{"id":271910,"date":"2025-07-26T13:27:41","date_gmt":"2025-07-26T13:27:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271910"},"modified":"2025-07-26T13:27:44","modified_gmt":"2025-07-26T13:27:44","slug":"circle-the-rational-numbers-0","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/circle-the-rational-numbers-0\/","title":{"rendered":"Circle the RATIONAL numbers 0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-802.png\" alt=\"\" class=\"wp-image-272325\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The rational numbers in the image are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.3<\/strong>\u00a0(with a bar over the 3)<\/li>\n\n\n\n<li><strong>-2<\/strong><\/li>\n\n\n\n<li><strong>22\/6<\/strong><\/li>\n\n\n\n<li><strong>11.23654<\/strong>\u00a0(with a bar over the 4)<\/li>\n\n\n\n<li><strong>3 1\/2<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A rational number is any number that can be expressed as a fraction, or ratio, in the form p\/q, where p and q are both integers and the denominator, q, is not zero. There are several clear indicators to help identify them.<\/p>\n\n\n\n<p>The numbers from the list that fit this definition are rational for the following reasons. The number&nbsp;<strong>0.3<\/strong>&nbsp;with a bar over the 3 represents the repeating decimal 0.333&#8230;, which is equivalent to the fraction 1\/3. All repeating decimals are rational. The number&nbsp;<strong>-2<\/strong>&nbsp;is an integer, and all integers are rational because they can be written as a fraction with a denominator of 1, in this case, -2\/1. The number&nbsp;<strong>22\/6<\/strong>&nbsp;is already presented as a fraction of two integers, so it is rational by definition. The mixed number&nbsp;<strong>3 1\/2<\/strong>&nbsp;is also rational because it can be converted into the improper fraction 7\/2. Finally,&nbsp;<strong>11.23654<\/strong>&nbsp;with a bar over the 4 represents 11.2365444&#8230;, which is a repeating decimal and therefore a rational number.<\/p>\n\n\n\n<p>The remaining numbers are irrational. An irrational number cannot be expressed as a simple fraction, and its decimal representation continues infinitely without any repeating pattern.&nbsp;<strong>Pi (\u03c0)<\/strong>&nbsp;is the most famous example of an irrational number. The numbers&nbsp;<strong>90.790170&#8230;<\/strong>&nbsp;and&nbsp;<strong>82.208701&#8230;<\/strong>&nbsp;are also irrational. The ellipsis (&#8230;) indicates that their decimals continue forever, and since there is no repeating bar, we assume the digits do not form a repeating pattern.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2147.jpeg\" alt=\"\" class=\"wp-image-272326\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The rational numbers in the image are: A rational number is any number that can be expressed as a fraction, or ratio, in the form p\/q, where p and q are both integers and the denominator, q, is not zero. There are several clear indicators to help identify them. [&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-271910","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271910","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=271910"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271910\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}