{"id":153556,"date":"2022-03-25T22:33:19","date_gmt":"2022-03-25T17:03:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/rational-numbers-introduction-properties-methods-calculation-examples\/"},"modified":"2024-02-21T17:18:16","modified_gmt":"2024-02-21T11:48:16","slug":"rational-numbers-introduction-properties-methods-calculation-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/","title":{"rendered":"Rational Numbers &#8211; Introduction, Properties, Methods, Calculation &#038; Examples"},"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\/rational-numbers\/#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-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/#Standard_Form_of_Rational_Numbers\" title=\"Standard Form of Rational Numbers\">Standard Form of Rational Numbers<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/#Steps_to_Express_a_Rational_Number_in_the_Standard_Form\" title=\"Steps to Express a Rational Number in the Standard Form:\">Steps to Express a Rational Number in the Standard Form:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/#Positive_and_Negative_Rational_Numbers\" title=\"Positive and Negative Rational Numbers\">Positive and Negative Rational Numbers<\/a><\/li><\/ul><\/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\/rational-numbers\/#Properties\" title=\"Properties\">Properties<\/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\/rational-numbers\/#Methods_Calculations_and_Examples\" title=\"Methods, Calculations, and Examples\">Methods, Calculations, and Examples<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/#Rational_Number_-_Addition_and_Subtraction\" title=\"Rational Number &#8211; Addition and Subtraction\">Rational Number &#8211; Addition and Subtraction<\/a><\/li><\/ul><\/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\/rational-numbers\/#Rational_Number_-_Multiplication_and_Division\" title=\"Rational Number &#8211; Multiplication and Division\">Rational Number &#8211; Multiplication and Division<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/rational-numbers\/#Rational_Numbers_Examples\" title=\"Rational Numbers Examples\">Rational Numbers Examples<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers\"><\/span>Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, rational numbers are numbers that can be written as a fraction, where the numerator and denominator are both integers.<\/li>\n<li>For example, the rational number 1\/2 can be written as the fraction 1\/2, and the rational number 3\/4 can be written as the fraction 3\/4.<\/li>\n<li>Rational numbers can be positive, negative, or zero. They can also be rational numbers that are irrational numbers.<\/li>\n<\/ul>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"width: 50%; height: 24px; text-align: center;\"><strong>S.NO<\/strong><\/td>\n<td style=\"width: 50%; height: 24px; text-align: center;\"><strong>CONTENT<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">1<\/td>\n<td style=\"width: 50%; height: 24px;\">INTRODUCTION<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">2<\/td>\n<td style=\"width: 50%; height: 24px;\">STANDARD FORM<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">3<\/td>\n<td style=\"width: 50%; height: 24px;\">STEPS TO EXPRESS A RATIONAL NUMBER<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">4<\/td>\n<td style=\"width: 50%; height: 24px;\">POSITIVE AND NEGATIVE RATIONAL NUMBER<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">5<\/td>\n<td style=\"width: 50%; height: 24px;\">PROPERTIES<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">6<\/td>\n<td style=\"width: 50%; height: 24px;\">METHODS TO IDENTIFY<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">7<\/td>\n<td style=\"width: 50%; height: 24px;\">ADDITION AND SUBTRACTION<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">8<\/td>\n<td style=\"width: 50%; height: 24px;\">MULTIPLICATION AND DIVISION<\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 50%; height: 24px;\">9<\/td>\n<td style=\"width: 50%; height: 24px;\">EXAMPLE<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153555 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-introduction-properties-methods-calculation-examples.jpg\" alt=\"Rational Numbers - Introduction, Properties, Methods, Calculation &amp; Examples\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-introduction-properties-methods-calculation-examples.jpg?v=1648227794 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/rational-numbers-introduction-properties-methods-calculation-examples-300x212.jpg?v=1648227794 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Standard_Form_of_Rational_Numbers\"><\/span>Standard Form of Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. The most common form of a rational number is a decimal, but rational numbers can also be expressed in fraction form or in percentage form.<\/li>\n<li>The standard form of a rational number is a decimal. The standard form of a rational number is the form that is most commonly used to express rational numbers. In the standard form of a rational number, the numerator and denominator are both expressed as integers. The decimal point is placed between the two numbers, and the digits to the right of the decimal point are used to express the fractional component of the rational number.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Steps_to_Express_a_Rational_Number_in_the_Standard_Form\"><\/span>Steps to Express a Rational Number in the Standard Form:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>Express the number in the form p\/q, where p and q are integers and q is not 0.