{"id":125038,"date":"2023-09-13T18:49:00","date_gmt":"2023-09-13T13:19:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=125038"},"modified":"2023-11-13T12:00:17","modified_gmt":"2023-11-13T06:30:17","slug":"rd-sharma-class-10-solutions-chapter-1-exercise-1-6","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-6\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-125049\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-1-Exercise-1.6.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-1-Exercise-1.6.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-1-Exercise-1.6-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6:\u00a0<\/strong>The questions in this exercise are designed to help students comprehend when a rational number&#8217;s decimal expansion is terminating and when it is non-terminating recurring. <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Solutions Class 10<\/strong><\/a> is the best source for understanding the correct approaches for tackling such questions and achieving excellent exam scores. Students may also get the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-real-numbers\/\"><strong>RD Sharma Solutions for Class 10 Maths Chapter 1 Real Numbers<\/strong><\/a> Exercise 1.6 PDF from the below link.<\/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-69e7dc99d5159\" 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\" 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-6\/#download-rd-sharma-class-10-solutions-chapter-1-exercise-16-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-6\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-1-exercise-16-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.6- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.6- Important Question with Answers<\/a><\/li><\/ul><\/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-class-10-solutions-chapter-1-exercise-1-6\/#faqs-on-rd-sharma-class-10-solutions-chapter-1-exercise-16\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6\">FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6<\/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-class-10-solutions-chapter-1-exercise-1-6\/#where-can-i-download-rd-sharma-class-10-solutions-chapter-1-exercise-16-free-pdf\" title=\"Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 free PDF?\">Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 free PDF?<\/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-class-10-solutions-chapter-1-exercise-1-6\/#is-it-required-to-remember-all-of-the-questions-in-chapter-1-exercise-16-of-rd-sharma-solutions-for-class-10-maths\" title=\"Is it required to remember all of the questions in Chapter 1 Exercise 1.6 of RD Sharma Solutions for Class 10 Maths?\">Is it required to remember all of the questions in Chapter 1 Exercise 1.6 of RD Sharma Solutions for Class 10 Maths?<\/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-class-10-solutions-chapter-1-exercise-1-6\/#what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-1-exercise-16\" title=\"What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6?\">What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-1-exercise-16-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 Free 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: 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\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-1-Exercise-1.6.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-1-Exercise-1.6.pdf\">RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 PDF<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-1-exercise-16-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 1 Exercise 1.6- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Question 1.<\/p>\n<p>Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.<br \/><img src=\"https:\/\/farm1.staticflickr.com\/885\/41706667044_254b75f575_o.png\" alt=\"RD Sharma Class 10 Chapter 1 Real Numbers Ex 1.6\" width=\"360\" height=\"245\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1729\/42429835331_ec257a65e2_o.png\" alt=\"RD Sharma Class 10 Solutions Real Numbers\" width=\"350\" height=\"112\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1734\/41706665964_1801fc1313_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 1 Real Numbers\" width=\"358\" height=\"480\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1737\/41706666334_82d1f29b4e_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 1 Real Numbers\" width=\"356\" height=\"471\" \/><br \/><img src=\"https:\/\/farm1.staticflickr.com\/885\/41706666664_43d5fac057_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 1 Real Numbers\" width=\"357\" height=\"562\" \/><br \/>Since, the denominator is of the form 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>, the rational number has a terminating decimal expansion.<\/p>\n<p>Question 2.<br \/>Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>, where m and n are non-negative integers:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1738\/42429836191_a2cfa33be7_o.png\" alt=\"Learncbse.In Class 10 Chapter 1 Real Numbers \" width=\"279\" height=\"186\" \/><br \/>Solution:<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1735\/41706667214_58ac8e7564_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 1 Real Numbers\" width=\"370\" height=\"494\" \/><br \/><img src=\"https:\/\/farm2.staticflickr.com\/1737\/41706667454_2facbdeaa9_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 1 Real Numbers\" width=\"366\" height=\"432\" \/><br \/><img src=\"https:\/\/farm1.staticflickr.com\/874\/41706667724_ba193d4f9f_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 1 Real Numbers Ex 1.6\" width=\"347\" height=\"532\" \/><\/p>\n<p>Question 3.