{"id":602423,"date":"2022-05-14T07:01:42","date_gmt":"2022-05-14T07:01:42","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=602423"},"modified":"2022-05-17T04:09:36","modified_gmt":"2022-05-17T04:09:36","slug":"ml-aggarwal-solutions-for-class-7-maths-chapter-3-rational-numbers","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-3-rational-numbers\/","title":{"rendered":"ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers"},"content":{"rendered":"\n<p>Class 7: Maths Chapter 3 solutions. Complete Class 7 Maths Chapter 3 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ml-aggarwal-solutions-for-class-7-maths-chapter-3-rational-numbers\">ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers<\/h2>\n\n\n\n<p>ML Aggarwal 7th Maths Chapter 3, Class 7 Maths Chapter 3 solutions<\/p>\n\n\n\n<p><strong>1. Which of the following are positive rational numbers?<\/strong><\/p>\n\n\n\n<p><strong>5\/8, -3\/11, 0\/5, 7, -4, -3\/-13, -17\/-6, 9\/-20.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The positive rational numbers are:<\/p>\n\n\n\n<p>5\/8, 0\/5, 7, -3\/-13, -17\/-6.<\/p>\n\n\n\n<p><strong>2. Which of the following are negative rational numbers?<\/strong><\/p>\n\n\n\n<p><strong>-5\/7, 4\/-3, -3\/-11, -6, 9, 0, -28\/5, 31\/7.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The negative rational numbers are:<\/p>\n\n\n\n<p>-5\/7, 4\/-3, -6, -28\/5.<\/p>\n\n\n\n<p><strong>3. Find four rational numbers equivalent to each of the following rational numbers:<br>(i) 3\/-7&nbsp;<br>(ii)&nbsp;-5\/-9<br>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;3\/-7<\/p>\n\n\n\n<p>Let us find the equivalent numbers:<\/p>\n\n\n\n<p>Firstly multiply and divide by 2,<\/p>\n\n\n\n<p>(3\/-7) \u00d7 (2\/2) = 6\/-14<\/p>\n\n\n\n<p>Similarly, multiply and divide by 3,<\/p>\n\n\n\n<p>(3\/-7) \u00d7 (3\/3) = 9\/-21<\/p>\n\n\n\n<p>Multiply and divide by 4,<\/p>\n\n\n\n<p>(3\/-7) \u00d7 (4\/4) = 12\/-28<\/p>\n\n\n\n<p>Multiply and divide by 5,<\/p>\n\n\n\n<p>(3\/-7) \u00d7 (5\/5) = 15\/-35<\/p>\n\n\n\n<p>Hence, four equivalent rational numbers are:<\/p>\n\n\n\n<p>6\/-14, 9\/-21, 12\/-28, 15\/-35<\/p>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;-5\/-9<\/p>\n\n\n\n<p>Let us find the equivalent numbers:<\/p>\n\n\n\n<p>Firstly multiply and divide by 2,<\/p>\n\n\n\n<p>(-5\/-9) \u00d7 (2\/2) = -10\/-18 = 10\/18<\/p>\n\n\n\n<p>Similarly, multiply and divide by 3,<\/p>\n\n\n\n<p>(-5\/-9) \u00d7 (3\/3) = -15\/-27 = 15\/27<\/p>\n\n\n\n<p>Multiply and divide by 4,<\/p>\n\n\n\n<p>(-5\/-9) \u00d7 (4\/4) = -20\/-36 = 20\/36<\/p>\n\n\n\n<p>Multiply and divide by 5,<\/p>\n\n\n\n<p>(-5\/-9) \u00d7 (5\/5) = -25\/-45 = 25\/45<\/p>\n\n\n\n<p>Hence, four equivalent rational numbers are:<\/p>\n\n\n\n<p>10\/18, 15\/27, 20\/36, 25\/45<\/p>\n\n\n\n<p><strong>4. Write each of the following rational numbers with positive denominators:<br>(i)&nbsp;4\/-9<br>(ii)&nbsp;17\/-33<br>(iii)&nbsp;-15\/-38<br>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;4\/-9 = -4\/9<\/p>\n\n\n\n<p><br><strong>(ii)<\/strong>&nbsp;17\/-33 = -17\/33<\/p>\n\n\n\n<p><br><strong>(iii)<\/strong>&nbsp;-15\/-38 = 15\/38<\/p>\n\n\n\n<p><strong>5. Write next four rational numbers in each of the following patterns:<\/strong><\/p>\n\n\n\n<p><strong>(i) -1\/4, -2\/8, -3\/12, -4\/16, \u2026.<\/strong><\/p>\n\n\n\n<p><strong>(ii) 2\/-3, -4\/6, -6\/9, -8\/12, \u2026..<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;-1\/4, -2\/8, -3\/12, -4\/16, \u2026.