{"id":61444,"date":"2023-09-05T12:50:00","date_gmt":"2023-09-05T07:20:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61444"},"modified":"2023-11-02T15:03:21","modified_gmt":"2023-11-02T09:33:21","slug":"rd-sharma-solutions-class-9-maths-chapter-1-number-system","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/","title":{"rendered":"RD Sharma Solutions Class 9 Maths Chapter 1 &#8211; Number System (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-124402\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-1-Number-System.png\" alt=\"RD Sharma Solutions Class 9 Maths Chapter 1\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-1-Number-System.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solutions-Class-9-Maths-Chapter-1-Number-System-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\"><strong>RD Sharma Solutions Class 9 Maths Chapter 1 Number System:<\/strong> Looking for some quality study material to help yourself with Class 9 mathematics preparation? Well, we got you covered with RD Sharma Solutions Class 9 Maths right there. Download the Free PDF of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths<\/a> Chapter 1 from the download link given below.<\/span><\/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-69d9f41062656\" 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-69d9f41062656\"><\/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-solutions-class-9-maths-chapter-1-number-system\/#download-rd-sharma-solutions-class-9-maths-chapter-1-number-system-pdf\" title=\"Download RD Sharma Solutions Class 9 Maths Chapter 1- Number System PDF\">Download RD Sharma Solutions Class 9 Maths Chapter 1- Number System 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-solutions-class-9-maths-chapter-1-number-system\/#rd-sharma-class-9-maths-chapter-1-number-system-exercise-wise-solutions\" title=\"RD Sharma Class 9 Maths Chapter 1 Number System: Exercise-wise Solutions\">RD Sharma Class 9 Maths Chapter 1 Number System: Exercise-wise Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#access-answers-of-rd-sharma-solutions-class-9-maths-chapter-1\" title=\"Access answers of\u00a0RD Sharma Solutions Class 9 Maths Chapter 1\u00a0\">Access answers of\u00a0RD Sharma Solutions Class 9 Maths Chapter 1\u00a0<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#exercise-12\" title=\"Exercise 1.2\">Exercise 1.2<\/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-solutions-class-9-maths-chapter-1-number-system\/#exercise-13\" title=\"Exercise 1.3\">Exercise 1.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#exercise-14\" title=\"Exercise 1.4\">Exercise 1.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#since-a-ba-%e2%80%93-b-a2-%e2%80%93-b2\" title=\"[Since, (a + b)(a \u2013 b) = a2\u00a0\u2013 b2]\">[Since, (a + b)(a \u2013 b) = a2\u00a0\u2013 b2]<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#using-identity-ab2-a2-2ab-b2\" title=\"[using identity, (a+b)2\u00a0= a2\u00a0+ 2ab + b2]\">[using identity, (a+b)2\u00a0= a2\u00a0+ 2ab + b2]<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#important-topics-rd-sharma-solutions-class-9-maths-chapter-1\" title=\"Important Topics: RD Sharma Solutions Class 9 Maths Chapter 1\">Important Topics: RD Sharma Solutions Class 9 Maths Chapter 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#faqs-on-rd-sharma-solutions-class-9-maths-chapter-1\" title=\"FAQs on RD Sharma Solutions Class 9 Maths Chapter 1\u00a0\">FAQs on RD Sharma Solutions Class 9 Maths Chapter 1\u00a0<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-class-9-maths-chapter-1\" title=\"How much does it cost to download the PDF of RD Sharma Solutions Class 9 Maths Chapter 1?\">How much does it cost to download the PDF of RD Sharma Solutions Class 9 Maths Chapter 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#how-many-questions-are-there-in-rd-sharma-solutions-class-9-maths-chapter-1\" title=\"How many questions are there in RD Sharma Solutions Class 9 Maths Chapter 1?