<br \/>Write the denominator of the rational number\u00a0\\frac { 257 }{ 5000 }\u00a0in the form 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>\u00a0, where m, n are non-negative integers. Hence, write the decimal expansion, without actual division.<br \/>Solution:<br \/><img src=\"https:\/\/farm1.staticflickr.com\/886\/42429836491_e301cdb622_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 1 Real Numbers\" width=\"345\" height=\"241\" \/><br \/><img src=\"https:\/\/farm1.staticflickr.com\/885\/42429836371_367e8b9a16_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 1 Real Numbers Ex 1.6\" width=\"333\" height=\"297\" \/><\/p>\n<p>Question 4.<br \/>What can you say about the prime factorisations of the denominators of the following rationals :<br \/>Solution:<br \/>(i) 43.123456789<br \/>This decimal fraction is terminating Its denominator will be factorised in the form of 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>\u00a0where m and n are non-negative integers.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1723\/41706669044_c101bef1e0_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 1 Real Numbers\" width=\"147\" height=\"39\" \/><br \/>This decimal fraction is non-terminating repeating decimals.<br \/>The denominator of their fraction will be not in the form of 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>\u00a0where m and n are non-negative integers.<br \/><img src=\"https:\/\/farm1.staticflickr.com\/902\/41706668494_8e063138f6_o.png\" alt=\"Class 10 RD Sharma Chapter 1 Real Numbers Ex 1.6\" width=\"121\" height=\"36\" \/><br \/>This decimal fraction is terminating<br \/>Its denominator will be factorised in the form of 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>\u00a0where m and n are non-negative integers<br \/>(iv) 0.120120012000120000 \u2026\u2026\u2026..<br \/>This decimal fraction in non-terminating non recurring<br \/>Its denominator will not be factorised in the form of 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>\u00a0where m and n are non negative integers<\/p>\n<p>Question 5.<br \/>A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form\u00a0\\frac { p }{ q }\u00a0? Give reasons. [NCERT Exemplar]<br \/>Solution:<br \/>327.7081 is terminating decimal number. So, it represents a rational number and also its denominator must have the form 2<sup>m<\/sup>\u00a0x 5<sup>n<\/sup>.<br \/><img src=\"https:\/\/farm2.staticflickr.com\/1760\/41706669664_d884291d72_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Chapter 1 Real Numbers Ex 1.6\" width=\"345\" height=\"119\" \/><br \/>Hence, the prime factors of q is 2 and 5.<\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a> Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-1-exercise-16\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6<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-1631019503805\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-class-10-solutions-chapter-1-exercise-16-free-pdf\"><\/span>Where can I download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631019662215\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-required-to-remember-all-of-the-questions-in-chapter-1-exercise-16-of-rd-sharma-solutions-for-class-10-maths\"><\/span>Is it required to remember all of the questions in Chapter 1 Exercise 1.6 of RD Sharma Solutions for Class 10 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 1 Exercise 1.6 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631019798876\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-rd-sharma-class-10-solutions-chapter-1-exercise-16\"><\/span>What are the benefits of using RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>1. Correct answers according to the last CBSE guidelines and syllabus.<br \/>2. The solutions are written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6:\u00a0The questions in this exercise are designed to help students comprehend when a rational number&#8217;s decimal expansion is terminating and when it is non-terminating recurring. RD Sharma Solutions Class 10 is the best source for understanding the correct approaches for tackling such questions and achieving excellent exam &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-1-exercise-1-6\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 1 Exercise 1.6 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":125049,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125038"}],"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\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=125038"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125038\/revisions"}],"predecessor-version":[{"id":506726,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/125038\/revisions\/506726"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/125049"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=125038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=125038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=125038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}