{"id":22,"date":"2022-04-12T04:31:10","date_gmt":"2022-04-12T04:31:10","guid":{"rendered":"http:\/\/4thclass.deltapublications.in\/?page_id=22"},"modified":"2025-08-19T09:21:05","modified_gmt":"2025-08-19T09:21:05","slug":"a-6-even-or-odd-arithmetic-rules","status":"publish","type":"page","link":"https:\/\/4thclass.deltapublications.in\/index.php\/a-6-even-or-odd-arithmetic-rules\/","title":{"rendered":"A.6 Even or odd: arithmetic rules"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-large-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Even or odd: arithmetic rules<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGv8JqvTcA\/lPvtat_H8ITg9RArs7M3Ag\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGv8JqvTcA&#x2F;lPvtat_H8ITg9RArs7M3Ag&#x2F;watch?utm_content=DAGv8JqvTcA&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">4th Class &#8211; Even or odd: arithmetic rules<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-bb6f40da573f12ef255d1faaf429926d\" style=\"color:#74008b\">key notes:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000020\"><tbody><tr><td>\ud83d\udd22 <strong> What Are Even and Odd Numbers?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Ends With<\/th><th>Examples<\/th><th>Can it be split into 2 equal groups?<\/th><\/tr><\/thead><tbody><tr><td>Even<\/td><td>0, 2, 4, 6, 8<\/td><td>12, 28, 40, 102<\/td><td>\u2705 Yes \u2013 No remainder<\/td><\/tr><tr><td>Odd<\/td><td>1, 3, 5, 7, 9<\/td><td>13, 29, 47, 101<\/td><td>\u274c No \u2013 1 leftover<\/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>\ud83c\udfaf <strong>Tip<\/strong>: Look at the <strong>ones digit<\/strong> to decide if a number is even or odd!<\/p>\n<\/blockquote>\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:#000020\"><tbody><tr><td>\u2795<strong>Rules for Addition and Subtraction<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Rule<\/th><th>Result<\/th><th>Example<\/th><th>Answer<\/th><\/tr><\/thead><tbody><tr><td>Even + Even<\/td><td>Even<\/td><td>4 + 6<\/td><td>10 (Even)<\/td><\/tr><tr><td>Odd + Odd<\/td><td>Even<\/td><td>3 + 5<\/td><td>8 (Even)<\/td><\/tr><tr><td>Even + Odd \/ Odd + Even<\/td><td>Odd<\/td><td>2 + 3 or 5 + 4<\/td><td>5 \/ 9 (Odd)<\/td><\/tr><tr><td>Even \u2013 Even<\/td><td>Even<\/td><td>10 \u2212 2<\/td><td>8 (Even)<\/td><\/tr><tr><td>Odd \u2013 Odd<\/td><td>Even<\/td><td>7 \u2212 3<\/td><td>4 (Even)<\/td><\/tr><tr><td>Even \u2013 Odd \/ Odd \u2013 Even<\/td><td>Odd<\/td><td>8 \u2212 3 or 7 \u2212 2<\/td><td>5 (Odd)<\/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>\ud83e\udde0 <strong>Rule of Thumb<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Same types<\/strong> (even+even \/ odd+odd) = <strong>Even<\/strong><\/li>\n\n\n\n<li><strong>Different types<\/strong> (even+odd) = <strong>Odd<\/strong><\/li>\n<\/ul>\n<\/blockquote>\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:#000020\"><tbody><tr><td>\u2716\ufe0f <strong>Rules for Multiplication<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Rule<\/th><th>Result<\/th><th>Example<\/th><th>Answer<\/th><\/tr><\/thead><tbody><tr><td>Even \u00d7 Even<\/td><td>Even<\/td><td>2 \u00d7 6<\/td><td>12 (Even)<\/td><\/tr><tr><td>Even \u00d7 Odd \/ Odd \u00d7 Even<\/td><td>Even<\/td><td>2 \u00d7 5 or 7 \u00d7 4<\/td><td>10 \/ 28 (Even)<\/td><\/tr><tr><td>Odd \u00d7 Odd<\/td><td>Odd<\/td><td>3 \u00d7 5<\/td><td>15 (Odd)<\/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\udd0d <strong>Why?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Even numbers have 2 as a factor<\/strong>, so product becomes even.<\/li>\n\n\n\n<li><strong>Odd \u00d7 Odd = Odd<\/strong>, only when <strong>no even number is involved.<\/strong><\/li>\n<\/ul>\n<\/blockquote>\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:#000020\"><tbody><tr><td>\ud83d\udd04 <strong>Rules for Division (Simple Cases)<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Even \u00f7 2 \u2192 <strong>Even or Odd<\/strong> (Depends on the number)<br>Example: 8 \u00f7 2 = 4 (Even), 6 \u00f7 2 = 3 (Odd)<\/li>\n\n\n\n<li>Odd \u00f7 2 \u2192 <strong>Not whole number<\/strong><br>Example: 5 \u00f7 2 = 2.5 \u274c (Not even or odd)<\/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:#000020\"><tbody><tr><td>\ud83d\udcdd <strong>Practice Time!<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\ud83d\udc49 Decide if the result is <strong>Even or Odd<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>8 + 6 = _______<\/li>\n\n\n\n<li>9 + 5 = _______<\/li>\n\n\n\n<li>7 \u00d7 3 = _______<\/li>\n\n\n\n<li>4 \u00d7 5 = _______<\/li>\n\n\n\n<li>10 \u2212 4 = _______<\/li>\n\n\n\n<li>27 + 16 = _______<\/li>\n\n\n\n<li>11 \u00d7 11 = _______<\/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:#000020\"><tbody><tr><td>\ud83e\udde0 <strong> Quick Recap with Logic<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Even numbers = multiples of 2<\/strong><\/li>\n\n\n\n<li><strong>Odd numbers = 1 more or 1 less than a multiple of 2<\/strong><\/li>\n\n\n\n<li>Multiplying with an <strong>even always gives even<\/strong><\/li>\n\n\n\n<li>Adding <strong>same type<\/strong> gives <strong>even<\/strong>, different types gives <strong>odd<\/strong><\/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:#000020\"><tbody><tr><td>\ud83c\udfb2 <strong>Real-Life Fun<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">\ud83d\ude97 Counting wheels on cars (4), bikes (2), autos (3)&#8230; what are they?