\">How many questions are there in RD Sharma Solutions Class 9 Maths Chapter 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/#can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-1-pdf-offline\" title=\"Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 PDF offline?\">Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-9-maths-chapter-1-number-system-pdf\"><\/span><strong>Download RD Sharma Solutions Class 9 Maths Chapter 1- Number System PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: left;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/11\/rd-1-1.pdf\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 1 Number System<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<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\/2020\/11\/rd-1-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-class-9-maths-chapter-1-number-system-exercise-wise-solutions\"><\/span><strong>RD Sharma Class 9 Maths Chapter 1 Number System: Exercise-wise Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-1-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 1 Exercise 1.1<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-2-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 1 Exercise 1.2<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-3-solution\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 1 Exercise 1.3<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-9-maths-exercise-1-4-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 1 Exercise 1.4<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-solutions-class-9-maths-chapter-1\"><\/span><strong>Access answers of<\/strong>\u00a0<strong>RD Sharma Solutions Class 9 Maths Chapter 1\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Question 1: Is zero a rational number? Can you write it in the form\u00a0p\/q, where p and q are integers and q \u2260 0?<br \/>Solution:<\/strong><\/p>\n<p><em>Yes, zero is a rational number.<\/em><\/p>\n<p>It can be written in p\/q form, provided that q \u2260 0.<\/p>\n<p>For example, 0\/1 or 0\/3 or 0\/4 etc.<\/p>\n<p><strong>Question 2: Find five rational numbers between 1 and 2.<br \/>Solution:<br \/><\/strong><br \/>We know that one rational number between two numbers m and n = (m+n)\/2<\/p>\n<p>To find: 5 rational numbers between 1 and 2<\/p>\n<p>Step 1: Rational number between 1 and 2<\/p>\n<p>= (1+2)\/2<\/p>\n<p>= 3\/2<\/p>\n<p>Step 2: Rational number between 1 and 3\/2<\/p>\n<p>= (1+3\/2)\/2<\/p>\n<p>= 5\/4<\/p>\n<p>Step 3: Rational number between 1 and 5\/4<\/p>\n<p>= (1+5\/4)\/2<\/p>\n<p>= 9\/8<\/p>\n<p>Step 4: Rational number between 3\/2 and 2<\/p>\n<p>= 1\/2 [(3\/2) + 2)]<\/p>\n<p>= 7\/4<\/p>\n<p>Step 5: Rational number between 7\/4 and 2<\/p>\n<p>= 1\/2 [7\/4 + 2]<\/p>\n<p>= 15\/8<\/p>\n<p>Arrange all the results: 1 &lt; 9\/8 &lt; 5\/4 &lt; 3\/2 &lt; 7\/4 &lt; 15\/8 &lt; 2<\/p>\n<p><em>Therefore required integers are, 9\/8, 5\/4, 3\/2, 7\/4, 15\/8<\/em><\/p>\n<p><strong>Question 3: Find six rational numbers between 3 and 4.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>Steps to find n rational numbers between any two numbers:<\/p>\n<p>Step 1: Multiply and divide both the numbers by n+1.<\/p>\n<p>In this example, we have to find 6 rational numbers between 3 and 4. Here n = 6<\/p>\n<p>Multiply 3 and 4 by 7<\/p>\n<p>3 x 7\/7 = 21\/7 and<\/p>\n<p>4 x 7\/7 = 28\/7<\/p>\n<p>Step 2: Choose 6 numbers between 21\/7 and 28\/7<\/p>\n<p>3 = 21\/7 &lt; 22\/7 &lt; 23\/7 &lt; 24\/7 &lt; 25\/7 &lt; 26\/7 &lt; 27\/7 &lt; 28\/7 = 4<\/p>\n<p>Therefore, 6 rational numbers between 3 and 4 are<\/p>\n<p><em>22\/7, 23\/7, 24\/7, 25\/7, 26\/7, 27\/7<\/em><\/p>\n<p><strong>Question 4: Find five rational numbers between 3\/5 and 4\/5.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Steps to find n rational numbers between any two numbers:<\/p>\n<p>Step 1: Multiply and divide both the numbers by n+1.