{"id":66523,"date":"2020-12-29T12:25:37","date_gmt":"2020-12-29T06:55:37","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=66523"},"modified":"2021-01-22T22:24:24","modified_gmt":"2021-01-22T16:54:24","slug":"rd-sharma-chapter-1-class-10-maths-exercise-1-6-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-10-maths-exercise-1-6-solutions\/","title":{"rendered":"RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 1 Class 10 Maths Exercise 1.1 Solutions -Real Number is written by expert mathematics teachers. The solutions in the chapter are written according to RD Sharma&#8217;s latest Class 10 Mathematics Solutions course. This chapter will introduce you to real numbers. Here you will learn about Euclid&#8217;s division lemma and Euclid&#8217;s division algorithm. This chapter also introduces you to the fundamental principle of arithmetic, the fundamental factor, the method of application of LCM, HCF, and HCF and LCM in real-world problems.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-maths-solutions-chapter-1-real-numbers\/\">RD Sharma Chapter 1<\/a><span style=\"font-size: inherit; background-color: initial;\"> Class 10 Maths Exercise 1.6 Solutions: There are 5 questions in total. Questions 1, 2 and 3 are based on rational numbers. In this, you have to find the decimal expansion of the mentioned numbers, indicating. Question 4 is based on the principal factor method. Question 5 is based on rational numbers.<\/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-69d3e8ae1c7bd\" 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-69d3e8ae1c7bd\"><\/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-10-maths-exercise-1-6-solutions\/#download-rd-sharma-chapter-1-class-10-maths-exercise-16-solutions\" title=\"Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions\">Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions<\/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-10-maths-exercise-1-6-solutions\/#important-definition-for-rd-sharma-chapter-1-class-10-maths-exercise-16-solutions\" title=\"Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.6 Solutions\">Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.6 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-1-class-10-maths-exercise-16-solutions\"><\/span>Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions<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\/2020\/12\/RD-Sharma-Solutions-Class-10-Maths-Chapter-1-Ex-1.6.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-Sharma-Solutions-Class-10-Maths-Chapter-1-Ex-1.6.pdf\">RD Sharma Solutions Class 10 Maths Chapter 1 Ex 1.6<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rd-sharma-chapter-1-class-10-maths-exercise-16-solutions\"><\/span>Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.6 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><strong>Euclid\u2019s Division Lemma<\/strong><\/li>\n<\/ul>\n<p>This section also teaches you about Euclid\u2019s Division Lemma. It states that the given two integers a and b, there always exists a unique pair of integers which are named as q and r such that a=b\u00d7q+r and 0\u2264r&lt;b.<\/p>\n<ul>\n<li><strong>Euclid\u2019s Division Algorithm<\/strong><\/li>\n<\/ul>\n<p>This part of Class 10 Maths Real Numbers teaches you about Euclid\u2019s algorithm theorem. It tells you how Euclid\u2019s Division Algorithm is based on Euclid\u2019s Division Lemma.\u00a0<\/p>\n<p>Here you will also come to know how to find the HCF of the two given numbers with Euclid\u2019s Division Algorithm say p and g, where p&gt;g. Now, if we are applying Euclid\u2019s theorem to this, then p=g\u00d7q+r and 0\u2264r&lt;g.<\/p>\n<p>Suppose, if we consider r=0, with the HCF as g, now, if we apply Euclid\u2019s division Lemma to g(the divisor) and r (the remainder). With this, we get another pair of remainder and quotient. This method is repeated until a remainder 1 is attained. The divisor that step is the HCF of the given set of numbers.<\/p>\n<ul>\n<li><strong>The Fundamental Theorem of Arithmetic\u00a0<\/strong><\/li>\n<\/ul>\n<p>This section of\u00a0RD Sharma Solutions\u00a0for Class 10 Maths Chapter 1-Real Numbers, introduces you to prime factorisation and how it is the method of representing a natural number through the multiplication of prime numbers. For example, 36=2 x 2 x3 x 3 is the prime factorisation of 36.<\/p>\n<p>It also explains the Fundamental Theorem of Arithmetic which states that the prime factorisation of the given number should be unique if the arrangement of prime factors is ignored.<\/p>\n<p>For Example 36= 2 x 2 x 3 x 3 or 36 = 2 x 3 x 2 x 3.<\/p>\n<p>In this section, you\u2019ll also learn the method of finding LCM, method of finding HCF, the product of two numbers which is HCF X LCM of the two numbers and application of HCF and LCM in real-world problems.<\/p>\n<ul>\n<li><strong>Revisiting Irrational Numbers<\/strong><\/li>\n<\/ul>\n<p>This element of Class 10 Maths Real Numbers, explains about the irrational numbers. Basically, these are the numbers which cannot be expressed in the form of a fraction (p\/q). Examples of Irrational numbers are \u221a2,\u03c0, and e.\u00a0<\/p>\n<p>You\u2019ll\u00a0also learn about the number theory, proof of contradiction.<\/p>\n<ul>\n<li><strong>Revisiting Rational Numbers and Their Decimal Expansions<\/strong><\/li>\n<\/ul>\n<p>This element of RD Sharma Solutions for Class 10 Maths Chapter 1-Real Numbers, teaches you about the terminating and non-terminating decimals.\u00a0<\/p>\n<ol>\n<li>When a number stops at a certain point, then it is called terminating decimal.<br \/>Example: 8.42, 7.58. 1.23, and so on.\u00a0<\/li>\n<li>When a decimal number doesn\u2019t terminate after a certain point, then it is considered as non-terminating decimals.\u00a0<\/li>\n<\/ol>\n<p>Know more at the <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">official website<\/a>.<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 1 Class 10 Maths Exercise 1.1 Solutions -Real Number is written by expert mathematics teachers. The solutions in the chapter are written according to RD Sharma&#8217;s latest Class 10 Mathematics Solutions course. This chapter will introduce you to real numbers. Here you will learn about Euclid&#8217;s division lemma and Euclid&#8217;s division algorithm. &#8230; <a title=\"RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-10-maths-exercise-1-6-solutions\/\" aria-label=\"More on RD Sharma Chapter 1 Class 10 Maths Exercise 1.6 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":66804,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2917,73396,73718,73411,2985,73410],"tags":[3243,9206,73520],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66523"}],"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\/236"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=66523"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66523\/revisions"}],"predecessor-version":[{"id":71073,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66523\/revisions\/71073"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/66804"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=66523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=66523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=66523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}