{"id":21710,"date":"2025-06-16T06:20:53","date_gmt":"2025-06-16T06:20:53","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21710"},"modified":"2025-06-16T06:20:55","modified_gmt":"2025-06-16T06:20:55","slug":"is-5-1-25-a-rational-or-irrational-number","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/is-5-1-25-a-rational-or-irrational-number\/","title":{"rendered":"Is 5 1\/25 a rational or irrational number"},"content":{"rendered":"\n<p>Is 5 1\/25 a rational or irrational number<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br><strong>5 1\/25 is a <em>rational<\/em> number.<\/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 (300 words):<\/strong><\/h3>\n\n\n\n<p>To determine whether <strong>5 1\/25<\/strong> is a rational or irrational number, we must understand the definitions of each:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>rational number<\/strong> is any number that can be written as a <strong>fraction<\/strong> (or ratio) of two integers, where the denominator is not zero. Rational numbers include integers, terminating decimals, repeating decimals, and fractions.<\/li>\n\n\n\n<li>An <strong>irrational number<\/strong> is a number that <strong>cannot<\/strong> be expressed as a simple fraction. It has a non-terminating, non-repeating decimal expansion (e.g., \u221a2, \u03c0, or e).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>Now let\u2019s look at <strong>5 1\/25<\/strong> more closely:<\/p>\n\n\n\n<p>This is a <strong>mixed number<\/strong>, which combines a whole number (5) and a fraction (1\/25). To check whether it\u2019s rational, convert it to an improper fraction: 5125=(5\u00d725)+125=125+125=126255\\frac{1}{25} = \\frac{(5 \\times 25) + 1}{25} = \\frac{125 + 1}{25} = \\frac{126}{25}<\/p>\n\n\n\n<p>Now, 12625\\frac{126}{25} is clearly a fraction of two integers: <strong>126<\/strong> and <strong>25<\/strong>. The denominator (25) is not zero, so this is a valid rational number.<\/p>\n\n\n\n<p>We can also convert it into a decimal: 5125=5+125=5+0.04=5.045\\frac{1}{25} = 5 + \\frac{1}{25} = 5 + 0.04 = 5.04<\/p>\n\n\n\n<p>The decimal <strong>5.04<\/strong> is a <strong>terminating decimal<\/strong>, which is a hallmark of rational numbers.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>Since <strong>5 1\/25<\/strong> can be written as both a fraction 12625\\frac{126}{25} and a terminating decimal <strong>5.04<\/strong>, it meets all criteria of a <strong>rational number<\/strong>. It is <strong>not<\/strong> irrational because it can be precisely expressed as a ratio of integers.<\/p>\n\n\n\n<p>So, <strong>5 1\/25 is a rational number<\/strong>. \u2705<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Is 5 1\/25 a rational or irrational number The correct answer and explanation is: Correct Answer:5 1\/25 is a rational number. Explanation (300 words): To determine whether 5 1\/25 is a rational or irrational number, we must understand the definitions of each: Now let\u2019s look at 5 1\/25 more closely: This is a mixed number, [&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-21710","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21710","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=21710"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21710\/revisions"}],"predecessor-version":[{"id":21711,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21710\/revisions\/21711"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}