<\/p>\n<p>In this example, we have to find 5 rational numbers between 3\/5 and 4\/5. Here n = 5<\/p>\n<p>Multiply 3\/5 and 4\/5 by 6<\/p>\n<p>3\/5 x 6\/6 = 18\/30 and<\/p>\n<p>4\/5 x 6\/6 = 24\/30<\/p>\n<p>Step 2: Choose 5 numbers between 18\/30 and 24\/30<\/p>\n<p>3\/5 = 18\/30 &lt; 19\/30 &lt; 20\/30 &lt; 21\/30 &lt; 22\/30 &lt; 23\/30 &lt; 24\/30 = 4\/5<\/p>\n<p>Therefore, 5 rational numbers between 3\/5 and 4\/5 are<\/p>\n<p><em>19\/30, 20\/30, 21\/30, 22\/30, 23\/30<\/em><\/p>\n<p><strong>Question 5: Are the following statements true or false? Give reasons for your answer.<\/strong><\/p>\n<p><strong>(i) Every whole number is a natural number.<\/strong><\/p>\n<p><strong>(ii) Every integer is a rational number.<\/strong><\/p>\n<p><strong>(iii) Every rational number is an integer.<\/strong><\/p>\n<p><strong>(iv) Every natural number is a whole number,<\/strong><\/p>\n<p><strong>(v) Every integer is a whole number.<\/strong><\/p>\n<p><strong>(vi) Every rational number is a whole number.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0False.<\/p>\n<p><em>Reason: As 0 is not a natural number.<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0True.<\/p>\n<p><strong>(iii)<\/strong>\u00a0False.<\/p>\n<p><em>Reason: Numbers such as 1\/2, 3\/2, and 5\/3 are rational numbers but not integers.<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0True.<\/p>\n<p><strong>(v)<\/strong>\u00a0False.<\/p>\n<p><em>Reason: Negative numbers are not whole numbers.<\/em><\/p>\n<p><strong>(vi)<\/strong>\u00a0False.<\/p>\n<p><em>Reason: Proper fractions are not whole numbers.<\/em><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercise-12\"><\/span>Exercise 1.2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Express the following rational numbers as decimals.<br \/>(i) 42\/100 (ii) 327\/500 (iii) 15\/4<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-numbers-as-decimals.png\" alt=\"Rational Numbers as Decimals\" \/><br \/><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-number-as-decimals.png\" alt=\"Rational Number as Decimals\" \/><br \/><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-numbers-as-decimal.png\" alt=\"Rational Numbers as Decimal\" \/><\/p>\n<p><strong>Question 2: Express the following rational numbers as decimals.<br \/>(i) 2\/3 (ii) -4\/9 (iii) -2\/15 (iv) -22\/13 (v) 437\/999 (vi) 33\/26<br \/>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0Divide 2\/3 using long division:<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/write-rational-numbers-as-decimals.png\" alt=\"Write Rational Numbers as Decimals\" \/><\/p>\n<p><strong>(ii)<\/strong>\u00a0Divide using long division: -4\/9<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/write-rational-numbers-as-decimals-1.png\" alt=\"Write Rational Numbers as Decimals\" \/><\/p>\n<p>(iii) Divide using long division: -2\/15<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/write-rational-numbers-as-decimals-2.png\" alt=\"Write Rational Numbers as Decimals\" \/><\/p>\n<p><strong>(iv)<\/strong>\u00a0Divide using long division: -22\/13<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/write-rational-numbers-as-decimals-3.png\" alt=\"Write Rational Numbers as Decimals\" \/><\/p>\n<p><strong>(v)<\/strong>\u00a0Divide using long division: 437\/999<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/write-rational-numbers-as-decimals-4.png\" alt=\"Write Rational Numbers as Decimals\" \/><\/p>\n<p><strong>(vi)<\/strong>\u00a0Divide using long division: 33\/26<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-numbers-as-decimals-examples.png\" alt=\"Rational Numbers as Decimals examples\" \/><\/p>\n<p><strong>Question 3: Look at several examples of rational numbers in the form p\/q (q \u2260 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><em>The decimal representation will be terminating if the denominators have factors 2 or 5, or both. Therefore, p\/q is a terminating decimal when the prime factorization of q must have only powers of 2 or 5 or both.