{"id":27684,"date":"2021-07-01T14:47:51","date_gmt":"2021-07-01T09:17:51","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27684"},"modified":"2021-07-01T14:47:51","modified_gmt":"2021-07-01T09:17:51","slug":"ncert-solutions-for-class-7-maths-chapter-9-intext-questions","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-7-maths-chapter-9-intext-questions\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 9 Rational Numbers InText Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions<\/h2>\n

NCERT In-text Question Page No. 174<\/span><\/p>\n

Question 1.
\nIs the number \\(\\frac{2}{-3}\\) rational? Think about it.
\nAnswer:
\nYes, \\(\\frac{2}{-3}\\) is a rational number,
\n\u2235 2 and -3 are integers and -3 \u2260 0.<\/p>\n

Question 2.
\nList ten rational numbers.
\nAnswer:
\nFollowing are ten rational numbers:
\n\\(\\frac{1}{3}, \\frac{-2}{3}, \\frac{4}{5}, \\frac{1}{-6}, \\frac{-3}{-4}, 5.8,2 \\frac{4}{5}\\), 0.93, 18 and 11.07
\nNote: 1. \u20180\u2019 can be written as \\(\\frac{0}{2}\\) or \\(\\frac{0}{15}\\) etc.
\nHence, it is a rational number.
\n2. A natural number can be written as
\n5 = \\(\\frac{5}{1}\\) or 108 = \\(\\frac{108}{1}\\) Hence, it is also a rational number.<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 175<\/span><\/p>\n

Question 1.
\nFill in the boxes:
\n\"NCERT
\nAnswer:
\n\"NCERT<\/p>\n

Question 2.
\nIs 5 a positive rational number?
\nAnswer:
\nYes, 5 or \\(\\frac{5}{1}\\) is having both its numerator
\nand denominator as positive.
\n\u2234 It is a positive rational number.<\/p>\n

Question 3.
\nList five more positive rational numbers.
\nAnswer:
\n\\(\\frac{1}{7}, \\frac{3}{8}, \\frac{5}{17}, \\frac{2}{9}\\) and \\(\\frac{5}{18}\\) and are positive rational numbers.<\/p>\n

NCERT In-text Question Page No. 176<\/span><\/p>\n

Question 1.
\nIs -8 a negative rational number?
\nAnswer:
\n(i) Yes, -8 or \\(\\frac{-8}{1}\\) is a negative rational number, because its numerator is a negative integer.<\/p>\n

Question 2.
\nList five more negative rational numbers.
\nAnswer:
\nFive negative rational numbers are as follows:
\n\\(\\frac{-5}{9}, \\frac{-6}{11}, \\frac{-3}{13}, \\frac{3}{-10} \\text { and } \\frac{-1}{7}\\)<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nWhich of these are negative rational numbers?
\n(i) \\(\\frac{-2}{3}\\)
\n(ii) \\(\\frac{5}{7}\\)
\n(iii) \\(\\frac{3}{-5}\\)
\n(iv) 0
\n(v) \\(\\frac{6}{11}\\)
\n(vi) \\(\\frac{-2}{-9}\\)
\nAnswer:
\n(i) \\(\\frac{-2}{3}\\) is a negative rational number.
\n(ii) \\(\\frac{5}{7}\\) is a positive rational number.
\n(iii) \\(\\frac{3}{-5}\\) is a negative rational number.
\n(iv) 0 is neither a positive nor a negative rational number.
\n(v) \\(\\frac{6}{11}\\) is a positive rational number.
\n(vi) \\(\\frac{-2}{-9}\\) is a positive rational number.
\n\u2234 (i) \\(\\frac{-2}{3}\\) and (ii) \\(\\frac{3}{-5}\\) are negative rational numbers.<\/p>\n

NCERT In-text Question Page No. 178<\/span><\/p>\n

Question 1.
\nFind the standard form of:
\n(i) \\(\\frac{-18}{45}\\)
\n(ii) \\(\\frac{-12}{18}\\)
\nAnswer:
\n(i) Since HCF of 18 and 45 is 9.
\n\u2234 \\(\\frac{-18}{45}=\\frac{(-18) \\div 9}{45 \\div 9}=\\frac{-2}{5}\\)
\nThus, the standard form of \\(\\frac{-18}{45}\\) is \\(\\frac{-2}{3}\\)<\/p>\n

(ii) Since HCF of 12 and 18 is 6.
\n\u2234 \\(\\frac{-12}{18}=\\frac{(-12) \\div 6}{18 \\div 6}=\\frac{-2}{3}\\)
\nThus, the standard form of \\(\\frac{-12}{18}\\) is \\(\\frac{-2}{3}\\)<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 181<\/span><\/p>\n

Question 1.
\nFind five rational numbers between \\(\\frac{-5}{7}\\) and \\(\\frac{-3}{8}\\)
\nAnswer:
\nFirst we convert the given rational numbers with common denominators,
\n\u2234 LCM of 7 and 8 is 56.
\n\"NCERT
\nThus, the five rational numbers, between \\(\\frac{-5}{7}\\) and \\(\\frac{-3}{8}\\) are:
\n\"NCERT<\/p>\n

