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

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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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