<\/em><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercise-13\"><\/span>Exercise 1.3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Express each of the following decimals in the form p\/q:<\/strong><\/p>\n<p><strong>(i) 0.39<\/strong><\/p>\n<p><strong>(ii) 0.750<\/strong><\/p>\n<p><strong>(iii) 2.15<\/strong><\/p>\n<p><strong>(iv) 7.010<\/strong><\/p>\n<p><strong>(v) 9.90<\/strong><\/p>\n<p><strong>(vi) 1.0001<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong><\/p>\n<p>0.39 =\u00a0<em>39\/100<\/em><\/p>\n<p><strong>(ii)<\/strong><\/p>\n<p>0.750 = 750\/1000 =\u00a0<em>3\/4<\/em><\/p>\n<p><strong>(iii)<\/strong><\/p>\n<p>2.15 = 215\/100 =\u00a0<em>43\/20<\/em><\/p>\n<p><strong>(iv)<\/strong><\/p>\n<p>7.010 = 7010\/1000 =\u00a0<em>701\/100<\/em><\/p>\n<p><strong>(v)<\/strong><\/p>\n<p>9.90 = 990\/100 =\u00a0<em>99\/10<\/em><\/p>\n<p><strong>(vi)<\/strong><\/p>\n<p>1.0001 =\u00a0<em>10001\/10000<\/em><\/p>\n<p><strong>Question 2: Express each of the following decimals in the form p\/q:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-chapter-1.png\" alt=\"RD Sharma Class 9 Chapter 1\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0Let x = 0.4\u0305<\/p>\n<p>or x = 0.4\u0305 = 0.444 \u2026. (1)<\/p>\n<p>Multiplying both sides by 10<\/p>\n<p>10x = 4.444 \u2026..(2)<\/p>\n<p>Subtract (1) by (2), and we get<\/p>\n<p>10x \u2013 x = 4.444\u2026 \u2013 0.444\u2026<\/p>\n<p>9x = 4<\/p>\n<p>x = 4\/9<\/p>\n<p><em>=&gt; 0.4\u0305 = 4.9<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0Let x = 0.3737.. \u2026. (1)<\/p>\n<p>Multiplying both sides by 100<\/p>\n<p>100x = 37.37\u2026 \u2026..(2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>100x \u2013 x = 37.37\u2026 \u2013 0.3737\u2026<\/p>\n<p>100x \u2013 x = 37<\/p>\n<p>99x = 37<\/p>\n<p><em>x = 37\/99<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a0Let x = 0.5454\u2026 (1)<\/p>\n<p>Multiplying both sides by 100<\/p>\n<p>100x = 54.5454\u2026. (2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>100x \u2013 x = 54.5454\u2026. \u2013 0.5454\u2026.<\/p>\n<p>99x = 54<\/p>\n<p><em>x = 54\/99<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0Let x = 0.621621\u2026 (1)<\/p>\n<p>Multiplying both sides by 1000<\/p>\n<p>1000x = 621.621621\u2026. (2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>1000x \u2013 x = 621.621621\u2026. \u2013 0.621621\u2026.<\/p>\n<p>999x = 621<\/p>\n<p>x = 621\/999<\/p>\n<p><em>or x = 23\/37<\/em><\/p>\n<p><strong>(v)<\/strong>\u00a0Let x = 125.3333\u2026. (1)<\/p>\n<p>Multiplying both sides by 10<\/p>\n<p>10x = 1253.3333\u2026. (2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>10x \u2013 x = 1253.3333\u2026. \u2013 125.3333\u2026.<\/p>\n<p>9x = 1128<\/p>\n<p>or x = 1128\/9<\/p>\n<p><em>or x = 376\/3<\/em><\/p>\n<p><strong>(vi)<\/strong>\u00a0Let x = 4.7777\u2026. (1)<\/p>\n<p>Multiplying both sides by 10<\/p>\n<p>10x = 47.7777\u2026. (2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>10x \u2013 x = 47.7777\u2026. \u2013 4.7777\u2026.<\/p>\n<p>9x = 43<\/p>\n<p><em>x = 43\/9<\/em><\/p>\n<p><strong>(vii)<\/strong>\u00a0Let x = 0.47777\u2026.<\/p>\n<p>Multiplying both sides by 10<\/p>\n<p>10x = 4.7777\u2026. \u2026(1)<\/p>\n<p>Multiplying both sides by 100<\/p>\n<p>100x = 47.7777\u2026. (2)<\/p>\n<p>Subtract (1) from (2), and we get<\/p>\n<p>100x \u2013 10x = 47.7777\u2026. \u2013 4.7777\u2026<\/p>\n<p>90x = 43<\/p>\n<p><em>x = 43\/90<\/em><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercise-14\"><\/span>Exercise 1.4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Define an irrational number.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><em>A number which cannot be expressed in the form of p\/q, where p and q are integers and q \u2260 0. It is a non-terminating or non-repeating decimal.<\/em><\/p>\n<p><strong>Question 2: Explain how irrational numbers differ from rational numbers.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><em>An irrational number is a real number which can be written as a decimal but not as a fraction i.e. it cannot be expressed as a ratio of integers.<\/em><\/p>\n<p>It cannot be expressed as terminating or repeating decimals.