NCERT In-text Question Page No. 185<\/span><\/p>\n

Question 1.
\nFind:
\n(i) \\(\\frac{-13}{7}+\\frac{6}{7}\\)
\n(ii) \\(\\frac{-19}{5}+\\frac{-7}{5}\\)
\nAnswer:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nFind:
\n(i) \\(\\frac{-3}{7}+\\frac{2}{3}\\)
\n(ii) \\(\\frac{-5}{6}+\\frac{-3}{11}\\)
\nAnswer:
\n(i) \\(\\frac{-3}{7}+\\frac{2}{3}\\)
\n\u2234 LCM of 7 and 3 is 21
\n\"NCERT
\n\"NCERT<\/p>\n

NCERT In-text Question Page No. 186<\/span><\/p>\n

Question 1.
\nWhat will be the additive inverse of \\(\\frac{3}{9} ?, \\frac{-9}{11} ?, \\frac{5}{7} ?\\)
\nAnswer:
\nAdditive inverse of \\(\\frac{-3}{9}\\) is \\(\\frac{3}{9}\\).
\nAdditive inverse of \\(\\frac{-9}{11}\\) is \\(\\frac{9}{11}\\).
\nAdditive inverse of \\(\\frac{5}{7}\\) is \\(\\frac{-5}{7}\\).<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 187<\/span><\/p>\n

Question 1.
\nFind
\n(i) \\(\\frac{7}{9}-\\frac{2}{5}\\)
\n(ii) \\(2 \\frac{1}{5}-\\left(\\frac{-1}{3}\\right)\\)
\nAnswer:
\n(i) \\(\\frac{7}{9}-\\frac{2}{5}\\)
\nL.C.M of 9 and 5 is 45.
\n\"NCERT<\/p>\n

(ii) \\(2 \\frac{1}{5}-\\left(\\frac{-1}{3}\\right)\\)
\nL.C.M of 5 and 3 is 15.
\n\"NCERT
\n\"NCERT<\/p>\n

NCERT In-text Question Page No. 188<\/span><\/p>\n

Question 1.
\nWhat will be
\n(i) \\(-\\frac{3}{5} \\times 7\\)
\n(ii) \\(-\\frac{6}{5} \\times(-2) ?\\)
\nAnswer:
\n(i) \\(-\\frac{3}{5} \\times 7=\\frac{(-3) \\times 7}{5}=\\frac{-21}{5}=-4 \\frac{1}{5}\\)
\n(ii) \\(\\frac{-6}{5} \\times(-2)=\\frac{(-6) \\times(-2)}{5}=\\frac{12}{5}=2 \\frac{2}{5}\\)<\/p>\n

Question 2.
\n(i) \\(\\frac{-3}{4} \\times \\frac{1}{7}\\)
\n(ii) \\(\\frac{2}{3} \\times \\frac{-5}{9}\\)
\nAnswer:
\n(i) \\(\\frac{-3}{4} \\times \\frac{1}{7}=\\frac{-3 \\times 1}{4 \\times 7}=\\frac{-3}{28}\\)
\n(ii) \\(\\frac{2}{3} \\times \\frac{-5}{9}=\\frac{-2 \\times 5}{3 \\times 9}=\\frac{-10}{27}\\)<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 189<\/span><\/p>\n

Question 1.
\nWhat wTill be the reciprocal of \\(\\) and \\(\\) ?
\nAnswer:
\nReciprocal of \\(\\frac{-6}{11}\\) is \\(\\frac{-11}{6}\\)
\nReciprocal of \\(\\frac{-8}{5}\\) is \\(\\frac{-5}{8}\\)<\/p>\n

NCERT In-text Question Page No. 190<\/span><\/p>\n

Question 1.
\nFind
\n(i) \\(\\frac{2}{3} \\times \\frac{-7}{8}\\)
\n(ii) \\(\\frac{-6}{7} \\times \\frac{5}{7}\\)
\nAnswer:
\n(i) \\(\\frac{2}{3} \\times \\frac{-7}{8}=\\frac{-7}{12}\\)
\n(ii) \\(\\frac{-6}{7} \\times \\frac{5}{7}=\\frac{-30}{49}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions NCERT In-text Question Page No. 174 Question 1. Is the number rational? Think about it. Answer: Yes, is a rational …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions<\/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":{"spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions - NCERT Solutions<\/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:\/\/ncertsolutions.guru\/ncert-solutions-for-class-7-maths-chapter-9-intext-questions\/\" \/>\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 7 Maths Chapter 9 Rational Numbers InText Questions - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions and Answers are prepared by our highly skilled subject experts. 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NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions NCERT In-text Question Page No. 174 Question 1. Is the number rational? Think about it. 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