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Answers
Answer:
31.a: (-a) + b = b + (-a)
b + Additive inverse of a.
32.0
33.3140: (-157) × (-19) + 157
= 157 × 19 + 157 × 1
= 157 × [19 + 1] = 157 × 20= 3140
34.-3, 8, (-8), 8 : [(-8) + (-3)] + 8 = -8+[(-3) + 8] = -3
35. -12 is represented by point D.
36.y, x, z : (x + y) + z = x + (y + z) [Associative property of integers]
37.0: (-43) + 0 = – 43
38.(-8) + (-8) + (-8)
= (-8) × [1 + 1 + 1] = (-8) × 3 = 3 × (-8)
39.11, 5, -55: 11 × (-5) = -(11 × 5) = -55
40.-180 as (-9) × 20 = -180
41. (-23) × (42) = (-42) × 923
42.Whole, negative
43.Even
44.Positive: When even number of negative integers are multiplied they give positive integer and when positive integers are multiplied they always give positive integer.
45.Negative: When odd number of negative integers multiplied, they give negative integer. Also, when a negative and a positive integer are multiplied they give a negative integer.
46.1: a × 1 = 1 × a = a
47.(-1): a × (-1) = -a
48. (-25) × (-2) = 25 × 2 = 50
49.(-5) × (-6) × (-7)
= 5 × 6 × (-7) = 30 × (-7) = -210
50.3 × (-1) × (-15) = (-3) × ( – 15)= 45
51.12, 5: [12 × (- 7)] × 5 = 12 × [(- 7) × 5]
52.23, 1, -100, 1: 23 × (- 99) = 23 × (- 100 + 1)= 23 × (- 100) + 23 × 1
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