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Exercise 9.2
1.Find the sum:
(a) 3/6 + 5/3
(b) -6/7 + 4/7
(c) 15/8 - 20/3
(d) 1 + 8/9
(e) 8/21 + (-35)
(f) -3 + 2 1/6
(g) 4 2/3 + (-2 7/12)
2.Subtract the following:
(i) 145/13 - 3/2
(ii) 2/3 - (-1/3)
(iii) 1 + 1/8 - (-4 1/2)
(iv) (-4 2/3) - (-3 2/7)
(v) 8/12 - (-35)
(vi) -2 1/9 - 5
(vii) 7 - (-2 2/9)
3.Find the product:
(i) -15/14 x 2/3
(ii) 3/-11 x -2/5
(iii) 6/5 x (-9/11)
(iv) (-6/21) x (7/-8)
(v) (-1)^x (-4/5)
(vi) (-6/7) x (-1)
(vii) 3/5 x (-1)
(viii) (-7/12) x (-2/13)
4.Find out the value of:
(i) (-5) ÷ (-1)
(ii) -1 ÷ (3/5)
(iii) -1 ÷ (-3/5)
(iv) (-3/7) ÷ 1/21
(v) 7/-3 ÷ (-21)
(vi) 21 ÷ (-7/3)
(vii) 6/13 ÷ (-4/65)
(viii) -1/8 ÷ (-1/8)
5.Answer as per the instruction:
(i) What is the additive inverse of -8/9?
(ii) What is the additive inverse of -1?
(iii) 2/3 ÷ 2/3 = 1 (Say correct or incorrect)
(iv) 1 ÷ 4/3 = 3/4 (Say correct or incorrect)
(v) If a and b are two rational numbers, then a x (-b) = -(a x b) and -a x b = -(a x b). Now take any two rational numbers in place of a and b and verify the above equality.
(vi) What is the reciprocal of -3/7?
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