{"id":71660,"date":"2021-02-04T15:05:25","date_gmt":"2021-02-04T09:35:25","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71660"},"modified":"2021-02-04T15:05:30","modified_gmt":"2021-02-04T09:35:30","slug":"rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/","title":{"rendered":"RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions"},"content":{"rendered":"\n<p>In the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/\" target=\"_blank\" rel=\"noopener noreferrer\">RD Sharma Chapter 1 Class 9 Maths Solutions<\/a>, we will explain the real numbers and their decimal expansions. The RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF is prepared by our experts, which helps students learn about the real numbers and their decimal expansions easily. In the PDF, we have provided the explained solutions as well.<\/p>\n<p>These topics of Maths Exercise 1.3 helps students to score easily in the exam. The questions would be like- students have to convert the decimal number in the form of p\/q or vice-versa.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e73df51b2ce\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69e73df51b2ce\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#download-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions-pdf\" title=\"Download RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF\">Download RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#important-definition-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions\" title=\"Important Definition RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions\">Important Definition RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions<\/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:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#real-numbers\" title=\"Real Numbers\">Real Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#decimal-expansion-of-rational-numbers\" title=\"Decimal Expansion of Rational Numbers\">Decimal Expansion of Rational Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#benefits-of-rd-sharma-solutions-class-9-maths\" title=\"Benefits of RD Sharma Solutions Class 9 Maths\">Benefits of RD Sharma Solutions Class 9 Maths<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions-pdf\"><\/span>Download RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-1-Number-System-Exercise-1.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-1-Number-System-Exercise-1.3.pdf\">Solutions for Class 9 Maths Chapter 1 Number System Exercise 1.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions\"><\/span>Important Definition RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Go down to the points to know about the real number, and their decimal expansion comes under the Number System topic of the RD Sharma Chapter 1 Class 9 Maths.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"real-numbers\"><\/span><strong>Real Numbers<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Real Numbers are not Imaginary Numbers. Whether it is the irrational number or rational number, a negative number or positive number, a small number or a large number, natural number, or whole number, are all Real Numbers. All decimals and fractions have also come under the category of real numbers. It is denoted by the symbol \u201cR.\u201d<\/p>\n<p>Look at the featured table to understand more about the real numbers-<\/p>\n<table width=\"0\">\n<tbody>\n<tr>\n<td width=\"312\">\n<p>Integers<\/p>\n<\/td>\n<td width=\"312\">\n<p>{&#8230;., -2, -1, 0, 1, 2, 3\u2026.}<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Rational Numbers<\/p>\n<\/td>\n<td width=\"312\">\n<p>5\/3, 0.533, 0.0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Irrational Numbers<\/p>\n<\/td>\n<td width=\"312\">\n<p>\u00a00.1010011000\u2026.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Whole Numbers<\/p>\n<\/td>\n<td width=\"312\">\n<p>{0, 1, 2, 3, 4, 5,&#8230;&#8230;.}<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Natural Numbers<\/p>\n<\/td>\n<td width=\"312\">\n<p>{1, 2, 3, 4, 5, 6,&#8230;..}<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"decimal-expansion-of-rational-numbers\"><\/span><strong>Decimal Expansion of Rational Numbers<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are two parts of Decimal Expansion- Terminating and Non- Terminating. Terminating Decimal Numbers are Rational Numbers, where non-terminating have two parts- Repeating (Rational Numbers) and Non- Repeating (Irrational Numbers).<\/p>\n<p>The real numbers which are terminating or recurring in behavior are natural numbers.<\/p>\n<p>For Example:-<\/p>\n<p>The number 33.3333\u2026.. It is a rational number, which can also be interpreted in the form of 100\/3. In this, the decimal part (.3333\u2026..) is the repeating (non-terminating) part means it is a recurring decimal number.<\/p>\n<p>The terminating decimal like- 0.375, 0.8, etc. satisfies the condition of being rational-<\/p>\n<ul>\n<li>375=<\/li>\n<li>6= \u2157<\/li>\n<\/ul>\n<p>For more clarification, consider the PDF mentioned above in the article.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"benefits-of-rd-sharma-solutions-class-9-maths\"><\/span><strong>Benefits of RD Sharma Solutions Class 9 Maths<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In the RD Sharma, students will get as many questions for practice. Also, the level of questions is a little high compared to the textbooks of the 9th class textbooks. But after solving the questions from the RD Sharma, students can solve the questions of their textbooks easily by putting the formulas and tricks mentioned in the RD Sharma.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-1-class-9-maths-exercise-13-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques)- What are the two parts of Decimal Expansion?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> The two parts of the decimal expansions are- Terminating Numbers and Non- Terminating Numbers.<\/p>\n<p><strong>Ques)- Which two numbers come under the Non-Terminating Numbers?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> Rational Numbers and Irrational Numbers comes under the part of Non-Terminating Numbers.<\/p>\n<p><strong>Ques)- What are examples of not real numbers?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> Not Real Numbers means Imaginary Numbers, which cannot be quantified like- the square root of the negative numbers. Students cannot add or subtract imaginary numbers. Infinity Number is the best example of the not real numbers.<\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Know about CBSE Board<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the RD Sharma Chapter 1 Class 9 Maths Solutions, we will explain the real numbers and their decimal expansions. The RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions PDF is prepared by our experts, which helps students learn about the real numbers and their decimal expansions easily. In the PDF, we have &#8230; <a title=\"RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/\" aria-label=\"More on RD Sharma Chapter 1 Class 9 Maths Exercise 1.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71661,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71660"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71660"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71660\/revisions"}],"predecessor-version":[{"id":73384,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71660\/revisions\/73384"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71661"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}