<\/p>\n\n\n\n<p>\ud83c\udfae Number of players in a game \u2013 even teams?<\/p>\n\n\n\n<p>\ud83c\udf4e Sharing apples between friends \u2013 can they be shared equally?<\/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-background has-normal-font-size\" style=\"background-color:#e4dbfb\"><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 has-normal-font-size wp-elements-ef99932004147883985e3ae19b2e0cb1\" style=\"color:#b00012\">\u25b6\ufe0f Is 6 + 90 even or odd?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">even<\/li>\n\n\n\n<li>odd<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">6 is even. 90 is even.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Use the rule:<br>even + even = even<\/p>\n\n\n\n<p class=\"has-normal-font-size\">6 + 90 is even.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Now check your answer by doing the maths.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">6 + 90 = 96<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Yes, the answer is even. 96 ends in a 6, which makes it even.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#fafccc\"><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 has-normal-font-size wp-elements-bab8eebfedf6c8b0b059d6601b5c1d54\" style=\"color:#b00012\">\u25b6\ufe0f When you divide 21 by 7, you get a whole number. Is this number even or odd?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">even<\/li>\n\n\n\n<li class=\"has-normal-font-size\">odd<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">21 is odd. 7 is odd.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Use the rule:<br>odd \u00f7 odd = odd<\/p>\n\n\n\n<p class=\"has-normal-font-size\">21 \u00f7 7 is odd.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Now check your answer by doing the maths.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">21 \u00f7 7 = 3<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Yes, the answer is odd. 3 is an odd number.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c0f7d3\"><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 has-normal-font-size wp-elements-52183f08c5ff4c67bba0c17fbfe39942\" style=\"color:#b00012\">\u25b6\ufe0f Is 85 \u2212 13 even or odd?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>even<\/li>\n\n\n\n<li class=\"has-normal-font-size\">odd<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">85 is odd. 13 is odd.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Use the rule:<br>odd \u2212 odd = even<\/p>\n\n\n\n<p class=\"has-normal-font-size\">85 \u2212 13 is even.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Now check your answer by doing the maths.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">85 \u2212 13 = 72<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Yes, the answer is even. 72 ends in a 2, which makes it even.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/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\/75639\/489\/613\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-2.png\" alt=\"\" class=\"wp-image-6129\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-2.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-2-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-2-150x150.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\/33597\/708\/914\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-2.png\" alt=\"\" class=\"wp-image-6130\" srcset=\"https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-2.png 500w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-2-300x300.png 300w, https:\/\/4thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Even or odd: arithmetic rules 4th Class &#8211; Even or odd: arithmetic rules by Delta publications key notes: \ud83d\udd22 What Are Even and Odd Numbers? Type Ends With Examples Can it be split into 2 equal groups? Even 0, 2, 4, 6, 8 12, 28, 40, 102 \u2705 Yes \u2013 No remainder Odd 1, 3,<a class=\"more-link\" href=\"https:\/\/4thclass.deltapublications.in\/index.php\/a-6-even-or-odd-arithmetic-rules\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.6 Even or odd: arithmetic 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-22","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":22,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":15807,"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/22\/revisions\/15807"}],"wp:attachment":[{"href":"https:\/\/4thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}