{"id":68667,"date":"2023-06-18T23:21:00","date_gmt":"2023-06-18T17:51:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=68667"},"modified":"2023-12-26T10:56:04","modified_gmt":"2023-12-26T05:26:04","slug":"rs-aggarwal-class-8-maths-chapter-1-ex-1-6","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/","title":{"rendered":"RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions 2024 | Download Free PDF"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-68669\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/1.6-1.jpg\" alt=\"RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/1.6-1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/1.6-1-768x432.jpg 768w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/1.6-1-150x84.jpg 150w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions<\/strong> \u2013 The experienced Mathematics faculty have prepared this exercise solution to ensure that the students are thorough with their basic concepts &amp; assist them in clearing their doubts. The students will learn the properties of rational numbers which include the existence of a multiplicative identity, multiplication by 0, and distributivity of multiplication over addition. Each question is presented step by step along with the important definitions &amp; formulas.<\/p>\n<p>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions are framed by experts by the CBSE syllabus for the 8<sup>th<\/sup> Class. The exercise-wise solutions are explained in a simple &amp; easily understandable language which assists students to excel in their exams. These solutions enable the students to revise the whole syllabus &amp; prepare effectively for the final Maths exams &amp; to secure excellent marks. The students can effortlessly study &amp; practice this exercise solution in online as well as offline mode.<\/p>\n<p>Access <a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-8-maths-chapter-1-rational-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\">RS Aggarwal Class 8 Maths Chapter 1 Solutions<\/a> PDF<strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong><\/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 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id=\"item-69d9dc8d54efc\"><\/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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#download-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\" title=\"Download RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions\">Download RS Aggarwal Class 8 Maths Chapter 1 Ex 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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#important-definition-for-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\" title=\"Important Definition for RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions\">Important Definition for RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#faqs-on-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\" title=\"FAQs On RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions\">FAQs On RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions<\/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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#from-where-can-i-download-the-pdf-of-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\" title=\"From where can I download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?\">From where can I download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?<\/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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#how-much-does-it-cost-to-download-the-pdf-of-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\" title=\"How much does it cost to download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?\">How much does it cost to download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?<\/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\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/#can-i-access-the-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions-offline\" title=\"Can I access the RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions offline?\">Can I access the RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\"><\/span><strong>Download <\/strong><strong>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions<\/strong><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\/RS-Aggarwal-Class-8-Maths-Chapter-1-Rational-Numbers-Ex.-1.6-Solutions.pdf\", \"#example1\");<\/script><\/p>\n<p><strong> <a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RS-Aggarwal-Class-8-Maths-Chapter-1-Rational-Numbers-Ex.-1.6-Solutions.pdf\">RS Aggarwal Class 8 Maths Chapter 1 Rational Numbers Ex. 1.6 Solutions<\/a><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\"><\/span><strong>Important Definition for <\/strong><strong>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><strong>Closure Property of Multiplication of Rational Numbers<\/strong><\/li>\n<\/ul>\n<p>Rational Numbers are closed under Multiplication. Suppose 2 rational numbers a\/b, c\/d then their product (a\/b x c\/d) is also a Rational Number.<\/p>\n<p>Assume 2 rational numbers 1\/3 &amp; 4\/7<\/p>\n<p>1\/3 x 4\/7 = 4\/21<\/p>\n<p>Thus, 4\/21 is also a Rational Number.