<\/p>\n<p>For example, \u221a2 is an irrational number<\/p>\n<p><em>A rational number is a real number which can be written as a fraction, and as a decimal i.e. it can be expressed as a ratio of integers.<\/em><\/p>\n<p>It can be expressed as a terminating or repeating decimal.<\/p>\n<p>For example, 0.10 and 5\/3 are rational numbers<\/p>\n<p><strong>Question 3: Examine whether the following numbers are rational or irrational:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-and-irrational-numbers.png\" alt=\"Rational and Irrational Numbers\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0\u221a7<\/p>\n<p><em>Not a perfect square root, so it is an irrational number.<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0\u221a4<\/p>\n<p>A perfect square root of 2.<\/p>\n<p><em>We can express 2 in the form of 2\/1, so it is a rational number.<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a02 + \u221a3<\/p>\n<p>Here, 2 is a rational number, but \u221a3 is an irrational number.<\/p>\n<p><em>Therefore, the sum of a rational and irrational number is an irrational number.<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0\u221a3 + \u221a2<\/p>\n<p>\u221a3 is not a perfect square, thus an irrational number.<\/p>\n<p>\u221a2 is not a perfect square, thus an irrational number.<\/p>\n<p><em>Therefore, the sum of \u221a2 and \u221a3 gives an irrational number.<\/em><\/p>\n<p><strong>(v)<\/strong>\u00a0\u221a3 + \u221a5<\/p>\n<p>\u221a3 is not a perfect square, and hence, it is an irrational number<\/p>\n<p>Similarly, \u221a5 is not a perfect square, and it is an irrational number.<\/p>\n<p><em>Since the sum of two irrational numbers is an irrational number, \u221a3 + \u221a5 is an irrational number.<\/em><\/p>\n<p><strong>(vi)<\/strong>\u00a0(\u221a2 \u2013 2)<sup>2<\/sup><\/p>\n<p>(\u221a2 \u2013 2)<sup>2<\/sup>\u00a0= 2 + 4 \u2013 4 \u221a2<\/p>\n<p>= 6 \u2013 4 \u221a2<\/p>\n<p>Here, 6 is a rational number but 4\u221a2 is an irrational number.<\/p>\n<p><em>Since the sum of a rational and an irrational number is an irrational number, (\u221a2 \u2013 2)2 is an irrational number.<\/em><\/p>\n<p><strong>(vii)<\/strong>\u00a0(2 \u2013 \u221a2)(2 + \u221a2)<\/p>\n<p>We can write the given expression as;<\/p>\n<p>(2 \u2013 \u221a2)(2 + \u221a2) = ((2)<sup>2<\/sup>\u00a0\u2212 (\u221a2)<sup>2<\/sup>)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"since-a-ba-%e2%80%93-b-a2-%e2%80%93-b2\"><\/span>[Since, (a + b)(a \u2013 b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>]<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>= 4 \u2013 2 = 2 or 2\/1<\/p>\n<p><em>Since 2 is a rational number, (2 \u2013 \u221a2)(2 + \u221a2) is a rational number.<\/em><\/p>\n<p><strong>(viii)<\/strong>\u00a0(\u221a3 + \u221a2)<sup>2<\/sup><\/p>\n<p>We can write the given expression as;<\/p>\n<p>(\u221a3 + \u221a2)<sup>2<\/sup>\u00a0= (\u221a3)<sup>2<\/sup>\u00a0+ (\u221a2)<sup>2<\/sup>\u00a0+ 2\u221a3 x \u221a2<\/p>\n<p>= 3 + 2 + 2\u221a6<\/p>\n<p>= 5 + 2\u221a6<\/p>\n<h3><span class=\"ez-toc-section\" id=\"using-identity-ab2-a2-2ab-b2\"><\/span>[using identity, (a+b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ 2ab + b<sup>2<\/sup>]<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><em>Since the sum of a rational number and an irrational number is an irrational number, (\u221a3 + \u221a2)<sup>2<\/sup>\u00a0is an irrational number.<\/em><\/p>\n<p><strong>(ix)<\/strong>\u00a0\u221a5 \u2013 2<\/p>\n<p>\u221a5 is an irrational number, whereas 2 is a rational number.<\/p>\n<p>The difference of an irrational number and a rational number is an irrational number.<\/p>\n<p><em>Therefore, \u221a5 \u2013 2 is an irrational number.<\/em><\/p>\n<p><strong>(x)<\/strong>\u00a0\u221a23<\/p>\n<p>Since, \u221a23 = 4.795831352331\u2026<\/p>\n<p><em>As the decimal expansion of this number is non-terminating and non-recurring, it is an irrational number.<\/em><\/p>\n<p><strong>(xi)<\/strong>\u00a0\u221a225<\/p>\n<p>\u221a225 = 15 or 15\/1<\/p>\n<p><em>\u221a225 is a rational number as it can be represented in the form of p\/q, and q is not equal to zero.