{"id":30910,"date":"2025-06-21T20:45:25","date_gmt":"2025-06-21T20:45:25","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=30910"},"modified":"2025-06-21T20:45:26","modified_gmt":"2025-06-21T20:45:26","slug":"use-the-list-below-to-classify-all-the-subsets-of-real-numbers-to-which-the-number-29-belongs","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/use-the-list-below-to-classify-all-the-subsets-of-real-numbers-to-which-the-number-29-belongs\/","title":{"rendered":"Use the list below to classify all the subsets of real numbers to which the number &#8220;-29&#8221; belongs"},"content":{"rendered":"\n<p>Use the list below to classify all the subsets of real numbers to which the number &#8220;-29&#8221; belongs. &#8211; Real numbers &#8211; Irrational numbers &#8211; Rational numbers &#8211; Integers &#8211; Whole numbers &#8211; Natural numbers<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The number <strong>\u201329<\/strong> belongs to the following subsets of real numbers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Real numbers<\/strong><\/li>\n\n\n\n<li><strong>Rational numbers<\/strong><\/li>\n\n\n\n<li><strong>Integers<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To classify the number <strong>\u201329<\/strong>, let us consider each subset of the real number system and determine if it includes \u201329:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Real numbers<\/strong>:<br>This is the broadest category. Real numbers include all rational and irrational numbers. Since \u201329 is a number that can be located on the number line, it is a real number.<\/li>\n\n\n\n<li><strong>Irrational numbers<\/strong>:<br>Irrational numbers are numbers that cannot be written as a simple fraction or ratio of two integers. Their decimal forms are non-repeating and non-terminating, such as \u03c0 or \u221a2.<br>\u201329 is not irrational because it can be written as a fraction: \u201329\/1. So this set does <strong>not<\/strong> include \u201329.<\/li>\n\n\n\n<li><strong>Rational numbers<\/strong>:<br>Rational numbers are numbers that can be written as a ratio of two integers (a fraction), where the denominator is not zero. Since \u201329 = \u201329\/1, it is a rational number.<\/li>\n\n\n\n<li><strong>Integers<\/strong>:<br>Integers include all whole numbers and their negative counterparts. The set of integers is {&#8230; \u20133, \u20132, \u20131, 0, 1, 2, 3, &#8230;}.<br>\u201329 is a negative whole number, so it is an integer.<\/li>\n\n\n\n<li><strong>Whole numbers<\/strong>:<br>Whole numbers are the non-negative integers: 0, 1, 2, 3, and so on.<br>\u201329 is not a whole number because it is negative.<\/li>\n\n\n\n<li><strong>Natural numbers<\/strong>:<br>Natural numbers are the counting numbers: 1, 2, 3, 4, and so on. Some definitions include 0, but all agree that negative numbers are not natural.<br>\u201329 is not a natural number.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final classification:<\/h3>\n\n\n\n<p>\u201329 is a <strong>real number<\/strong>, a <strong>rational number<\/strong>, and an <strong>integer<\/strong>. It is <strong>not<\/strong> an irrational number, whole number, or natural number.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"722\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-222.jpeg\" alt=\"\" class=\"wp-image-30912\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-222.jpeg 722w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-222-212x300.jpeg 212w\" sizes=\"auto, (max-width: 722px) 100vw, 722px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Use the list below to classify all the subsets of real numbers to which the number &#8220;-29&#8221; belongs. &#8211; Real numbers &#8211; Irrational numbers &#8211; Rational numbers &#8211; Integers &#8211; Whole numbers &#8211; Natural numbers The Correct Answer and Explanation is: The number \u201329 belongs to the following subsets of real numbers: Explanation: To classify [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-30910","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30910","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=30910"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30910\/revisions"}],"predecessor-version":[{"id":30913,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30910\/revisions\/30913"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}