{"id":76,"date":"2022-04-12T12:02:09","date_gmt":"2022-04-12T12:02:09","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=76"},"modified":"2025-02-22T15:46:08","modified_gmt":"2025-02-22T15:46:08","slug":"e-4-apply-addition-and-subtraction-rules","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/e-4-apply-addition-and-subtraction-rules\/","title":{"rendered":"E.4 Apply addition and subtraction rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Apply addition and subtraction rules<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ab8376a8ebfb22772ef7356f8b60e696\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-dc83ccd73061394687f0e93411665b7e\" style=\"color:#000060\"><strong>Addition and Subtraction of Integers<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Same signs: Add the absolute values and keep the sign.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example:<\/strong> (\u22125) + (\u22123) = \u22128<\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Different signs: Subtract the smaller absolute value from the larger and take the sign of the larger.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example: <\/strong>(\u22127) + 4 = \u22123<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-a007c49bd1c24c64ca53b4d59b2611a0\" style=\"color:#000060\"><strong>Addition and Subtraction of Fractions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Same denominators: Add or subtract the numerators, keep the denominator.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example:<\/strong> 3\/5 + 2\/5 = 5\/5 = 1<\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Different denominators: Find the least common denominator (LCD), adjust fractions, then add\/subtract.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example:<\/strong> 1\/4 + 1\/6 = 3\/12 + 2\/12 = 5\/12<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-53e610b8acb28f631b0cd362aa70fcba\" style=\"color:#000060\"><strong>Addition and Subtraction of Decimals<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Align decimal points before adding or subtracting.<\/li>\n\n\n\n<li>Use place value to ensure correct calculations.<\/li>\n\n\n\n<li><strong>Example:<\/strong> 3.2 + 0.45 = 3.65<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-fb6c5ae3c39f403365b0aae88363f834\" style=\"color:#000060\"><strong>Adding and Subtracting Positive and Negative Numbers<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>A negative sign before a number means subtraction.<\/li>\n\n\n\n<li>Subtracting a negative number is the same as adding its positive counterpart.\n<ul class=\"wp-block-list\">\n<li><strong>Example: <\/strong>6 \u2212 (\u22123) = 6 + 3 = 9<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-0555ce119f4fda8754edfb956a7d17c6\" style=\"color:#000060\"><strong>Order of Operations (BODMAS\/PEMDAS)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Follow the order: <strong>Brackets, Orders (exponents), Division &amp; Multiplication, Addition &amp; Subtraction<\/strong>.<\/li>\n\n\n\n<li><strong>Example:<\/strong> 5 + 3 \u00d7 2 = 5 + 6 = 11 (Multiplication first)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-668bdf851e20898e5c3391da7f58986a\" style=\"color:#000060\"><strong>Applying Addition and Subtraction in Word Problems<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Identify keywords:<\/p>\n\n\n\n<p class=\"has-large-font-size\">&#8220;Increased by,&#8221; &#8220;more than&#8221; \u2192 Addition<\/p>\n\n\n\n<p class=\"has-large-font-size\">&#8220;Decreased by,&#8221; &#8220;less than&#8221; \u2192 Subtraction<\/p>\n\n\n\n<p class=\"has-large-font-size\">Convert words into equations before solving.<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-ae99e64c7fb02471dab14942ef7120d5\" style=\"background-color:#fbd5d5\"><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-background-background-color has-text-color has-background has-link-color wp-elements-9e2462516128e1d6346d4cbb26d6e209\"><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-39bf10a6335f1c335f85a973e72c01fa\" style=\"color:#b00012\"><strong>\ud83c\udfaf The number line shows an unknown number, y.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-87b4fb2ed011ab8237775a4700235d1e\" style=\"color:#b00012\"><strong>Is \u2013y positive or negative?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-15.png\" alt=\"\" class=\"wp-image-10006\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-15.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-15-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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>The unknown number y is to the left of 0. So, y is negative.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1.png\" alt=\"\" class=\"wp-image-10007\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design-removebg-preview-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>The opposite of a negative number is positive. So, \u2013y is positive.<\/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-large-font-size wp-elements-dfd6dbb4156e93089314bbe20bc7638e\" style=\"background-color:#f8c8f7\"><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-background-background-color has-text-color has-background has-link-color wp-elements-d54abde1dc292a48aea1c8188edd792c\"><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-0cdb85763d841af7e005871ca98e1f29\" style=\"color:#b00012\"><strong>\ud83c\udfaf The number line shows an unknown number, q.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b915c519ca90f8ca5efb5cb8d3b4d506\" style=\"color:#b00012\"><strong>Is&nbsp;q positive or&nbsp;negative?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1.png\" alt=\"\" class=\"wp-image-10010\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-1-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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>The unknown number q is to the right of 0. So, q is positive.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-10011\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-3.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__1_-removebg-preview-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-33eac731e292424c57408bb1c67d7321\" style=\"background-color:#d3f9fb\"><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-background-background-color has-text-color has-background has-link-color wp-elements-1cbcad87651d0ac484085288abb26fe9\"><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-981f777d85663a662f41206758f4900e\" style=\"color:#b00012\"><strong>\ud83c\udfaf The number line shows an unknown number, a.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-96bba208d2045dc21219a273ac344fbf\" style=\"color:#b00012\"><strong>Is&nbsp;a positive or&nbsp;negative?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2.png\" alt=\"\" class=\"wp-image-10012\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled-design-2-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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>The unknown number a is to the right of 0. So, a is positive.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-10013\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-3.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Untitled_design__2_-removebg-preview-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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\/80681\/862\/472\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-284.png\" alt=\"\" class=\"wp-image-9530\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-284.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-284-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-284-150x150.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\/85121\/957\/304\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-291.png\" alt=\"\" class=\"wp-image-9531\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-291.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-291-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-291-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Apply addition and subtraction rules Key notes: Addition and Subtraction of Integers Example: (\u22125) + (\u22123) = \u22128 Example: (\u22127) + 4 = \u22123 Addition and Subtraction of Fractions Example: 3\/5 + 2\/5 = 5\/5 = 1 Example: 1\/4 + 1\/6 = 3\/12 + 2\/12 = 5\/12 Addition and Subtraction of Decimals Adding and Subtracting<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/e-4-apply-addition-and-subtraction-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.4 Apply addition and subtraction rules&#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-76","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\/76","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=76"}],"version-history":[{"count":24,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/76\/revisions"}],"predecessor-version":[{"id":19909,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/76\/revisions\/19909"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=76"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}