{"id":142777,"date":"2022-07-15T20:51:54","date_gmt":"2022-07-15T15:21:54","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=142777"},"modified":"2022-07-15T16:00:58","modified_gmt":"2022-07-15T10:30:58","slug":"representation-of-rational-numbers-on-number-line","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/representation-of-rational-numbers-on-number-line\/","title":{"rendered":"Representation of Rational Numbers on Number Line &#8211; Definition, Facts, Examples | How do you Represent Rational Numbers on a Number Line?"},"content":{"rendered":"<p>A Rational Number is a Real Number that can be denoted in the form of a simple fraction. If you are wondering how to represent <a href=\"https:\/\/ccssanswers.com\/rational-numbers\/\">Rational Numbers<\/a> on Number Line then this article is for you. You will know everything about what is a number line and how do we express rational numbers on a number line step by step. Check out solved examples on the representation of the rational numbers on a number line and solve similar kinds of questions easily.<\/p>\n<h2>Number Line &#8211; Definition<\/h2>\n<p>A number Line is a pictorial representation of numbers on a straight line. We can use it as a reference for ordering and comparing numbers. To the right side of the origin, we denote positive values and on the left side of the origin, negative values are expressed.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-121303\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Representation-of-Numbers-on-Number-Line.png\" alt=\"Representation of Numbers on Number Line\" width=\"518\" height=\"99\" \/><\/p>\n<p>Do read:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/use-a-number-line\/\">Use a Number Line<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/expressing-numbers-on-the-number-line\/\">Expressing Numbers on the Number Line<\/a><\/li>\n<\/ul>\n<h2>Rational Numbers &#8211; Definition<\/h2>\n<p>In Simple Maths, we can define Rational Number as any Number that can be denoted in the form of p\/q where p, q are integers and q \u2260 0.<\/p>\n<h3>How do you Represent Rational Numbers on a Number Line?<\/h3>\n<p>Follow the simple steps listed below for the representation of rational numbers on the number line. They are as such<\/p>\n<ul>\n<li>Firstly, draw a line and locate a point 0 i.e. origin.<\/li>\n<li>If the given number is positive mark it on the right side of the origin. if it is negative mark it on the left side of the origin.<\/li>\n<li>For denoting fractions divide each unit into values equal to the denominator of the fraction.<\/li>\n<\/ul>\n<h3>Rational Number Representation Using Successive Magnification<\/h3>\n<p>We can represent the decimal expansion on the number line using the successive magnification process. We know every rational number can be denoted as decimal expansions. Here, 1\/3 = 0.33333&#8230;&#8230;..<br \/>\nStep 1: Locate 0.3 on the number line and lies between 0 and 1<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-121304 aligncenter\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Decimal-Representation-of-Number-0.3.png\" alt=\"Decimal Representation of Number 0.3\" width=\"508\" height=\"78\" \/>Step 2: Now represent 0.33 on the number line. We know 0.33 lies between 0.30 and 0.40<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-121305 aligncenter\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Decimal-Representation-of-Number-0.33.png\" alt=\"Decimal Representation of Number 0.33\" width=\"507\" height=\"74\" \/><\/p>\n<p>By magnifying numbers between 2 other numbers on the number line, we can represent the decimal expansion of rational numbers easily.<\/p>\n<h3>Solved Examples on Representation of Numbers on Number Line<\/h3>\n<p><strong>Example 1.<br \/>\n<\/strong>Represent Rational Numbers 3\/5 on the Number Line?<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given Rational Number is 3\/5<br \/>\nWe know it is a proper fraction and positive number thus it lies on the right side of the origin. i.e. between 0 and 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-121306\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Representation-of-Rational-Number-3-by-5.png\" alt=\"Representation of Rational Number 3 by 5\" width=\"523\" height=\"74\" \/><br \/>\nSplit the number line between 0 and 1 into 5 equal parts the number of times the denominator. The third part is the representation of rational number 3\/5.<\/p>\n<p><strong>Example 2.<br \/>\n<\/strong>Represent Rational number 9\/6 on the number line?<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given Rational Number is 9\/6<br \/>\nWe know it is an improper fraction and a positive number thus it lies on the right side of the origin. i.e. between 0 and 1.<br \/>\nImproper Fraction 9\/6 expressed in the mixed fraction is 1 3\/6<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-121307\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Representation-of-Rational-Number-9-by-6.png\" alt=\"Representation of Rational Number 9 by 6\" width=\"531\" height=\"89\" \/><\/p>\n<p><strong>Example 3.<\/strong><\/p>\n<p>Represent Rational Number -2\/4 on a Number Line?<br \/>\n<strong>Solution:<br \/>\n<\/strong>Given Rational Number is -2\/4<br \/>\nWe know it is a proper fraction but a negative number thus it lies on the left side of the origin. i.e. between 0 and -1.<br \/>\nProper Fraction -2\/4 expressed on the number line is as follows. We will split into 4 equal parts and then the 2nd part between 0 and -1 is -2\/4.<br \/>\n<strong><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-121309\" src=\"https:\/\/eurekamathanswerkeys.com\/wp-content\/uploads\/2021\/11\/Rational-Number-Representation-of-Number-2-by-4.png\" alt=\"Rational Number Representation of Number -2 by 4\" width=\"539\" height=\"82\" \/><\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A Rational Number is a Real Number that can be denoted in the form of a simple fraction. If you are wondering how to represent Rational Numbers on Number Line then this article is for you. You will know everything about what is a number line and how do we express rational numbers on a &#8230; <a title=\"Representation of Rational Numbers on Number Line &#8211; Definition, Facts, Examples | How do you Represent Rational Numbers on a Number Line?\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/representation-of-rational-numbers-on-number-line\/\" aria-label=\"More on Representation of Rational Numbers on Number Line &#8211; Definition, Facts, Examples | How do you Represent Rational Numbers on a Number Line?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/142777"}],"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=142777"}],"version-history":[{"count":4,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/142777\/revisions"}],"predecessor-version":[{"id":142782,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/142777\/revisions\/142782"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=142777"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=142777"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=142777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}