{"id":66522,"date":"2020-12-29T12:25:39","date_gmt":"2020-12-29T06:55:39","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=66522"},"modified":"2021-01-22T22:24:19","modified_gmt":"2021-01-22T16:54:19","slug":"rd-sharma-chapter-1-class-10-maths-exercise-1-5-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-10-maths-exercise-1-5-solutions\/","title":{"rendered":"RD Sharma Chapter 1 Class 10 Maths Exercise 1.5 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 1.5 Solutions: It consists of 12 questions, and all the questions are based on rational and irrational numbers. All the questions follow the same pattern and you have to test the questions based on the equation or positive prime 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-69cffe79369b5\" 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-69cffe79369b5\"><\/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-1-5-solutions\/#download-rd-sharma-chapter-1-class-10-maths-exercise-15-solutions\" title=\"Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.5 Solutions\">Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.5 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-1-5-solutions\/#important-definition-for-rd-sharma-chapter-1-class-10-maths-exercise-15-solutions\" title=\"Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.5 Solutions\">Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.5 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-1-class-10-maths-exercise-15-solutions\"><\/span>Download RD Sharma Chapter 1 Class 10 Maths Exercise 1.5 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-1.5.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-1.5.pdf\">RD Sharma Solutions Class 10 Maths Chapter 1 Ex 1.5<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rd-sharma-chapter-1-class-10-maths-exercise-15-solutions\"><\/span>Important Definition for RD Sharma\u00a0Chapter 1 Class 10 Maths Exercise 1.5 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 1.5 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-1-class-10-maths-exercise-1-5-solutions\/\" aria-label=\"More on RD Sharma Chapter 1 Class 10 Maths Exercise 1.5 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":66801,"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\/66522"}],"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=66522"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66522\/revisions"}],"predecessor-version":[{"id":71072,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66522\/revisions\/71072"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/66801"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=66522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=66522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=66522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}