<\/p>\n<ul>\n<li><strong>Commutative Property of Multiplication of Rational Numbers<\/strong><\/li>\n<\/ul>\n<p>Multiplication of Rational Numbers is Commutative. 2 Rational Numbers can be multiplied in any order. Suppose 2 rational numbers a\/b, c\/d then (a\/b x c\/d) = (c\/d x a\/b)<\/p>\n<p>Assume 2 Rational Numbers 3\/4 &amp; 5\/2<\/p>\n<p>(3\/4 x 5\/2) = 3\/4 x 5\/2 = 15\/8<\/p>\n<p>(5\/2 x 3\/4) = 5\/2 x 3\/4 = 15\/8<\/p>\n<p>Thus, (3\/4 x 5\/2) = (5\/2 x 3\/4)<\/p>\n<ul>\n<li><strong>Associative Property of Multiplication of Rational Numbers<\/strong><\/li>\n<\/ul>\n<p>Rational Numbers follow the Associative Property of Multiplication. While Multiplying 3 or more Rational Numbers they can be arranged in any order. Suppose Rational Numbers a\/b, c\/d, e\/f then (a\/b \u00d7 c\/d) \u00d7 e\/f = a\/b \u00d7 (c\/d \u00d7 e\/f)<\/p>\n<p>Assume Rational Numbers 1\/2, 4\/5, 6\/4<\/p>\n<p>(1\/2 x 4\/5) x 6\/4 = (1x 4\/2 x 5) x 6\/4<\/p>\n<p>= (4\/10) x 6\/4 = 4 x 6\/10 x 4 = 24\/40<\/p>\n<p>1\/2 x (4\/5 x 6\/4) = 1\/2 x (4 x 6\/5 x 4)\u00a0 = 1\/2 x (24\/20) = 24\/40<\/p>\n<p>Hence, (1\/2 x 4\/5) x 6\/4 = 1\/2 x (4\/5 x 6\/4)<\/p>\n<ul>\n<li><strong>Existence of Multiplicative Identity Property<\/strong><\/li>\n<\/ul>\n<p>For a Rational Number a\/b, (a\/b x 1) = (1 x a\/b) = a\/b. 1 is the Multiplicative Identity of Rational.<\/p>\n<p>Assume the Rational Number 4\/3<\/p>\n<p>(4\/3 x 1) = (4\/3 x 1\/1) = (4 x 1\/3 x 1) = 4\/3<\/p>\n<p>(1 x 4\/3) = (1\/1 x 4\/3) = (1 x 4\/1 x 3) = 4\/3<\/p>\n<p>(4\/3 x 1) = (1 x 4\/3) = 4\/3<\/p>\n<ul>\n<li><strong>Existence of Multiplicative Inverse Property<\/strong><\/li>\n<\/ul>\n<p>Nonzero rational number a\/b has multiplicative inverse b\/a.<\/p>\n<p>(a\/b x b\/a) = (b\/a x a\/b) = 1<\/p>\n<p>b\/a is known as the Reciprocal of a\/b. Zero has no reciprocal.<\/p>\n<p>For instance: Reciprocal of 4\/7 is 7\/4 since 4\/7 x 7\/4 = 1<\/p>\n<ul>\n<li><strong>Distributive Property of Multiplication over Addition<\/strong><\/li>\n<\/ul>\n<p>Consider 3 rational numbers a\/b, c\/d, e\/f . Distributive Property states that a\/b x (c\/d + e\/f) = (a\/b x c\/d + a\/b x e\/f)<\/p>\n<p>Assume 3 Rational Numbers 1\/3, 4\/5, 7\/8<\/p>\n<p>1\/3 x (4\/5 + 7\/8) = 1\/3 x {(4 x 8 + 7 x 5) \/ 40}<\/p>\n<p>= 1\/3 x (67\/40) = 67\/120<\/p>\n<p>(1\/3 x 4\/5 + 1\/3 x 7\/8) = (1 x 4\/3 x 5 + 1 x 7\/3 x 8)<\/p>\n<p>= (4\/15 + 7\/24) = (4 x 8 + 7 x 5)\/120 = 32 + 35\/120 = 67\/120<\/p>\n<p>Hence, 1\/3 x (4\/5 + 7\/8) = (1\/3 x 4\/5 + 1\/3 x 7\/8)<\/p>\n<ul>\n<li><strong>Multiplicative Property of 0<\/strong><\/li>\n<\/ul>\n<p>Any Rational Number multiplied by 0 gives 0. For a Rational Number a\/b, (a\/b x 0) = (0 x a\/b) = 0<\/p>\n<p>For instance: (4\/7 x 0) = (4\/7 x 0\/1) = (4 x 0\/7 x 1) = 0<\/p>\n<p>Similarly (0 x 4\/7) = (0\/1 x 4\/7) = 0<\/p>\n<p>Know more at the <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">official website<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\"><\/span>FAQs On <strong>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions<\/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-1703223464460\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-download-the-pdf-of-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\"><\/span>From where can I download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1703223516617\" 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-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions\"><\/span>How much does it cost to download the PDF of RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions?<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-1703223546505\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-class-8-maths-chapter-1-ex-16-solutions-offline\"><\/span>Can I access the RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions 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>RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions \u2013 The experienced Mathematics faculty have prepared this exercise solution to ensure that the students are thorough with their basic concepts &amp; assist them in clearing their doubts. The students will learn the properties of rational numbers which include the existence of a multiplicative identity, &#8230; <a title=\"RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions 2024 | Download Free PDF\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-class-8-maths-chapter-1-ex-1-6\/\" aria-label=\"More on RS Aggarwal Class 8 Maths Chapter 1 Ex 1.6 Solutions 2024 | Download Free PDF\">Read more<\/a><\/p>\n","protected":false},"author":239,"featured_media":68669,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,73722,73412,73410],"tags":[73326,3543],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68667"}],"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\/239"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=68667"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68667\/revisions"}],"predecessor-version":[{"id":526630,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/68667\/revisions\/526630"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/68669"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=68667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=68667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=68667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}