{"id":88537,"date":"2021-04-09T17:43:56","date_gmt":"2021-04-09T12:13:56","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=88537"},"modified":"2022-04-01T10:25:43","modified_gmt":"2022-04-01T04:55:43","slug":"non-terminating-decimal","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/non-terminating-decimal\/","title":{"rendered":"Non-Terminating Decimal &#8211; Definition, Examples | How to Identify if it is a Non Terminating Decimal?"},"content":{"rendered":"<p>A decimal is a number whose decimal part and fractional part are separated using a decimal point. In this article, we have presented all about Non-Terminating Decimals such as Definition How to Identify a Non-Terminating or Recurring Decimal all in one place. Refer to Solved Examples on Non-Terminating Decimals so that you will better understand the concept.<\/p>\n<p>Also, Check:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/terminating-decimal\/\">Terminating Decimal<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/decimals\/\">Decimals<\/a><\/li>\n<\/ul>\n<h2>Non-Terminating Decimal &#8211; Definition<\/h2>\n<p>While converting a fraction to decimal we usually perform division operation and obtain a certain remainder. If the division procedure doesn&#8217;t end and we get a remainder other than zero, then such decimal is called a non-terminating decimal.<\/p>\n<p>Example: 2.666 is a non-terminating repeating decimal and can be written as <strong>2.<\/strong>\\( \\overline6\\)<\/p>\n<h3>How to Determine if it is a Non-Terminating Decimal?<\/h3>\n<p>Follow the simple guidelines listed below to determine whether a given decimal number a non-terminating decimal or not. They are along the lines<\/p>\n<ul>\n<li>Whenever we perform a division we get a certain block of digits that do repeat in the decimal part.<\/li>\n<li>Such Decimals are the ones that don&#8217;t end and continue and are called as Non-Terminating Decimal or Recurring Decimal.<\/li>\n<li>You can represent these decimals by placing a bar on the repeated part.<\/li>\n<\/ul>\n<h3>Examples of Non-Terminating Decimals or Recurring Decimals<\/h3>\n<p>1. Express 7\/3 in decimal form and determine whether it is a non-terminating decimal or not?<\/p>\n<p>Solution:<\/p>\n<p>Perform division operation and check if the decimal quotient has finite numbers or infinite numbers. If the digits after the decimal part don&#8217;t end and continue then they are called Non-Terminating or Recurring Decimals.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-88648\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Recurring-Decimal-Example.png\" alt=\"Recurring Decimal Example\" width=\"149\" height=\"382\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Recurring-Decimal-Example.png 149w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Recurring-Decimal-Example-117x300.png 117w\" sizes=\"(max-width: 149px) 100vw, 149px\" \/><\/p>\n<p>Since 7\/3 has an infinite number of digits after the decimal point i.e. 2.3333333&#8230;. thus it is a non-terminating decimal.<\/p>\n<p>2. Express 125\/99 in decimal form and determine whether it is a non-terminating decimal or not?<\/p>\n<p>Solution:<\/p>\n<p>Perform division operation and check if the decimal quotient has finite numbers or infinite numbers. If the digits after the decimal part don&#8217;t end and continue then they are called Non-Terminating or Recurring Decimals.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-88669\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Non-Terminating-Decimal-Sample.png\" alt=\"Non Terminating Decimal Sample\" width=\"188\" height=\"436\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Non-Terminating-Decimal-Sample.png 188w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Non-Terminating-Decimal-Sample-129x300.png 129w\" sizes=\"(max-width: 188px) 100vw, 188px\" \/><\/p>\n<p>Since 125\/99 has an infinite number of digits after the decimal point i.e. 1.2626&#8230;&#8230; thus it is non-terminating.<\/p>\n<h3>FAQs on Non-Terminating Decimals<\/h3>\n<p><strong>1. What is a Non-Terminating Decimal?<\/strong><\/p>\n<p>A Non-Terminating Decimal is a decimal number that continues endlessly.<\/p>\n<p><strong>2. How do you know if a decimal is Non-Terminating?<\/strong><\/p>\n<p>After performing division if you get a certain block of digits that repeat in the decimal part then the decimal part is called a Non-Terminating Decimal.<\/p>\n<p><strong>3. Is 0.544444&#8230;.. a non-terminating decimal?<\/strong><\/p>\n<p>Yes, 0.54444&#8230;. is a non-terminating decimal as it has an infinite number of terms.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A decimal is a number whose decimal part and fractional part are separated using a decimal point. In this article, we have presented all about Non-Terminating Decimals such as Definition How to Identify a Non-Terminating or Recurring Decimal all in one place. Refer to Solved Examples on Non-Terminating Decimals so that you will better understand &#8230; <a title=\"Non-Terminating Decimal &#8211; Definition, Examples | How to Identify if it is a Non Terminating Decimal?\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/non-terminating-decimal\/\" aria-label=\"More on Non-Terminating Decimal &#8211; Definition, Examples | How to Identify if it is a Non Terminating Decimal?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":88683,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Non-Terminating-Decimal.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88537"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=88537"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88537\/revisions"}],"predecessor-version":[{"id":91332,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88537\/revisions\/91332"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/88683"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=88537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=88537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=88537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}