Verify the following:
(a) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]
(b) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]
Solution:
Let's use the rules of addition and multiplication of integers to solve the given question.
(a) 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)]
L.H.S = 18 × [7 + (-3)]
= 18 × 4
= 72
R.H.S = [18 × 7] + [18 × (-3)]
= 126 + (-54)
= 72
18 × [7 + (-3)] = [18 × 7] + [18 × (-3)]
72 = 72
L.H.S = R.H.S, Hence Verified
(b) (-21) × [(- 4) + (-6)] = [(-21) × (-4)] + [(-21 × (-6)]
L.H.S = (-21) × [(-4) + (-6)]
= [-21 × (-4 - 6)]
= [-21 × (-10)]
= 210
R.H.S = [(-21) × (-4)] + [(-21 × (-6)]
= 84 + 126
= 210
(-21) × [(-4) + (-6)] = [(-21) × (-4)] + [(-21 × (-6)]
210 = 210
L.H.S = R.H.S, Hence Verified.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 1
Video Solution:
Verify the following:
(a) 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)] (b) (-21) × [(-4) + (-6)] = [(-21) × (-4)] + [(-21 × (-6)]
NCERT Solutions Class 7 Maths Chapter 1 Exercise 1.3 Question 2
Summary:
We have verified the following: (a) 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)] (b) (-21) × [(-4) + (-6)] = [(-21) × (-4)] + [(-21 × (-6)] and found L.H.S = R.H.S for both the parts a,) and b).
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