{"id":20852,"date":"2025-06-14T20:08:23","date_gmt":"2025-06-14T20:08:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20852"},"modified":"2025-06-14T20:08:30","modified_gmt":"2025-06-14T20:08:30","slug":"27-8-is-a-rational-number-right","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/27-8-is-a-rational-number-right\/","title":{"rendered":"27\/8 is a rational number right"},"content":{"rendered":"\n<p>27\/8 is a rational number right!! then what is its decimal form????<\/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>Yes, <strong>27\/8 is a rational number<\/strong>, and its <strong>decimal form is 3.375<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p><strong>27 \u00f7 8 = 3.375<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 <strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>A <strong>rational number<\/strong> is defined as any number that can be expressed as a <strong>fraction<\/strong> of the form <strong>a\/b<\/strong>, where <strong>a<\/strong> and <strong>b<\/strong> are integers, and <strong>b \u2260 0<\/strong>. Since 27 and 8 are both integers and 8 is not zero, 27\/8 is clearly a rational number.<\/p>\n\n\n\n<p>To convert <strong>27\/8<\/strong> into its <strong>decimal form<\/strong>, we perform <strong>long division<\/strong> or use a calculator:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>8 goes into 27 three (3) times<\/strong>:<br>8 \u00d7 3 = 24<br>Subtract: 27 \u2212 24 = 3<\/li>\n\n\n\n<li>Bring down a decimal point and a zero (making it 30).<br>8 goes into 30 <strong>three (3) times<\/strong>:<br>8 \u00d7 3 = 24<br>Subtract: 30 \u2212 24 = 6<\/li>\n\n\n\n<li>Bring down another zero (making it 60).<br>8 goes into 60 <strong>seven (7) times<\/strong>:<br>8 \u00d7 7 = 56<br>Subtract: 60 \u2212 56 = 4<\/li>\n\n\n\n<li>Bring down another zero (making it 40).<br>8 goes into 40 <strong>five (5) times<\/strong>:<br>8 \u00d7 5 = 40<br>Subtract: 40 \u2212 40 = 0<\/li>\n<\/ul>\n\n\n\n<p>Now there&#8217;s no remainder, which means the division <strong>terminates<\/strong>, and the decimal form is <strong>3.375<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d Why This Matters:<\/h3>\n\n\n\n<p>Understanding the decimal form of a rational number is important in math and real-life applications. Rational numbers may have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Terminating decimals<\/strong> (like 3.375)<\/li>\n\n\n\n<li><strong>Repeating decimals<\/strong> (like 1\/3 = 0.333\u2026)<\/li>\n<\/ul>\n\n\n\n<p>If a fraction has only 2 and\/or 5 as prime factors in its denominator after simplification, its decimal will <strong>terminate<\/strong>.<br>Since <strong>8 = 2 \u00d7 2 \u00d7 2<\/strong>, it satisfies this rule, so <strong>27\/8<\/strong> has a <strong>terminating decimal<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>27\/8 is a rational number.<\/li>\n\n\n\n<li>Decimal form: <strong>3.375<\/strong><\/li>\n\n\n\n<li>It terminates because the denominator is a power of 2.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>27\/8 is a rational number right!! then what is its decimal form???? The correct answer and explanation is: Yes, 27\/8 is a rational number, and its decimal form is 3.375. \u2705 Correct Answer: 27 \u00f7 8 = 3.375 \ud83e\udde0 Explanation (300 words): A rational number is defined as any number that can be expressed as [&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-20852","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20852","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=20852"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20852\/revisions"}],"predecessor-version":[{"id":20853,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20852\/revisions\/20853"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}