<\/em><\/p>\n<p><strong>(xii)<\/strong>\u00a00.3796<\/p>\n<p><em>As the decimal expansion of the given number is terminating, it is a rational number.<\/em><\/p>\n<p><strong>(xiii)<\/strong>\u00a07.478478\u2026\u2026<\/p>\n<p><em>As the decimal expansion of this number is a non-terminating recurring decimal, it is a rational number.<\/em><\/p>\n<p><strong>(xiv)<\/strong>\u00a01.101001000100001\u2026\u2026<\/p>\n<p><em>As the decimal expansion of the given number is non-terminating and non-recurring, it is an irrational number.<\/em><\/p>\n<p><strong>Question 4: Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-and-irrational-numbers-examples.png\" alt=\"Rational and Irrational Numbers Examples\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0\u221a4<\/p>\n<p>\u221a4 = 2, which can be written in the form of a\/b. Therefore, it is a rational number.<\/p>\n<p><em>Its decimal representation is 2.0.<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a03\u221a18<\/p>\n<p>3\u221a18 = 9\u221a2<\/p>\n<p>Since the product of a rational and an irrational number is an irrational number.<\/p>\n<p><em>Therefore, 3\u221a18 is an irrational number.<\/em><\/p>\n<p>Or 3 \u00d7 \u221a18 is an irrational number.<\/p>\n<p><strong>(iii)<\/strong>\u00a0\u221a1.44<\/p>\n<p>\u221a1.44 = 1.2<\/p>\n<p>Since every terminating decimal is a rational number, \u221a1.44 is a rational number.<\/p>\n<p><em>And its decimal representation is 1.2.<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0\u221a9\/27<\/p>\n<p>\u221a9\/27 = 1\/\u221a3<\/p>\n<p><em>Since the quotient of a rational and an irrational number is irrational numbers, \u221a9\/27 is an irrational number.<\/em><\/p>\n<p><strong>(v)<\/strong>\u00a0\u2013 \u221a64<\/p>\n<p>\u2013 \u221a64 = \u2013 8 or \u2013 8\/1<\/p>\n<p>Therefore, \u2013 \u221a64 is a rational number.<\/p>\n<p><em>Its decimal representation is \u20138.0.<\/em><\/p>\n<p><strong>(vi)<\/strong>\u00a0\u221a100<\/p>\n<p>\u221a100 = 10<\/p>\n<p>Since 10 can be expressed in the form of a\/b, such as 10\/1,\u00a0\u221a100 is a rational number.<\/p>\n<p><em>And its decimal representation is 10.0.<\/em><\/p>\n<p><strong>Question 5: In the following equation, find which variables x, y, z etc. represent rational or irrational numbers:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Number System\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rational-and-irrational-numbers-examples-1.png\" alt=\"Rational and Irrational Numbers Examples\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong>\u00a0x<sup>2<\/sup>\u00a0= 5<\/p>\n<p>Taking square root on both sides,<\/p>\n<p>x = \u221a5<\/p>\n<p><em>\u221a5 is not a perfect square root, so it is an irrational number.<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0y<sup>2<\/sup>\u00a0= 9<\/p>\n<p>y<sup>2<\/sup>\u00a0= 9<\/p>\n<p>or y = 3<\/p>\n<p><em>3 can be expressed in the form of a\/b, such as 3\/1, so it is a rational number.<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a0z<sup>2<\/sup>\u00a0= 0.04<\/p>\n<p>z<sup>2<\/sup>\u00a0= 0.04<\/p>\n<p>Taking square root on both sides, we get<\/p>\n<p>z = 0.2<\/p>\n<p><em>0.2 can be expressed in the form of a\/b, such as 2\/10, so it is a rational number.<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0u<sup>2<\/sup>\u00a0= 17\/4<\/p>\n<p>Taking square root on both sides, we get<\/p>\n<p>u = \u221a17\/2<\/p>\n<p><em>Since the quotient of an irrational and a rational number is irrational, u is an Irrational number.<\/em><\/p>\n<p><strong>(v)<\/strong>\u00a0v<sup>2<\/sup>\u00a0= 3<\/p>\n<p>Taking square root on both sides, we get<\/p>\n<p>v = \u221a3<\/p>\n<p><em>Since \u221a3 is not a perfect square root, so v is an irrational number.<\/em><\/p>\n<p><strong>(vi)<\/strong>\u00a0w<sup>2<\/sup>\u00a0= 27<\/p>\n<p>Taking square root on both sides, we get<\/p>\n<p>w = 3\u221a3<\/p>\n<p><em>Since the product of a rational and irrational is an irrational number, w is an irrational number.