{"id":167,"date":"2022-04-08T05:07:48","date_gmt":"2022-04-08T05:07:48","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=167"},"modified":"2024-12-07T10:18:04","modified_gmt":"2024-12-07T10:18:04","slug":"j-6-add-and-subtract-integers-input-output-tables","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/j-6-add-and-subtract-integers-input-output-tables\/","title":{"rendered":"J.6 Add and subtract integers: input\/output tables"},"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: input\/output tables<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-26380f2117dd1a45640a8ebc11c75e45\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/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-text-color has-large-font-size\" id=\"yui_3_18_1_1_1670936539768_3031\" style=\"color:#980101\">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-text-color has-large-font-size\" id=\"yui_3_18_1_1_1670936539768_3125\" style=\"color:#000288\">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-text-color has-large-font-size\" id=\"yui_3_18_1_1_1670936539768_3078\" style=\"color:#210c0c\">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-text-color\" id=\"yui_3_18_1_1_1670936539768_3196\" style=\"color:#db5757\">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=\"has-large-font-size wp-block-list\">\n<li>If the addends have the same sign, add the absolute&nbsp;values of the addends, and give the sum that sign.<\/li>\n\n\n\n<li>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-text-color\" id=\"yui_3_18_1_1_1670936539768_3203\" style=\"color:#2a0404\">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-text-color has-large-font-size\" id=\"yui_3_18_1_1_1670936539768_3234\" style=\"color:#450c0c\">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-huge-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:#f4bfbf\"><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-a8700c9bddcd2f3f682941de98ba6f61\" style=\"color:#b00012\"><strong>Which is the rule for this table?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>In<\/td><td>Out<\/td><\/tr><tr><td>-16<\/td><td>-5<\/td><\/tr><tr><td>-15<\/td><td>-4<\/td><\/tr><tr><td>-12<\/td><td>-1<\/td><\/tr><tr><td>-11<\/td><td>0<\/td><\/tr><tr><td>-6<\/td><td>5<\/td><\/tr><tr><td>-3<\/td><td>8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 2<\/li>\n\n\n\n<li>Add 11<\/li>\n\n\n\n<li>Add 2<\/li>\n\n\n\n<li>Subtract 11<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use the rows in the table to find the rule. The rule makes each number increase, so try using addition.<\/p>\n\n\n\n<p>Start with the number in the&nbsp;<strong>In<\/strong>&nbsp;column. Figure out what positive number to add to give the value shown in the&nbsp;<strong>Out<\/strong>&nbsp;column.<\/p>\n\n\n\n<p>\u201316 + 11 = \u20135<\/p>\n\n\n\n<p>\u201315 + 11 = \u20134<\/p>\n\n\n\n<p>\u201312 + 11 = \u20131<\/p>\n\n\n\n<p>\u201311 + 11 = 0<\/p>\n\n\n\n<p>\u20136 + 11 = 5<\/p>\n\n\n\n<p>\u20133 + 11 = 8<\/p>\n\n\n\n<p>The rule is <strong>add 11<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d5fcd2\"><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-a8700c9bddcd2f3f682941de98ba6f61\" style=\"color:#b00012\"><strong>Which is the rule for this table?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>In<\/td><td>Out<\/td><\/tr><tr><td>-18<\/td><td>-20<\/td><\/tr><tr><td>-14<\/td><td>-16<\/td><\/tr><tr><td>-13<\/td><td>-15<\/td><\/tr><tr><td>-9<\/td><td>-11<\/td><\/tr><tr><td>11<\/td><td>9<\/td><\/tr><tr><td>16<\/td><td>14<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 2<\/li>\n\n\n\n<li>Add 6<\/li>\n\n\n\n<li>Subtract 6<\/li>\n\n\n\n<li>Add 2<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Use the rows in the table to find the rule. The rule makes each number decrease, so try using subtraction.<\/p>\n\n\n\n<p>Start with the number in the&nbsp;<strong>In<\/strong>&nbsp;column. Figure out what positive number to subtract to give the value shown in the&nbsp;<strong>Out<\/strong>&nbsp;column.<\/p>\n\n\n\n<p>\u201318 \u2212 2 = \u201320<\/p>\n\n\n\n<p>\u201314 \u2212 2 = \u201316<\/p>\n\n\n\n<p>\u201313 \u2212 2 = \u201315<\/p>\n\n\n\n<p>\u20139 \u2212 2 = \u201311<\/p>\n\n\n\n<p>11 \u2212 2 = 9<\/p>\n\n\n\n<p>16 \u2212 2 = 14<\/p>\n\n\n\n<p>The rule is <strong>subtract 2<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e6d5fe\"><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-480b9b30d093adbd0ce455247d4fbeee\" style=\"color:#b00012\"><strong>What is the rule for this table?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>In<\/td><td>Out<\/td><\/tr><tr><td>-11<\/td><td>-20<\/td><\/tr><tr><td>-7<\/td><td>-16<\/td><\/tr><tr><td>2<\/td><td>-7<\/td><\/tr><tr><td>6<\/td><td>-3<\/td><\/tr><tr><td>7<\/td><td>-2<\/td><\/tr><tr><td>16<\/td><td>7<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Rule: Subtract&nbsp;____<\/p>\n<\/div><\/div>\n\n\n\n<p>Use the rows in the table to find the rule. The rule uses subtraction and each number decreases, so try subtracting a positive number.<\/p>\n\n\n\n<p>Start with the number in the&nbsp;<strong>In<\/strong>&nbsp;column. Figure out what positive number to subtract to give the value shown in the&nbsp;<strong>Out<\/strong>&nbsp;column.<\/p>\n\n\n\n<p>\u201311 \u2212 9 = \u201320<\/p>\n\n\n\n<p>\u20137 \u2212 9 = \u201316<\/p>\n\n\n\n<p>2 \u2212 9 = \u20137<\/p>\n\n\n\n<p>6 \u2212 9 = \u20133<\/p>\n\n\n\n<p>7 \u2212 9 = \u20132<\/p>\n\n\n\n<p>16 \u2212 9 = 7<\/p>\n\n\n\n<p>The rule is&nbsp;<strong>subtract 9<\/strong>.<\/p>\n\n\n\n<p>Fill in the missing number to complete the rule.<\/p>\n\n\n\n<p>Rule: Subtract&nbsp;<strong>9<\/strong><\/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  !<\/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\/83420\/940\/826\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-7.png\" alt=\"\" class=\"wp-image-5406\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-7.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-7-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-7-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-7-400x400.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\/35862\/138\/691\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-8.png\" alt=\"\" class=\"wp-image-5407\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-8.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-8-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-8-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-8-400x400.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: input\/output tables 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-6-add-and-subtract-integers-input-output-tables\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.6 Add and subtract integers: input\/output tables&#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-167","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/167","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=167"}],"version-history":[{"count":14,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/167\/revisions"}],"predecessor-version":[{"id":15033,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/167\/revisions\/15033"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}