Pure Recurring Decimal – Definition<\/h2>\n
A Decimal in which all the digits in the decimal part are repeated is called a Pure Recurring Decimal.<\/p>\n
For Example: When 5\/3 is divided the quotient is 1.6666…. and all the digits in the decimal part repeat continuously it is called a Pure Recurring Decimal.<\/p>\n
How to Identify a Pure Recurring Decimal?<\/h3>\n
Follow the simple guidelines on how to identify a pure recurring decimal. They are in the following fashion<\/p>\n
- \n
- Firstly, divide the numerator with the denominator from the given fraction.<\/li>\n
- After dividing if you get to see all the digits in the decimal part repeat infinitely then it is called a pure recurring decimal.<\/li>\n<\/ul>\n
For a better understanding of the concept of Pure Recurring Decimals check out few worked-out examples provided in the later sections.<\/p>\n
Pure Recurring Decimal Examples<\/h3>\n
1. Is \\(\\frac { 5 }{ 3 } \\) a Pure Recurring Decimal?<\/p>\n
Solution:<\/p>\n
Simply divide the numerator 5 with denominator 3. Check for if all the digits in the decimal part repeat or not after performing the division process. Simply place a bar on the repeating digits itself.<\/p>\n
![\"Pure](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Pure-Recurring-Decimal-Sample-Problem.png\")
<\/p>\n\\(\\frac { 5 }{ 3 } \\) = 1.66666……<\/p>\n
Thus, \\(\\frac { 5 }{ 3 } \\) expressed in decimal form is 1.6666…. or 1.\\(\\overline{6}\\)<\/p>\n
1.6666…. is called a Pure Recurring Decimal as it has all the digits after the decimal part repeating.<\/p>\n
2. Is \\(\\frac { 7 }{ 3 } \\) a Pure Recurring Decimal?<\/p>\n
Solution:<\/p>\n
Simply divide the numerator 7 with denominator 3. Check for if all the digits in the decimal part repeat or not after performing the division process. Simply place a bar on the repeating digits itself.<\/p>\n
![\"Pure](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Pure-Recurring-Decimal-Example.png\")
<\/p>\n\\(\\frac { 7 }{ 3 } \\) = 2.333333……<\/p>\n
Thus, \\(\\frac { 7 }{ 3 } \\) expressed in decimal form is 2.3333…. or 2.\\(\\overline{3}\\)<\/p>\n
2.3333…. is called a Pure Recurring Decimal as it has all the digits after the decimal part repeating.<\/p>\n
FAQs on Pure Recurring Decimals<\/h3>\n
1. What is a Pure Recurring Decimal?<\/strong><\/p>\n
A Decimal in which all the digits after the decimal point repeat is called a Pure Recurring Decimal.<\/p>\n
2. How to Determine a Pure Recurring Decimal?<\/strong><\/p>\n
Just divide the numerator with the denominator and check if all the digits of the decimal part repeat or not. If the digits repeat then it is said to be a pure recurring decimal.<\/p>\n
3. Is 1\/3 a Pure Recurring Decimal?<\/strong><\/p>\n
Yes, 1\/3 expressed in decimal form is 0.3333…. as it has all the digits in the decimal part repeat continuously.<\/p>\n","protected":false},"excerpt":{"rendered":"
Are you in a dilemma on the concept of Pure Recurring Decimals? If so, you will get a complete grip on Pure Recurring Decimals such as Definition, Examples, Procedure on How to Identify a Pure Recurring Decimal. Furthermore, refer to the solved examples on Pure Recurring Decimals for a better idea of the concept. Also, … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89755,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Pure-Recurring-Decimal.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89724"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=89724"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89724\/revisions"}],"predecessor-version":[{"id":137062,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89724\/revisions\/137062"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/89755"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=89724"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=89724"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=89724"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}