{"id":155362,"date":"2022-03-26T00:33:42","date_gmt":"2022-03-25T19:03:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/recurring-decimal-explanation-types-conversion-solved-examples-and-faqs\/"},"modified":"2023-01-02T12:56:03","modified_gmt":"2023-01-02T07:26:03","slug":"recurring-decimal-explanation-types-conversion-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/","title":{"rendered":"Recurring Decimal &#8211; Explanation, Types, Conversion, Solved Examples, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Repeating_Decimal\" title=\"Repeating Decimal\">Repeating Decimal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Non_-_Recurring_Numbers\" title=\"Non &#8211; Recurring Numbers\">Non &#8211; Recurring Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Terminating_and_Recurring_Decimals\" title=\"Terminating and Recurring Decimals\">Terminating and Recurring Decimals<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Types_of_Decimal_Numbers\" title=\"Types of Decimal Numbers\">Types of Decimal Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Converting_Recurring_Decimals_to_Fractions\" title=\"Converting Recurring Decimals to Fractions\">Converting Recurring Decimals to Fractions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#Example_of_Conversion_of_Repeating_Decimal_to_Fraction\" title=\"Example of Conversion of Repeating Decimal to Fraction\">Example of Conversion of Repeating Decimal to Fraction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/recurring-decimal\/#About_Recurring_Decimal\" title=\"About Recurring Decimal\">About Recurring Decimal<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Repeating_Decimal\"><\/span>Repeating Decimal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Repeating decimal is a decimal number that contains a repeating pattern of digits. The repeating pattern can be any combination of digits, but it must be the same for all digits in the number.<\/p>\n<p>For example, the repeating decimal 0.6666666&#8230; consists of the six digits 666 repeated forever.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155361 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/recurring-decimal-explanation-types-conversion-solved-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/recurring-decimal-explanation-types-conversion-solved-examples-and-faqs.jpg?v=1648235019 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/recurring-decimal-explanation-types-conversion-solved-examples-and-faqs-300x212.jpg?v=1648235019 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Non_-_Recurring_Numbers\"><\/span>Non &#8211; Recurring Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A non-recurring number is a number that is not repeated in a certain sequence. In other words, it is a one-time occurrence. For example, the number 5 is a non-recurring number in the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Terminating_and_Recurring_Decimals\"><\/span>Terminating and Recurring Decimals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Terminating decimals are those that have a finite number of digits that repeat after a certain point. For example, the decimal 0.333333&#8230;has three digits that repeat (3&#8217;s), so it is a terminating decimal. Recurring decimals, on the other hand, have a digit or sequence of digits that repeat without ever reaching a stopping point. The decimal 0.142857&#8230;, for example, has a sequence of 8&#8217;s that repeat.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Decimal_Numbers\"><\/span>Types of Decimal Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of decimal numbers: terminating decimal, repeating decimal, and non-terminating decimal.<\/p>\n<p>Terminating decimal numbers are those that have a finite number of digits that repeat after a decimal point. For example, 0.75 has three digits that repeat (7, 5, and 0), so it is a terminating decimal number.<\/p>\n<p>Repeating decimal numbers are those that have a finite number of digits that repeat in a pattern. For example, 0.66666 has six digits that repeat (6, 6, 6, \u2026), so it is a repeating decimal number.<\/p>\n<p>Non-terminating decimal numbers are those that do not have a finite number of digits that repeat. For example, pi (3.14159\u2026) is a non-terminating decimal number because the digits after the decimal point go on forever.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Converting_Recurring_Decimals_to_Fractions\"><\/span>Converting Recurring Decimals to Fractions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To convert a recurring decimal to a fraction, divide the number of recurring digits by the number of total digits in the decimal.<\/p>\n<h2><\/h2>\n<p>CTV Atlantic<\/p>\n<p>CTV Atlantic has learned the Halifax Regional Police officer who was shot in the line of duty is out of surgery and is now in stable condition.<\/p>\n<p>The officer was shot just after 6 p.m. Thursday while responding to a report of a man with a gun in the area of Gottingen and Agricola streets.<\/p>\n<p>The officer was transported to hospital with what police describe as \u201cserious injuries.\u201d<\/p>\n<p>Just after midnight, Halifax Regional Police tweeted that the officer was out of surgery and is now in stable condition.<\/p>\n<p>The suspect, who was shot by police, died at the scene.<\/p>\n<p>The Independent Investigation Office of Nova Scotia has been called in to investigate the incident.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Example_of_Conversion_of_Repeating_Decimal_to_Fraction\"><\/span>Example of Conversion of Repeating Decimal to Fraction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>0.3333333<\/p>\n<p>3 \u00f7 9<\/p>\n<h2><span class=\"ez-toc-section\" id=\"About_Recurring_Decimal\"><\/span>About Recurring Decimal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A recurring decimal is a decimal number that can be represented as a fraction in which the denominator is some power of 10 other than 10 itself. For example, the decimal number 0.12345 can be represented as the fraction 12345\/10000.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Repeating Decimal Repeating decimal is a decimal number that contains a repeating pattern of digits. The repeating pattern can be [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Recurring Decimal","_yoast_wpseo_title":"Recurring Decimal - Explanation, Types, Conversion, Examples, and FAQs","_yoast_wpseo_metadesc":"Learn about recurring decimal topic of maths in details explained by subject experts on infinitylearn.com. 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