<\/em><\/p>\n<p><strong>(vii)<\/strong>\u00a0t<sup>2<\/sup>\u00a0= 0.4<\/p>\n<p>Taking square root on both sides, we get<\/p>\n<p>t = \u221a(4\/10)<\/p>\n<p>t = 2\/\u221a10<\/p>\n<p><em>Since the quotient of a rational and an irrational number is an irrational number, t is an irrational number.<\/em><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-topics-rd-sharma-solutions-class-9-maths-chapter-1\"><\/span><strong>Important Topics: RD Sharma Solutions Class 9 Maths Chapter 1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Number System Introduction<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Review of Numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The decimal representation of rational numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Conversion of decimal numbers into rational numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Conversion of decimal numbers into rational numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Irrational Numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Some useful results on Irrational Numbers<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Representing Irrational Numbers on the Number Line<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Real Numbers and real number line<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Existence of the square root of a positive real number<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Visualization of representation of real numbers<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">In the end, we are here with everything that one needs to finish their syllabus with ease and right on time. Here is RD Sharma Solutions Class 9 Mathematics Chapter 1 Number System. If you have any doubts regarding the <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> Class 9 exams, ask in the comments.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-9-maths-chapter-1\"><\/span><strong>FAQs on RD Sharma Solutions Class 9 Maths Chapter 1\u00a0<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630652670040\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-class-9-maths-chapter-1\"><\/span>How much does it cost to download the PDF of RD Sharma Solutions Class 9 Maths Chapter 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630652777325\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-class-9-maths-chapter-1\"><\/span>How many questions are there in RD Sharma Solutions Class 9 Maths Chapter 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 21 questions in\u00a0RD Sharma Solutions Class 9 Maths Chapter 1.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630652818287\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-1-pdf-offline\"><\/span>Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline as well.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 9 Maths Chapter 1 Number System: Looking for some quality study material to help yourself with Class 9 mathematics preparation? Well, we got you covered with RD Sharma Solutions Class 9 Maths right there. Download the Free PDF of RD Sharma Solutions Class 9 Maths Chapter 1 from the download link &#8230; <a title=\"RD Sharma Solutions Class 9 Maths Chapter 1 &#8211; Number System (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/\" aria-label=\"More on RD Sharma Solutions Class 9 Maths Chapter 1 &#8211; Number System (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":124402,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3081,3037,3086],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61444"}],"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\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=61444"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61444\/revisions"}],"predecessor-version":[{"id":501198,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61444\/revisions\/501198"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/124402"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}