{"id":54,"date":"2022-04-12T11:58:17","date_gmt":"2022-04-12T11:58:17","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=54"},"modified":"2025-11-21T06:37:22","modified_gmt":"2025-11-21T06:37:22","slug":"d-1-identify-rational-and-irrational-numbers","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/d-1-identify-rational-and-irrational-numbers\/","title":{"rendered":"D.1 Identify rational and irrational numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Identify rational and irrational numbers<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/A.3-Identify-rational-and-irrational-numbers.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 <strong>What are Numbers?<\/strong><\/h2>\n\n\n\n<p>Numbers are symbols we use to <strong>count, measure, and label<\/strong> things.<br>They can be classified into <strong>Rational<\/strong> and <strong>Irrational<\/strong> numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">2\ufe0f\u20e3 <strong>Rational Numbers (\u2705)<\/strong><\/h2>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be written as a fraction <strong>p\/q<\/strong>, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>p<\/strong> = integer<\/li>\n\n\n\n<li><strong>q<\/strong> = non-zero integer (q \u2260 0)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udfe2 Examples of Rational Numbers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Fractions: 1\/2, -3\/4<\/li>\n\n\n\n<li>Whole numbers: 5, 0, -7<\/li>\n\n\n\n<li>Decimals that <strong>terminate or repeat<\/strong>: 0.75, 0.333\u2026<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udcdd Key Points:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 Can be written as <strong>fractions<\/strong><\/li>\n\n\n\n<li>\u2705 Decimal form <strong>terminates<\/strong> (stops) or <strong>repeats<\/strong><\/li>\n\n\n\n<li>\u2705 Can be <strong>positive or negative<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">3\ufe0f\u20e3 <strong>Irrational Numbers (\u274c)<\/strong><\/h2>\n\n\n\n<p>An <strong>irrational number<\/strong> <strong>cannot<\/strong> be written as a fraction.<br>Its decimal form <strong>never ends<\/strong> and <strong>never repeats<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd34 Examples of Irrational Numbers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u221a2, \u221a3, \u221a5<\/li>\n\n\n\n<li>\u03c0 (Pi \u2248 3.14159\u2026)<\/li>\n\n\n\n<li>e (Euler&#8217;s number \u2248 2.718\u2026)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udcdd Key Points:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u274c Cannot be written as a fraction<\/li>\n\n\n\n<li>\u274c Decimal form <strong>goes on forever<\/strong><\/li>\n\n\n\n<li>\u274c <strong>Non-repeating decimals<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">4\ufe0f\u20e3 <strong>Quick Tips to Identify \u2705 vs \u274c<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Clue<\/th><th>Rational<\/th><th>Irrational<\/th><\/tr><\/thead><tbody><tr><td>Fraction form exists?<\/td><td>\u2705 Yes<\/td><td>\u274c No<\/td><\/tr><tr><td>Decimal form?<\/td><td>\u2705 Terminates\/Repeats<\/td><td>\u274c Non-terminating\/non-repeating<\/td><\/tr><tr><td>Examples<\/td><td>2, -3, 1\/4, 0.666\u2026<\/td><td>\u221a2, \u03c0, \u221a3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">5\ufe0f\u20e3 <strong>Fun Emojis Trick to Remember<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 <strong>Rational = \u201cR for Regular\u201d<\/strong> \u2192 neat fractions, repeats nicely \u2728<\/li>\n\n\n\n<li>\u274c <strong>Irrational = \u201cI for Infinite\u201d<\/strong> \u2192 decimals never end \ud83c\udf0c<\/li>\n<\/ul>\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-52fd22f9ad237db097b3616ae7f36347\" style=\"background-color:#8feebd\"><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-38b9422e42767af21325967f8580e2ab\"><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-03ea18c466268d7aa001d53ae3873cb4\" style=\"color:#b00012\">\u27a1\ufe0f Is -1 1\/3 an irrational number?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>-1 1\/3 can be written as -4\/3 ,which is a fraction.&nbsp;So, -1 1\/3 <\/p>\n\n\n\n<p>is not an irrational number.<\/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-597a27068431fd0e6beed78ebd36bbe0\" style=\"background-color:#efc0f9\"><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-129f36312d60465cc5d9090cc17e681b\"><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-b699bd85944237d58f2a224712f0f2b0\" style=\"color:#b00012\">\u27a1\ufe0f is 5\/6 a rational number?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>5\/6 is a fraction.&nbsp;So, 5\/6 is a rational number.<\/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-6ea8d72a3e39dfa42695ec4ce3f00ed8\" style=\"background-color:#8fdcea\"><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-3269bef4e670f47c84c1ddf47cb20595\"><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-72af3814f8016f6fe9230a6068a28fd3\" style=\"color:#b00012\">\u27a1\ufe0f is -1 2\/3 a rational number?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>-1 2\/3 can be written as -5\/3 , which is a fraction.&nbsp;So, -1 2\/3 is a rational number.<\/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!\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\/78344\/222\/809\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-272.png\" alt=\"\" class=\"wp-image-9483\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-272.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-272-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-272-150x150.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\/81153\/414\/969\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-279.png\" alt=\"\" class=\"wp-image-9484\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-279.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-279-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-279-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify rational and irrational numbers Key Notes : 1\ufe0f\u20e3 What are Numbers? Numbers are symbols we use to count, measure, and label things.They can be classified into Rational and Irrational numbers. 2\ufe0f\u20e3 Rational Numbers (\u2705) A rational number is any number that can be written as a fraction p\/q, where: \ud83d\udfe2 Examples of Rational Numbers:<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/d-1-identify-rational-and-irrational-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.1 Identify rational and irrational numbers&#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-54","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\/54","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=54"}],"version-history":[{"count":17,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions"}],"predecessor-version":[{"id":22337,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions\/22337"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}