NCERT Solutions for Class 8 Maths<\/a> Chapter 1 Rational Numbers Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.2<\/h2>\n Question 1. \nRepresent these numbers on the number line: \n(i) \\(\\frac{7}{4}\\) \n(ii) \\(\\frac{-5}{6}\\) \nSolution: \n(i) \\(\\frac{7}{4}\\) \nWe make 7 markings at distance of \\(\\frac{1}{4}\\) each on the right of 0 and starting from 0, the seventh marking represents \\(\\frac{7}{4}\\). \n <\/p>\n
(ii) \\(\\frac{-5}{6}\\) \nWe make 5 markings at distance of \\(\\frac{1}{6}\\) each on the left of \u20180\u2019 and starting from \u20180\u2019, the fifth marking represents \\(\\frac{-5}{6}\\) \n <\/p>\n
Question 2. \nRepresent \\(\\frac{-2}{11}, \\frac{-5}{11}, \\frac{-9}{11}\\) on a number line. \nSolution: \nWe make 9 markings at distance of \\(\\frac{1}{11}\\) each on the left of ‘0’ and starting from ‘0’, the second marking represents \\(\\frac{-2}{11}\\); the fifth marking represents \\(\\frac{-5}{11}\\) and the ninth marking represents \\(\\frac{-9}{11}\\). \nThe point A represents \\(\\frac{-2}{11}\\), the point B represents \\(\\frac{-5}{11}\\) and the point C represents \\(\\frac{-9}{11}\\). \n <\/p>\n
Question 3. \nWrite five rational numbers which are smaller than 2. \nSolution: \nThere can be infinite rational numbers smaller than 2. \nFive rational numbers are 0, -1, \\(\\frac{1}{2}\\), \\(\\frac{-1}{2}\\), 1<\/p>\n
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Question 4. \nFind ten rational numbers between \\(\\frac{-2}{5}\\) and \\(\\frac{1}{2}\\) \nSolution: \nConvert \\(\\frac{-2}{5}\\) and \\(\\frac{1}{2}\\) with the same denominators. \n\\(\\frac{1}{2}=\\frac{1 \\times 5}{2 \\times 5}=\\frac{5}{10}\\) \n\\(\\frac{-2}{5}=\\frac{2 \\times 2}{5 \\times 2}=\\frac{-4}{10}\\) \nTo get ten rational numbers, multiply both numerator and denominator by 2 \n\\(\\frac{5}{10}=\\frac{5 \\times 2}{10 \\times 2}=\\frac{10}{20}\\) \n\\(\\frac{-4}{10}=\\frac{-4 \\times 2}{10 \\times 2}=\\frac{-8}{20}\\) \nThe rational numbers between \\(\\frac{10}{20}\\) and \\(\\frac{-8}{20}\\) are \n\\(\\frac{9}{20}, \\frac{8}{20}, \\frac{7}{20}, \\frac{6}{20}, \\frac{5}{20}, \\frac{4}{20}, \\frac{3}{20}, \\ldots \\frac{-6}{20}, \\frac{-7}{20}\\) \nWe can take any 10 of them.<\/p>\n
Question 5. \nFind five rational numbers between \n(i) \\(\\frac{2}{3}\\) and \\(\\frac{4}{5}\\) \n(ii) \\(\\frac{-3}{2}\\) and \\(\\frac{5}{3}\\) \n(iii) \\(\\frac{1}{4}\\) and \\(\\frac{1}{2}\\) \nSolution: \nConvert \\(\\frac{2}{3}\\) and \\(\\frac{4}{5}\\) with the same denominators \n\\(\\frac{2}{3}=\\frac{2 \\times 5}{3 \\times 5}=\\frac{10}{15}\\) \n\\(\\frac{4}{5}=\\frac{4 \\times 3}{5 \\times 3}=\\frac{12}{15}\\) \nThe difference between the numerators should be more than 5 \n\\(\\frac{10}{15}=\\frac{10 \\times 4}{15 \\times 4}=\\frac{40}{60}\\) \n\\(\\frac{12}{15}=\\frac{12 \\times 4}{15 \\times 4}=\\frac{48}{60}\\) \nFive rational numbers between \\(\\frac{40}{60}\\) and \\(\\frac{48}{60}\\) are \n\\(\\frac{41}{60}, \\frac{42}{60}, \\frac{43}{60}, \\frac{44}{60}, \\frac{45}{60}\\)<\/p>\n
(ii) Convert \\(\\frac{-3}{2}\\) and \\(\\frac{5}{3}\\) with the same denominators. \n\\(\\frac{-3}{2}=\\frac{-3 \\times 3}{2 \\times 3}=\\frac{-9}{6}\\) \n\\(\\frac{5}{3}=\\frac{5 \\times 2}{3 \\times 2}=\\frac{10}{6}\\) \nFive rational numbers between \\(\\frac{-9}{6}\\) and \\(\\frac{10}{6}\\) are \\(\\frac{9}{6}, \\frac{8}{6}, \\frac{7}{6}, 0, \\frac{-7}{6}\\)<\/p>\n
(iii) Convert \\(\\frac{1}{4}\\) and \\(\\frac{1}{2}\\) with the same denominators \n\\(\\frac{1}{4}=\\frac{1}{4}\\) \n\\(\\frac{1}{2}=\\frac{1 \\times 2}{2 \\times 2}=\\frac{2}{4}\\) \nThe difference between the numerators should be more than 5 \n\\(\\frac{1}{4}=\\frac{1 \\times 8}{4 \\times 8}=\\frac{8}{32}\\) \n\\(\\frac{2}{4}=\\frac{2 \\times 8}{4 \\times 8}=\\frac{16}{32}\\) \nFive rational numbers between \\(\\frac{8}{32}\\) and \\(\\frac{16}{32}\\) are \\(\\frac{9}{32}, \\frac{10}{32}, \\frac{11}{32}, \\frac{12}{32}, \\frac{13}{32}\\)<\/p>\n
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Question 6. \nWrite five rational numbers greater than -2. \nSolution: \nThere are infinite rational numbers greater than -2. \nThe numbers are \\(\\frac{-3}{2},-1, \\frac{-1}{2}, 0, \\frac{1}{2}\\)<\/p>\n
Question 7. \nFind ten rational numbers between \\(\\frac{3}{5}\\) and \\(\\frac{3}{4}\\). \nSolution: \nConvert \\(\\frac{3}{5}\\) and \\(\\frac{3}{4}\\) with the same denominators \n\\(\\frac{3}{5}=\\frac{3 \\times 4}{5 \\times 4}=\\frac{12}{20}\\) \n\\(\\frac{3}{4}=\\frac{3 \\times 5}{4 \\times 5}=\\frac{15}{20}\\) \nThe difference between the numerator should be more than 10. \n\\(\\frac{12}{20}=\\frac{12 \\times 8}{20 \\times 8}=\\frac{96}{160}\\) \n\\(\\frac{15}{20}=\\frac{15 \\times 8}{20 \\times 8}=\\frac{120}{160}\\) \nThus, ten rational numbers between \n <\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.2 Question 1. Represent these numbers on the number line: (i) (ii) Solution: (i) We make 7 markings at distance …<\/p>\n
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.2 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n