{"id":26672,"date":"2021-06-26T16:14:21","date_gmt":"2021-06-26T10:44:21","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=26672"},"modified":"2022-03-02T10:47:30","modified_gmt":"2022-03-02T05:17:30","slug":"ncert-solutions-for-class-8-maths-chapter-1-ex-1-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-1-ex-1-1\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 1 Rational Numbers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.1<\/h2>\n

Question 1.
\nUsing appropriate properties, find:
\n(i) \\(\\frac{-2}{3} \\times \\frac{3}{5}+\\frac{5}{2}-\\frac{3}{5} \\times \\frac{1}{6}\\)
\n(ii) \\(\\frac{2}{5} \\times\\left(\\frac{-3}{7}\\right)-\\frac{1}{6} \\times \\frac{3}{2}+\\frac{1}{14} \\times \\frac{2}{5}\\)
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nWrite the additive inverse of each of the following:
\n(i) \\(\\frac{2}{8}\\)
\n(ii) \\(\\frac{-5}{9}\\)
\n(iii) \\(\\frac{-6}{-5}\\)
\n(iv) \\(\\frac{2}{-9}\\)
\n(v) \\(\\frac{19}{-6}\\)
\nSolution:
\n(i) Additive inverse of \\(\\frac{2}{8}\\) is \\(\\frac{-2}{8}\\)
\n(ii) Additive inverse of \\(\\frac{-5}{9}\\) is \\(\\frac{5}{9}\\)
\n(iii) Additive inverse of \\(\\frac{-6}{-5}\\) is \\(\\frac{-6}{5}\\)
\n(iv) Additive inverse of \\(\\frac{2}{-9}=\\left(\\frac{-2}{9}\\right)\\) is \\(\\frac{2}{9}\\)
\n(v) Additive inverse of \\(\\frac{19}{-6}=\\left(\\frac{-19}{6}\\right)\\) is \\(\\frac{19}{6}\\)<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nVerify that -(-x) = x for:
\n(i) x = \\(\\frac{11}{15}\\)
\n(ii) x = \\(\\frac{-13}{17}\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 4.
\nFind the multiplicative inverse of the following:
\n(i) -13
\n(ii) \\(\\frac{-13}{19}\\)
\n(iii) \\(\\frac{1}{5}\\)
\n(iv) \\(\\frac{-5}{8} \\times \\frac{-3}{7}\\)
\n(v) \\(-1 \\times \\frac{-2}{5}\\)
\n(vi) -1
\nSolution:
\n(i) Multiplicative inverse of -13 is \\(\\frac{-1}{13}\\)
\n(ii) Multiplicative inverse of \\(\\frac{-13}{19}\\) is \\(\\frac{-19}{13}\\)
\n(iii) Multiplicative inverse of \\(\\frac{1}{5}\\) is 5.
\n(iv) \\(\\left(\\frac{-5}{8} \\times \\frac{-3}{7}\\right)=\\frac{(-5) \\times(-3)}{8 \\times 7}=\\frac{56}{15}\\)
\nMultiplicative inverse of \\(\\frac{-5}{8} \\times \\frac{-3}{7}\\) is \\(\\frac{15}{56}\\)
\n(v) \\(-1 \\times \\frac{-2}{5}=\\frac{(-1) \\times(-2)}{5}=\\frac{2}{5}\\)
\nMultiplicative inverse of \\(-1 \\times \\frac{-2}{5}\\) is \\(\\frac{5}{2}\\)
\n(vi) Multiplicative inverse of -1 is -1.<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nName the property under multiplication used in each of the following:
\n(i) \\(\\frac{-4}{5} \\times 1=1 \\times \\frac{-4}{5}=\\frac{-4}{5}\\)
\n(ii) \\(\\frac{-13}{17} \\times \\frac{-2}{7}=\\frac{-2}{7} \\times \\frac{-13}{17}\\)
\n(iii) \\(\\frac{-19}{29} \\times \\frac{29}{-19}=1\\)
\nSolution:
\n(i) \\(\\frac{-4}{5} \\times 1=1 \\times \\frac{-4}{5}=\\frac{-4}{5}\\)
\n1 is the multiplicative identity.<\/p>\n

(ii) \\(\\frac{-13}{17} \\times \\frac{-2}{7}=\\frac{-2}{7} \\times \\frac{-13}{17}\\)
\nMultiplication is commutative.<\/p>\n

(iii) \\(\\frac{-19}{29} \\times \\frac{29}{-19}=1\\)
\nMultiplicative inverse.<\/p>\n

Question 6.
\nMultiply \\(\\frac{6}{13}\\) by the reciprocal of \\(\\frac{-7}{16}\\).
\nSolution:
\n\"NCERT<\/p>\n

Question 7.
\nTell what property allows you to compute \\(\\frac{1}{3} \\times\\left(6 \\times \\frac{4}{3}\\right) \\text { as }\\left(\\frac{1}{3} \\times 6\\right) \\times \\frac{4}{3}\\)
\nSolution:
\n\\(\\frac{1}{3} \\times\\left(6 \\times \\frac{4}{3}\\right) \\text { as }\\left(\\frac{1}{3} \\times 6\\right) \\times \\frac{4}{3}\\)
\nIn the given question, we use the associative property.<\/p>\n

\"NCERT<\/p>\n

Question 8.
\nIs \\(\\frac{8}{9}\\) the multiplicative inverse of -1\\(\\frac{1}{8}\\)? Why or why not?
\nSolution:
\n\\(\\frac{8}{9} \\times-\\frac{9}{8}=-1\\) but is not equal to 1.
\nSo, \\(\\frac{8}{9}\\) is not the multiplicative inverse of -1\\(\\frac{1}{8}\\)<\/p>\n

Question 9.
\nIs 0.3 the multiplicative inverse of 3\\(\\frac{1}{3}\\)? Why or why not?
\nSolution:
\n0.3 = \\(\\frac{3}{10}\\)
\n3\\(\\frac{1}{3}\\) = \\(\\frac{10}{3}\\)
\n\\(\\frac{3}{10} \\times \\frac{10}{3}=1\\)
\n\u2234 Multiplicative inverse of 3\\(\\frac{1}{3}\\) is 0.3.<\/p>\n

Question 10.
\nWrite:
\n(i) The rational number that does not have a reciprocal.
\n(ii) The rational numbers that are equal to their reciprocals.
\n(iii) The rational number that is equal to its negative.
\nSolution:
\n(i) The rational number \u20180\u2019 does not have a reciprocal.
\n(ii) The rational numbers 1 and (-1) are equal to their reciprocal.
\n(iii) The rational number \u20180\u2019 is equal to its negative [(0) + (0) = 0]
\n\u2234 The negative of 0 is 0.<\/p>\n

\"NCERT<\/p>\n

Question 11.
\nFill in the blanks:
\n(i) Zero has ________ reciprocal.
\n(ii) The numbers ________ and ________ are their own reciprocals.
\n(iii) The reciprocal of -5 is ________
\n(iv) Reciprocal of \\(\\frac{1}{\\mathrm{x}}\\) when x \u2260 0 is ________
\n(v) The product of two rational numbers is always a ________
\n(vi) The reciprocal of a positive rational number is ________
\nSolution:
\n(i) no
\n(ii) 1 and -1
\n(iii) \\(\\frac{-1}{5}\\)
\n(iv) x
\n(v) rational number
\n(vi) positive<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Exercise 1.1 Question 1. Using appropriate properties, find: (i) (ii) Solution: Question 2. Write the additive inverse of each of the …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1<\/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 1.1 - MCQ Questions<\/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:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-1-ex-1-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts. 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