<\/p>\n\n\n\n<p>Try&nbsp;-14:<\/p>\n\n\n\n<p>-14 +&nbsp;-5 =&nbsp;-19<\/p>\n\n\n\n<p>Try&nbsp;-4:<\/p>\n\n\n\n<p>-4 +&nbsp;-5 =&nbsp;-9<\/p>\n\n\n\n<p>The number&nbsp;-4 makes the number sentence true, so the correct answer is&nbsp;-4.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f9f9c9\"><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\">\u27a1\ufe0f <strong>Type the integer that makes the following subtraction number sentence true:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">-7 \u2212____=&nbsp;-15<\/p>\n<\/div><\/div>\n\n\n\n<p>You want to find the number that makes the subtraction number sentence true.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Later on, you&#8217;ll learn another way of solving problems like this, but for now, there is a helpful shortcut that you can use. Look at the two numbers and ignore their signs. They are 7 and 15. Now find their sum and difference. To find the sum, add 7 and 15 to get 22. To compute the difference, subtract the smaller number, 7, from the larger number, 15, to get 8.<\/p>\n\n\n\n<p>Now you have two numbers to try: 22 and 8. If you make these two numbers negative, you&#8217;ll have another two numbers to try:&nbsp;-22 and&nbsp;-8.&nbsp;<strong>The correct answer will be one of these four numbers.<\/strong><\/p>\n\n\n\n<p>Try 22:<\/p>\n\n\n\n<p>-7 \u2212 22 =&nbsp;-29<\/p>\n\n\n\n<p>Try 8:<\/p>\n\n\n\n<p>-7 \u2212 8 =&nbsp;-15<\/p>\n\n\n\n<p>Try&nbsp;-22:<\/p>\n\n\n\n<p><sup>\u2013<\/sup>7 \u2212&nbsp;<sup>\u2013<\/sup>22 = 15<\/p>\n\n\n\n<p>Try&nbsp;-8:<\/p>\n\n\n\n<p>-7 \u2212&nbsp;-8 = 1<\/p>\n\n\n\n<p>The number 8 makes the number sentence true, so the correct answer is 8.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-diagonal-inverted-gradient-background has-background has-normal-font-size\"><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\">\u27a1\ufe0f<strong> Type the integer that makes the following addition number sentence true:<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">&nbsp;____+&nbsp;-6 =&nbsp;-8<\/p>\n<\/div><\/div>\n\n\n\n<p>You want to find the number that makes the addition number sentence true.<\/p>\n\n\n\n<p>Later on, you&#8217;ll learn another way of solving problems like this, but for now, there is a helpful shortcut that you can use. Look at the two numbers and ignore their signs. They are 6 and 8. Now find their sum and difference. To find the sum, add 6 and 8 to get 14. To compute the difference, subtract the smaller number, 6, from the larger number, 8, to get 2.<\/p>\n\n\n\n<p>Now you have two numbers to try: 14 and 2. If you make these two numbers negative, you&#8217;ll have another two numbers to try:&nbsp;-14 and&nbsp;-2.&nbsp;<strong>The correct answer will be one of these four numbers.<\/strong><\/p>\n\n\n\n<p>Try 14:<\/p>\n\n\n\n<p>14 +&nbsp;-6 = 8<\/p>\n\n\n\n<p>Try 2:<\/p>\n\n\n\n<p>2 +&nbsp;-6 =&nbsp;-4<\/p>\n\n\n\n<p>Try&nbsp;-14:<\/p>\n\n\n\n<p>-14 +&nbsp;-6 =&nbsp;-20<\/p>\n\n\n\n<p>Try&nbsp;-2:<\/p>\n\n\n\n<p>-2 +&nbsp;-6 =&nbsp;-8<\/p>\n\n\n\n<p>The number&nbsp;-2 makes the number sentence true, so the correct answer is&nbsp;-2.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-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\/35036\/253\/877\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-192.png\" alt=\"\" class=\"wp-image-7140\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-192.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-192-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-192-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-192-400x400.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\/76366\/933\/486\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-195.png\" alt=\"\" class=\"wp-image-7141\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-195.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-195-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-195-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-195-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Complete addition and subtraction sentences with integers Key note :&#8211; \ud83d\udd0d What Are Integers? \u2795\u2796 Addition and Subtraction of Integers \u2705 Rule #1: Adding Integers Case Rule Example Result \u2795 Both Positive Add normally (+6) + (+4) +10 \u2796 Both Negative Add, keep negative sign (\u20133) + (\u20137) \u201310 \u2795\u2796 One Positive, One Negative Subtract<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/c-4-complete-addition-and-subtraction-sentences-with-integers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.4 Complete addition and subtraction sentences with 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,"footnotes":""},"class_list":["post-52","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52","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=52"}],"version-history":[{"count":19,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52\/revisions"}],"predecessor-version":[{"id":16645,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/52\/revisions\/16645"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=52"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}