<\/p>\n\n\n\n<p>The next four rational numbers in the same patterns are:<\/p>\n\n\n\n<p>-1\/4, -2\/8, -3\/12, -4\/16, -5\/20, -6\/24, -7\/28, -8\/32<\/p>\n\n\n\n<p><strong>(ii)&nbsp;<\/strong>2\/-3, -4\/6, -6\/9, -8\/12, \u2026..<\/p>\n\n\n\n<p>The next four rational numbers in the same patterns are:<\/p>\n\n\n\n<p>2\/-3, -4\/6, -6\/9, -8\/12, -10\/15, -12\/18, -14\/21, -16\/24<\/p>\n\n\n\n<p><strong>6. Which of the following pairs of rational numbers are equal?<\/strong><\/p>\n\n\n\n<p><strong>(i) -3\/-7 and 15\/35<\/strong><\/p>\n\n\n\n<p><strong>(ii) -6\/8 and 10\/-15<\/strong><\/p>\n\n\n\n<p><strong>(iii) 6\/-10 and -12\/20<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;-3\/-7 and 15\/35<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>-3\/-7 and 15\/35<\/p>\n\n\n\n<p>(-3\/-7) = (15\/35)<\/p>\n\n\n\n<p>Let us cross multiply, we get<\/p>\n\n\n\n<p>(-3\u00d735) = (15\u00d7-7)<\/p>\n\n\n\n<p>-105 = -105<\/p>\n\n\n\n<p>\u2234 -3\/-7 and 15\/35 are equal pairs.<\/p>\n\n\n\n<p><strong>(ii)&nbsp;<\/strong>-6\/8 and 10\/-15<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>-6\/8 and 10\/-15<\/p>\n\n\n\n<p>(-6\/8) = (10\/-15)<\/p>\n\n\n\n<p>Let us cross multiply, we get<\/p>\n\n\n\n<p>(-6\u00d7-15) = (10\u00d78)<\/p>\n\n\n\n<p>90 = 80<\/p>\n\n\n\n<p>\u2234 -6\/8 and 10\/-15 are not equal pairs.<\/p>\n\n\n\n<p><strong>(iii)&nbsp;<\/strong>6\/-10 and -12\/20<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>6\/-10 and -12\/20<\/p>\n\n\n\n<p>(6\/-10) = (-12\/20)<\/p>\n\n\n\n<p>Let us cross multiply, we get<\/p>\n\n\n\n<p>(6\u00d720) = (-12\u00d7-10)<\/p>\n\n\n\n<p>120 = 120<\/p>\n\n\n\n<p>\u2234 6\/-10 and -12\/20 are equal pairs.<\/p>\n\n\n\n<p><strong>7. Which of the following pairs represent the same rational number?<\/strong><\/p>\n\n\n\n<p><strong>(i) -7\/21, 3\/9<\/strong><\/p>\n\n\n\n<p><strong>(ii) -16\/20, 20\/-25<\/strong><\/p>\n\n\n\n<p><strong>(iii) -3\/5, -12\/20<\/strong><\/p>\n\n\n\n<p><strong>(iv) 8\/-5, -24\/15<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong>&nbsp;-7\/21, 3\/9<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>(-7\/21) = (3\/9)<\/p>\n\n\n\n<p>(-1\/3) = (1\/3)<\/p>\n\n\n\n<p>(-1\/3) \u2260 (1\/3)<\/p>\n\n\n\n<p>\u2234 -7\/21, 3\/9 are not same rational numbers.<\/p>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;-16\/20, 20\/-25<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>(-16\/20) = (20\/-25)<\/p>\n\n\n\n<p>(-4\/5) = (4\/-5)<\/p>\n\n\n\n<p>(-4\/5) = (-4\/5)<\/p>\n\n\n\n<p>\u2234 -16\/20, 20\/-25 are same rational numbers.<\/p>\n\n\n\n<p><strong>(iii)<\/strong>&nbsp;-3\/5, -12\/20<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>(-3\/5) = (-12\/20)<\/p>\n\n\n\n<p>(-3\/5) = (-3\/5)<\/p>\n\n\n\n<p>\u2234 -3\/5, -12\/20 are same rational numbers.<\/p>\n\n\n\n<p><strong>(iv)<\/strong>&nbsp;8\/-5, -24\/15<\/p>\n\n\n\n<p>Let us simplify, we get<\/p>\n\n\n\n<p>8\/-5, -24\/15<\/p>\n\n\n\n<p>(8\/-5) = (-24\/15)<\/p>\n\n\n\n<p>(8\/-5) = (-8\/5)<\/p>\n\n\n\n<p>(-8\/5) = (-8\/5)<\/p>\n\n\n\n<p>\u2234 8\/-5, -24\/15 are same rational numbers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-download-pdf\"><strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers<\/p>\n\n\n\n<p><a href=\"https:\/\/www.indcareer.com\/docs\/7cf940fd-fdb9-4056-89ae-2f9a5a3c5fd3\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download PDF<\/strong>: ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers PDF<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"block-5e63e5e5-c292-421b-9798-a655bf73262a\"><strong>Chapterwise ML Aggarwal Solutions for Class 7 Maths :<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\" id=\"block-75833e5e-83a3-4621-bc6d-6e42697f265f\"><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-1-integers\/\">Chapter 1- Integers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-2-fractions-and-decimals\/\">Chapter 2- Fractions and Decimals<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-3-rational-numbers\/\">Chapter 3- Rational Numbers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-4-exponents-and-powers\/\">Chapter 4- Exponents and Powers<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-5-sets\/\">Chapter 5- Sets<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-6-ratio-and-proportion\/\">Chapter 6- Ratio and Proportion<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-7-percentage-and-its-applications\/\">Chapter 7- Percentage and Its Applications<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-8-algebraic-expressions\/\">Chapter 8- Algebraic Expressions<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-9-linear-equations-and-inequalities\/\">Chapter 9- Linear Equations and Inequalitie<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-10-lines-and-angles\/\">Chapter 10- Lines and Angles<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-11-triangles-and-its-properties\/\">Chapter 11- Triangles and its Properties<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-12-congruence-of-triangles\/\">Chapter 12- Congruence of Triangles<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-13-practical-geometry\/\">Chapter 13- Practical Geometry<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-14-symmetry\/\">Chapter 14- Symmetry<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-15-visualising-solid-shapes\/\">Chapter 15- Visualising Solid Shapes<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-16-perimeter-and-area\/\">Chapter 16- Perimeter and Area<\/a><\/li><li><a href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-17-data-handling\/\">Chapter 17- Data Handling<\/a><\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">About ML Aggarwal<\/h2>\n\n\n\n<p>M. L. Aggarwal, is an Indian mechanical engineer, educator. His achievements include research in solutions of industrial problems related to fatigue design. Recipient Best Paper award, Manipal Institute of Technology, 2004. Member of TSTE.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Class 7: Maths Chapter 3 solutions. Complete Class 7 Maths Chapter 3 Notes. ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers ML Aggarwal 7th Maths Chapter 3, Class 7 Maths Chapter 3 solutions 1. Which of the following are positive rational numbers? 5\/8, -3\/11, 0\/5, 7, -4, -3\/-13, -17\/-6, 9\/-20. Solution: The [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":602425,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,907],"tags":[2265],"boards":[],"class_list":["post-602423","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-7","tag-ml-aggarwal-solutions","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>ML Aggarwal Solutions for Class 7, maths Chapter 3 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers | Browse all Class 7 Maths - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ml-aggarwal-solutions-for-class-7-maths-chapter-3-rational-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Solutions for Class 7 Maths Chapter 3- Rational Numbers\" \/>\n<meta property=\"og:description\" content=\"Class 7: Maths Chapter 3 solutions. 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