{"id":88365,"date":"2021-04-09T14:41:34","date_gmt":"2021-04-09T09:11:34","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=88365"},"modified":"2022-04-01T10:25:43","modified_gmt":"2022-04-01T04:55:43","slug":"terminating-decimal","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/terminating-decimal\/","title":{"rendered":"Terminating Decimal &#8211; Definition, Examples | How to Determine if it is a Terminating Decimal?"},"content":{"rendered":"<p>Seek help regarding the Terminating Decimals concept from this webpage. Get to know all about Terminating Decimals such as Definitions, How to Determine if it is a Terminating Decimal or not by going through this entire article. We have also listed the steps on how to convert a terminating decimal to a repeating decimal here. Find Solved Examples on Terminating Decimals available here so as to understand the concept clearly.<\/p>\n<p>Also, See:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/decimal-and-fractional-expansion\/\">Decimal and Fractional Expansion<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/simplify-decimals-involving-addition-and-subtraction-decimals\/\">Simplify Decimals Involving Addition and Subtraction Decimals<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/rounding-decimals\/\">Rounding Decimals<\/a><\/li>\n<\/ul>\n<h2>Terminating Decimal &#8211; Definition<\/h2>\n<p>A Terminating Decimal is a decimal that ends. A Decimal Number that contains a finite number of digits next to the decimal point is called a Terminating Decimal. In fact, we can rewrite the terminating decimals as fractions.<\/p>\n<p>Example: 0.52, 0.625, 0.78, etc.<\/p>\n<h3>How to know if it is a Terminating Decimal?<\/h3>\n<p>While expressing a fraction in decimal form, when we perform division we observe that the division is complete after few steps i.e. we get a remainder zero. The decimal quotient obtained is known as the terminating decimal. In fact, such decimals will have a finite number of digits after the decimal point.<\/p>\n<p>Terminating Decimals can be expressed as repeating decimals by simply placing zeros that are never-ending. For Example, 12.32 can be written as 12.3200000000&#8230;&#8230;.<\/p>\n<h3>Solved Examples on Terminating Decimals<\/h3>\n<p>1. Express 1\/4 in decimal form and check if it is terminating decimal?<\/p>\n<p>Solution:<\/p>\n<p>Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-88424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Terminating-Decimals-Example.png\" alt=\"Terminating Decimals Example\" width=\"95\" height=\"224\" \/><\/p>\n<p>Since 0.25 has a finite number of digits next to the decimal point it is considered a terminating decimal.<\/p>\n<p>2. Express 15\/4 in Decimal Form and check if it is terminating decimal?<\/p>\n<p>Solution:<\/p>\n<p>Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-88425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Sample-Problem-on-Terminating-Decimal.png\" alt=\"Sample Problem on Terminating Decimal\" width=\"111\" height=\"277\" \/><\/p>\n<p>Since 3.75 has a finite number of digits next to the decimal point it is considered as a terminating decimal.<\/p>\n<p>3. Express 23\/5 in Decimal Form?<\/p>\n<p>Solution:<\/p>\n<p>Perform Division Operation and check if the decimal quotient has a finite number of digits or not. If it has a finite number of digits after the decimal point then it is a terminating decimal.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-88426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Terminating-Decimal-Example-Question.png\" alt=\"Terminating Decimal Example Question\" width=\"91\" height=\"224\" \/><\/p>\n<p>Since the decimal quotient, 4.6 has a finite number of decimal places next to the decimal point it is called a terminating decimal.<\/p>\n<h3>FAQs on Terminating Decimal<\/h3>\n<p><strong>1. What is a terminating decimal?<\/strong><\/p>\n<p>Terminating Decimal is a Decimal Number that contains a finite number of digits next to the decimal point.<\/p>\n<p><strong>2. Is 2.3 a terminating decimal?<\/strong><\/p>\n<p>Yes, 2.3 is a terminating decimal as it has a finite number of digits after the decimal point.<\/p>\n<p><strong>3. How do you find terminating decimals without actual division?<\/strong><\/p>\n<p>Prime Factorization of the denominator should contain factor 2 or factor 5 or both factors 2 and 5 to tell if it&#8217;s a terminating decimal. Any factor other than these gives a non-terminating decimal.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Seek help regarding the Terminating Decimals concept from this webpage. Get to know all about Terminating Decimals such as Definitions, How to Determine if it is a Terminating Decimal or not by going through this entire article. We have also listed the steps on how to convert a terminating decimal to a repeating decimal here. &#8230; <a title=\"Terminating Decimal &#8211; Definition, Examples | How to Determine if it is a Terminating Decimal?\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/terminating-decimal\/\" aria-label=\"More on Terminating Decimal &#8211; Definition, Examples | How to Determine if it is a Terminating Decimal?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":88444,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[1],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Terminating-Decimal.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88365"}],"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=88365"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88365\/revisions"}],"predecessor-version":[{"id":91333,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88365\/revisions\/91333"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/88444"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=88365"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=88365"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=88365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}