{"id":154748,"date":"2022-03-25T23:52:46","date_gmt":"2022-03-25T18:22:46","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/number-system-for-class-9\/"},"modified":"2023-01-02T13:21:53","modified_gmt":"2023-01-02T07:51:53","slug":"number-system-for-class-9","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/number-system-for-class-9\/","title":{"rendered":"Number System For Class 9"},"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\/number-system-for-class-9\/#What_is_a_Number_System\" title=\"What is a Number System?\">What is a Number System?<\/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\/number-system-for-class-9\/#Rational_Numbers\" title=\"Rational Numbers\">Rational 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\/number-system-for-class-9\/#Irrational_Numbers\" title=\"Irrational Numbers\">Irrational Numbers<\/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\/number-system-for-class-9\/#Real_Numbers\" title=\"Real Numbers\">Real 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\/number-system-for-class-9\/#Terminating_Decimal_Numbers\" title=\"Terminating Decimal Numbers\">Terminating Decimal Numbers<\/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\/number-system-for-class-9\/#Non-Terminating_Decimal_Numbers\" title=\"Non-Terminating Decimal Numbers\">Non-Terminating Decimal Numbers<\/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\/number-system-for-class-9\/#Recurring_Decimal_Numbers\" title=\"Recurring Decimal Numbers\">Recurring Decimal Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/number-system-for-class-9\/#Rational_Numbers_on_the_Number_Line\" title=\"Rational Numbers on the Number Line\">Rational Numbers on the Number Line<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Number_System\"><\/span>What is a Number System?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A number system is a way of representing numbers using symbols. There are many different number systems, but the most common one is the base 10 number system. In this number system, each number is represented by a combination of 10 symbols, 0 through 9.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154747 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/number-system-for-class-9-300x212.jpg\" alt=\"Number System \" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/number-system-for-class-9-300x212.jpg?v=1648232563 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/number-system-for-class-9.jpg?v=1648232563 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers\"><\/span>Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Rational numbers are numbers that can be expressed as a fraction, or ratio of two integers. In other words, rational numbers can be written as p\/q, where p and q are integers and q is not zero.<\/p>\n<p>The most basic rational number is 1\/1, which is simply the number 1 expressed as a fraction. Other examples of rational numbers include 2\/1, 3\/2, and 5\/4.<\/p>\n<p>Rational numbers can be used to measure things that are divisible by a certain unit, such as inches, pounds, or minutes. For example, if you wanted to measure the length of a room, you could use rational numbers to measure the length in inches, feet, or yards.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Irrational_Numbers\"><\/span>Irrational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An irrational number is a number that cannot be expressed as a rational number. This means that it cannot be expressed as a fraction of two integers. Irrational numbers are found in nature, and are used in many mathematical formulas.<\/p>\n<p>Some irrational numbers include pi, the square root of 2, and the golden ratio. These numbers cannot be expressed as a fraction of two whole numbers, but they can be expressed as decimal values that go on forever without repeating.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Real_Numbers\"><\/span>Real Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A number is any quantity that can be counted. The natural numbers are 1, 2, 3, and so on. The whole numbers are 0, 1, 2, and so on. The integers are the natural numbers and the whole numbers. The rational numbers are all the numbers that can be expressed as a fraction, a decimal, or a percentage. The real numbers are the rational numbers and all the irrational numbers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Terminating_Decimal_Numbers\"><\/span>Terminating Decimal Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A terminating decimal number is a number that has a finite number of digits that repeat after a decimal point. For example, the number 2.75 has 2 digits that repeat after the decimal point. The number 5.00 has 5 digits that repeat after the decimal point.<\/p>\n<p>A non-terminating decimal number is a number that does not have a finite number of digits that repeat after the decimal point. For example, the number 3.14159265358979323846264338327950288&#8230; does not have a finite number of digits that repeat after the decimal point.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Non-Terminating_Decimal_Numbers\"><\/span>Non-Terminating Decimal Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Non-terminating decimal numbers are numbers that do not have a finite number of digits after the decimal point. They go on forever. For example, the number 0.333&#8230; is a non-terminating decimal.<\/p>\n<p>There is no definitive answer as to whether or not non-terminating decimal numbers actually exist. Some mathematicians believe that they do, while others believe that they don&#8217;t. The debate is ongoing.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Recurring_Decimal_Numbers\"><\/span>Recurring Decimal Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A recurring decimal number is a number that can be represented as a fraction in which the numerator and denominator are both integers, and the numerator is a multiple of the denominator. For example, the recurring decimal number 0.333&#8230; can be represented as the fraction 3\/9.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers_on_the_Number_Line\"><\/span>Rational Numbers on the Number Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The rational numbers are all of the numbers that can be written as a fraction. This includes all of the whole numbers, all of the fractions, and all of the decimals.<\/p>\n<p>The number line is a great way to visualize the rational numbers. On the number line, the rational numbers are all the numbers that are between the whole numbers. This includes all of the fractions and all of the decimals.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a Number System? A number system is a way of representing numbers using symbols. There are many different [&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":"Number System For Class 9","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about number system for class 9 topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/number-system-for-class-9\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Number System For Class 9 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about number system for class 9 topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/number-system-for-class-9\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Number System For Class 9 - 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