{"id":205118,"date":"2025-03-24T06:33:44","date_gmt":"2025-03-24T06:33:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205118"},"modified":"2025-03-24T06:33:46","modified_gmt":"2025-03-24T06:33:46","slug":"which-of-the-following-are-rational-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/24\/which-of-the-following-are-rational-numbers\/","title":{"rendered":"Which of the following are rational numbers"},"content":{"rendered":"\n<p>Which of the following are rational numbers? Select all correct answers. Select all that apply:<\/p>\n\n\n\n<p>0.1212212221\u2026<br>1.5<br>11\/7<br>0.8080080008<br>-2<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answers:<\/strong><\/h3>\n\n\n\n<p>The rational numbers from the given list are:<br>\u2705 <strong>1.5<\/strong><br>\u2705 <strong>11\/7<\/strong><br>\u2705 <strong>-2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be expressed as a fraction <strong>p\/q<\/strong>, where <strong>p<\/strong> and <strong>q<\/strong> are integers, and <strong>q \u2260 0<\/strong>. This includes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Integers<\/strong> (like -2, 0, 3, etc.) because they can be written as fractions (e.g., -2 = -2\/1).<\/li>\n\n\n\n<li><strong>Finite decimals<\/strong> (like 1.5) since they can be converted to fractions (1.5 = 3\/2).<\/li>\n\n\n\n<li><strong>Repeating decimals<\/strong> with a clear repeating pattern, as they can be represented as fractions.<\/li>\n<\/ul>\n\n\n\n<p>Now, let&#8217;s analyze each number:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>0.1212212221\u2026<\/strong> \u274c<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This number <strong>does not<\/strong> have a repeating pattern, making it an <strong>irrational number<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>1.5<\/strong> \u2705<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This can be written as <strong>3\/2<\/strong>, which is a rational number.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>11\/7<\/strong> \u2705<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This is already in fraction form, so it&#8217;s clearly a rational number.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>0.8080080008\u2026<\/strong> \u274c<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This does <strong>not<\/strong> have a repeating pattern, so it is <strong>irrational<\/strong>.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>-2<\/strong> \u2705<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Any integer is rational because it can be written as a fraction, <strong>-2\/1<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the rational numbers from the given options are <strong>1.5, 11\/7, and -2<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1210.png\" alt=\"\" class=\"wp-image-205119\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following are rational numbers? Select all correct answers. Select all that apply: 0.1212212221\u20261.511\/70.8080080008-2 The correct answer and explanation is : Correct Answers: The rational numbers from the given list are:\u2705 1.5\u2705 11\/7\u2705 -2 Explanation: A rational number is any number that can be expressed as a fraction p\/q, where p and q [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-205118","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=205118"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205118\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}