{"id":30930,"date":"2025-06-21T20:50:51","date_gmt":"2025-06-21T20:50:51","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=30930"},"modified":"2025-06-21T20:50:52","modified_gmt":"2025-06-21T20:50:52","slug":"select-the-all-numbers-below-which-are-rational-numbers","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/select-the-all-numbers-below-which-are-rational-numbers\/","title":{"rendered":"Select the all numbers below which are rational numbers"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"604\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-165.png\" alt=\"\" class=\"wp-image-30931\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-165.png 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-165-300x177.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-165-768x453.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\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 correct rational numbers from the list are:<\/p>\n\n\n\n<p>0, 1.8125, \u221a4, 29\/8, and 8.429<\/p>\n\n\n\n<p>Explanation:<\/p>\n\n\n\n<p>A rational number is any number that can be written as a fraction a\/b, where a and b are integers and b is not zero. This includes all terminating decimals, repeating decimals, integers, and proper fractions.<\/p>\n\n\n\n<p>0 qualifies as rational because it can be written as 0\/1, which fits the definition.<\/p>\n\n\n\n<p>1.8125 is a terminating decimal and can be expressed exactly as 18125\/10000. This simplifies to a fraction of integers, confirming it is rational.<\/p>\n\n\n\n<p>\u221a4 equals 2, which is an integer. Since integers can be written in the form a\/1, it is rational.<\/p>\n\n\n\n<p>29\/8 is already written as a ratio of two integers, so it is clearly rational.<\/p>\n\n\n\n<p>8.429 is a terminating decimal. It can be converted to the fraction 8429\/1000, which confirms its rationality.<\/p>\n\n\n\n<p>On the other hand:<\/p>\n\n\n\n<p>\u221a13 is irrational. The square root of 13 cannot be simplified into a whole number or a fraction, and its decimal form is non-terminating and non-repeating.<\/p>\n\n\n\n<p>29.04040004\u2026 appears to have a non-repeating pattern after the decimal, which disqualifies it from being a rational number.<\/p>\n\n\n\n<p>3.14159\u2026 is an approximation of \u03c0 (pi), a well-known irrational number. Its decimal representation goes on forever without repeating.<\/p>\n\n\n\n<p>Identifying rational numbers is useful in algebra, measurement, and data analysis because rational numbers have predictable and well-behaved properties. They allow exact representations in calculations, which is crucial in many scientific and engineering applications. Understanding the characteristics of rational versus irrational numbers builds a strong foundation in number theory and mathematical reasoning.<\/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-banner10-224.jpeg\" alt=\"\" class=\"wp-image-30932\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-224.jpeg 722w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-224-212x300.jpeg 212w\" sizes=\"auto, (max-width: 722px) 100vw, 722px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct rational numbers from the list are: 0, 1.8125, \u221a4, 29\/8, and 8.429 Explanation: A rational number is any number that can be written as a fraction a\/b, where a and b are integers and b is not zero. This includes all terminating decimals, repeating decimals, integers, and [&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-30930","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30930","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=30930"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30930\/revisions"}],"predecessor-version":[{"id":30933,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/30930\/revisions\/30933"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=30930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=30930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=30930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}