<\/li>\n<li>If q is not 0, divide p by q to get a decimal number.<\/li>\n<li>Move the decimal point two places to the right to get the standard form of the rational number.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Positive_and_Negative_Rational_Numbers\"><\/span>Positive and Negative Rational Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A rational number is any number that can be expressed as a ratio of two integers. The two integers can be any two whole numbers, positive or negative.<\/li>\n<li>Positive rational numbers are those that can be expressed as a ratio of two positive integers. Negative rational numbers are those that can be expressed as a ratio of two negative integers.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Properties\"><\/span>Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Name Type Description<\/p>\n<ol>\n<li>parentNode HTMLElement The parent node of this element.<\/li>\n<li>previousSibling HTMLElement The previous sibling of this element.<\/li>\n<li>nextSibling HTMLElement The next sibling of this element.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Methods_Calculations_and_Examples\"><\/span>Methods, Calculations, and Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>The following subsections provide methods, calculations, and examples for deriving the loads and displacements at the supports and at the midspan of a simply supported beam.<\/li>\n<li>Deriving the Loads at the Supports<\/li>\n<li>The loads at the supports of a simply supported beam are equal to the weight of the beam itself. The weight of the beam can be calculated using the following equation:<\/li>\n<\/ul>\n<p>where:<\/p>\n<p>W is the weight of the beam<\/p>\n<p>L is the length of the beam<\/p>\n<p>\u03c1 is the density of the beam material<\/p>\n<p>The weight of a beam can also be calculated using the following equation:<\/p>\n<p>where:<\/p>\n<p>M is the moment of the beam<\/p>\n<p>I is the moment of inertia of the beam<\/p>\n<p>\u03c1 is the density of the beam material<\/p>\n<p>The following example illustrates how to calculate the weight of a beam.<\/p>\n<p>Example<\/p>\n<p>Calculate the weight of a beam that is 8 feet long and has a density of 100 pounds per cubic foot.<\/p>\n<p>The weight of the beam is 800 pounds.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Rational_Number_-_Addition_and_Subtraction\"><\/span>Rational Number &#8211; Addition and Subtraction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A rational number is a number that can be expressed as a fraction, or a decimal that either terminates or repeats. In this lesson, we will learn how to add and subtract rational numbers.<\/p>\n<p>Adding Rational Numbers<\/p>\n<p>To add two rational numbers, we will line them up so that their fractions are in the same order, and then add the numerators (top numbers) and the denominators (bottom numbers).<\/p>\n<p>For example, let&#8217;s add the rational numbers 3\/4 and 5\/8.<\/p>\n<p>We will line them up like this:<\/p>\n<p>3\/4<br \/>\n+<br \/>\n5\/8<\/p>\n<p>We will add the numerators (3 + 5 = 8) and the denominators (4 + 8 = 12), and then divide by the common denominator (12). This will give us the answer 1 1\/4.<\/p>\n<p>Subtracting Rational Numbers<\/p>\n<p>To subtract two rational numbers, we will line them up so that their fractions are in the same order, and then subtract the numerators (top numbers) and the denominators (bottom numbers).<\/p>\n<p>For example, let&#8217;s subtract the rational numbers 3\/4 and 5\/8.<\/p>\n<p>We will line them up like this:<\/p>\n<p>3\/4<br \/>\n&#8211;<br \/>\n5\/8<\/p>\n<p>We will subtract the numerators (3 &#8211; 5 = -2) and the denominators (4 &#8211; 8 = &#8211;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Number_-_Multiplication_and_Division\"><\/span>Rational Number &#8211; Multiplication and Division<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To multiply two rational numbers, simply multiply the numerators and multiply the denominators.<\/p>\n<p>To divide two rational numbers, divide the numerators and divide the denominators.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Rational_Numbers_Examples\"><\/span>Rational Numbers Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>A rational number is a number that can be expressed as a fraction.<\/li>\n<li>Some common rational numbers are 1\/2, 1\/4, 3\/4, and 5\/8.<\/li>\n<li>Rational numbers can also be negative, such as -1\/4.<\/li>\n<li>Rational numbers can be expressed in decimal form, such as 0.5 or -0.25.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Rational Numbers Rational numbers are numbers that can be expressed as a ratio of two integers. In other words, rational [&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":"Rational Numbers - Introduction","_yoast_wpseo_title":"Rational Numbers- Introduction, Properties, Calculation & Examples","_yoast_wpseo_metadesc":"Learn to calculate Rational Numbers in detail on infinitylearn.com. Check different properties, examples, formulae to calculate Cube Root.","custom_permalink":"maths\/rational-numbers\/"},"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>Rational Numbers- Introduction, Properties, Calculation &amp; Examples<\/title>\n<meta name=\"description\" content=\"Learn to calculate Rational Numbers in detail on infinitylearn.com. 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