{"id":43321,"date":"2022-05-31T11:30:51","date_gmt":"2022-05-31T06:00:51","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=43321"},"modified":"2023-01-25T11:29:39","modified_gmt":"2023-01-25T05:59:39","slug":"ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/","title":{"rendered":"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3"},"content":{"rendered":"

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3<\/h2>\n

Question 1.
\nMultiply and express the result in the lowest form:
\n\"ML
\nSolution:
\n\"ML
\n\"ML<\/p>\n

Question 2.
\nVerify commutative property of multiplication for the following pairs of rational numbers:
\n(i) \\(\\frac { 4 }{ 5 }\\) and \\(\\frac { -7 }{ 8 }\\)
\n(ii) 13\\(\\frac { 1 }{ 3 }\\) and 1\\(\\frac { 1 }{ 8 }\\)
\n(iii) \\(\\frac { -7 }{ -20 }\\) and \\(\\frac { 5 }{ -14 }\\)
\nSolution:
\n\"ML
\n\"ML<\/p>\n

Question 3.
\nVerify the following and name the property also:
\n\"ML
\nSolution:
\n\"ML
\n\"ML
\n\"ML<\/p>\n

Question 4.
\nFind the multiplication inverse of the following:
\n\"ML
\nSolution:
\nMultiplication inverse of:
\n\"ML<\/p>\n

Question 5.
\nUsing the appropriate properties of operations of rational numbers, evaluate the following:
\n\"ML
\n\"ML
\nSolution:
\n\"ML
\n\"ML
\n\"ML<\/p>\n

Question 6.
\nIf p = \\(\\frac { -8 }{ 27 }\\), q = \\(\\frac { 3 }{ 4 }\\) and r = \\(\\frac { -12 }{ 15 }\\), then verify that
\n(i) p \u00d7 (q \u00d7 r) = (p \u00d7 q) \u00d7 r
\n(ii) p \u00d7 (q – r) = p \u00d7 q – p \u00d7 r
\nSolution:
\n\"ML
\n\"ML
\n\"ML<\/p>\n

Question 7.
\nFill in the following blanks:
\n\"ML
\n(ix) The reciprocal of 0 is …….
\n(x) The numbers ……… and ……. are their own reciprocals.
\n(xi) If y be the reciprocal of x, then the reciprocal of y2<\/sup> in terms of x will be ………
\n(xii) The product of a non-zero rational number and its reciprocal is ………
\n(xiii) The reciprocal of a negative rational number is ………..
\nSolution:
\n\"ML
\n\"ML
\n\"ML
\n(ix) The reciprocal of 0 is not defined.
\n(x) The numbers 1 and -1 are their own reciprocals.
\n(xi) If y be the reciprocal of x, then the reciprocal of y2 in terms of x will be x2.
\n(xii) The product of a non-zero rational number and its reciprocal is 1.
\n(xiii) The reciprocal of a negative rational number is a negative rational number.<\/p>\n

Question 8.
\nIf \\(\\frac { 4 }{ 5 }\\) the multiplicative inverse of -1\\(\\frac { 1 }{ 4 }\\) ? Why or why not?
\nSolution:
\nNo, multiplication inverse of \\(\\frac { 4 }{ 5 }\\) is \\(\\frac { 5 }{ 4 }\\) not \\(\\frac { -5 }{ 4 }\\)<\/p>\n

Question 9.
\nUsing distributivity, find
\n\"ML
\nSolution:
\n\"ML
\n\"ML<\/p>\n

Question 10.
\nFind the sum of additive inverse and multiplicative inverse of 9.
\nSolution:
\nAdditive inverse of 9 = -9
\nMultiplicative inverse of 9 = \\(\\frac { 1 }{ 9 }\\)
\n\"ML<\/p>\n

Question 11.
\nFind the product of additive inverse and multiplicative inverse of \\(\\frac { -3 }{ 7 }\\)
\nSolution:
\n\"ML<\/p>\n

ML Aggarwal Class 8 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Question 1. Multiply and express the result in the lowest form: Solution: Question 2. Verify commutative property of multiplication for the following pairs of rational numbers: (i) and (ii) 13 and 1 (iii) and Solution: Question 3. Verify the following and … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"\nML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Question 1. Multiply and express the result in the lowest form: Solution: Question 2. Verify commutative property of multiplication for the following pairs of rational numbers: (i) and (ii) 13 and 1 (iii) and Solution: Question 3. Verify the following and ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-05-31T06:00:51+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-25T05:59:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-1-Rational-Numbers-Ex-1.3-Q1.1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-1-Rational-Numbers-Ex-1.3-Q1.1.png\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2019\/06\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-1-Rational-Numbers-Ex-1.3-Q1.1.png\",\"width\":293,\"height\":121,\"caption\":\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 Q1.1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/ml-aggarwal-class-8-solutions-for-icse-maths-chapter-1-ex-1-3\/\",\"name\":\"ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.3 - 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