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Mathematics, (www.tiwariacademy.com), (Chapter - 9) (Rational Numbers), (Class- VII), Exercise 9.1, Question 1:, List five rational numbers between:, (i) -I and 0, (iii), ) and, (0) 글 and, (ii) -2 and -1, LAnswer 1:, -1 and 0, Let us write -1 and 0 as rational numbers with denominator 6., (i), -6, -1 =, and 0 =, 6., 6., -6, -5, -4, 6., 6., 6., -5, -1<-, 6., -2, -1, -1, -1, <-<0, 3, 3, 2, 6., Therefore, five rational numbers between -1 and 0 would be, -5 -2 -1 -1-1, 6 3 2, 36, (ii), -2 and -1, Let us write -2 and -1 as rational numnbers with denominator 6., -12, and -1 =, 6., -2 =, 6., -12, -||, -10, 6., 6., 6., 6., 6., -11, -5, -3, 6., 3, 2, Therefore, five rational numbers between -2 and -1 would be, -11 -5 -3 -4 -7, 3, 3, 6., (iii), and, 3, Let us write, and, as rational numbers with the same denominators., -4, -36, -2, and, 45, -30, 3, 45, 32 -31, 45, -36, -35, -34, -33, -30, 45, 45, 45, 45, 45, 45, -4, -7, -34, -11, -32, -31, 45, 15, 45, 45, 3, -4, Therefore, five rational numbers between, and, would be, -7 -34 -11 -32 -31 -2, 9 45, 15, 45, 45, 3, www.tiwariacademy.com, A Free web suepport in Education, 1, 1, V

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Mathematics, (www.tiwariacademy.com), (Chapter - 9) (Rational Numbers), (Class - VII), -7, (ii), (i), 4, - 7, -1, -2, - 1, 1, 2, 7, - 1, 1, (iv), 8, Question 5:, The points P, Q, R, S, T, U, A and B on the, number line are such that, TR = RS = SU, and AP = PQ = QB. Name the rational, numbers represented by P, Q, R and S., LAnswer 5:, Each part which is between the two numbers is divided into 3 parts., USRT, APQB, +, +, -4, -3, -2, -1, 3, 4., 6., A =, 3', 7, 9., and B =, 3, 8., Therefore,, P =, Q =, 3', -6, and U =, 3., Similarly, R =, S =, 3, 3, T =, 3, Thus, the rational numbers represented P, Q, R and S are, 7 8-4, and, respectively., 3 3 3, 3, Question 6:, Which of the following pairs represent the same rational numbers:, (iv), -12, and, 20, -7, 3, (ii), -16, 20, and, 20, (iii), and, (i), and, 21, 9, -25, -24, and, 15, 8, (vi) 을 and y, and, -9, -9, (v), (vii), -5, EAnswer 6:, (1), -7, and, 21, -7, 3, and, 9., [Converting into lowest term], %3D, 21, 3, 3, -1, 3., 3, -7, 21, www.tiwariacademy.com, A Free web srpport in Education, 4, 4, 533, 3/9

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Mathematics, (www.tiwariacademy.com), (Chapter - 9) (Rational Numbers), (Class - VII), -7, (ii), (i), 4, - 7, -1, -2, - 1, 1, 2, 7, - 1, 1, (iv), 8, Question 5:, The points P, Q, R, S, T, U, A and B on the, number line are such that, TR = RS = SU, and AP = PQ = QB. Name the rational, numbers represented by P, Q, R and S., LAnswer 5:, Each part which is between the two numbers is divided into 3 parts., USRT, APQB, +, +, -4, -3, -2, -1, 3, 4., 6., A =, 3', 7, 9., and B =, 3, 8., Therefore,, P =, Q =, 3', -6, and U =, 3., Similarly, R =, S =, 3, 3, T =, 3, Thus, the rational numbers represented P, Q, R and S are, 7 8-4, and, respectively., 3 3 3, 3, Question 6:, Which of the following pairs represent the same rational numbers:, (iv), -12, and, 20, -7, 3, (ii), -16, 20, and, 20, (iii), and, (i), and, 21, 9, -25, -24, and, 15, 8, (vi) 을 and y, and, -9, -9, (v), (vii), -5, EAnswer 6:, (1), -7, and, 21, -7, 3, and, 9., [Converting into lowest term], %3D, 21, 3, 3, -1, 3., 3, -7, 21, www.tiwariacademy.com, A Free web sirpport in Education, 5, 533, 3/9