NCERT CLASS 7 MATHS 2025 CHAPTER 1 G INTEGERS Pages 12, 13 & 14

NCERT CLASS 7 MATHS 2025

CHAPTER 1 G INTEGERS Pages 12, 13 & 14

1.3.6 Distributive Property

In general, for any integers a, b and c,
a × (b + c) = a × b + a × c

TRY THESE

(i) Is 10 × [(6 + (–2)] = 10 × 6 + 10 × (–2)?
(ii) Is (–15) × [(–7) + (–1)] = (–15) × (–7) + (–15) × (–1)?

In general, for any three integers a, b and c,
a × (b – c) = a × b – a × c

(i) Is 10 × (6 – (–2)] = 10 × 6 – 10 × (–2)?
(ii) Is (–15) × [(–7) – (–1)] = (–15) × (–7) – (–15) × (–1)?
EXERCISE 1.2

1. Find each of the following products:
(a) 3 × (–1)
(b) (–1) × 225
(c) (–21) × (–30)
(d) (–316) × (–1)
(e) (–15) × 0 × (–18)
(f) (–12) × (–11) × (10)
(g)9 × (–3) × (– 6)
(h) (–18) × (–5) × (– 4)
(i) (–1) × (–2) × (–3) × 4

2. Verify the following:
(a) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]
(b) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]

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