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3. Find the value of the following:
(a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
(c) 81265 × 169 – 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218

Answers (1)

H HARSH KANKARIA

(a) $297 \times 17 + 297 \times 3$

Using Distributive law.

$\\ = 297 \times (17 +3) \\ = 297 \times 20 \\ = 5940$

(b) $54279 \times 92 + 8 \times 54279$

Using Commutative under multiplication

$54279 \times 92 + 54279 \times 8$

Using Distributive law.

$\\ = 54279 \times( 92 +8) \\ = 54279 \times 100 \\ = 5427900$

(c) $81265 \times 169 - 81265 \times 69$

Using Distributive law.

$\\ = 81265 \times (169 - 69) \\ = 81265 \times 100 \\ = 8126500$

(d) $3845 \times 5 \times 782 + 769 \times 25 \times 218$

$\\ = (3845 \times 5) \times 782 + (769 \times 25) \times 218 \\ = 19225 \times 782 + 19225\times 218$

Using distributive law.

$\\ = 19225 \times( 782 + 218) \\ = 19225 \times1000 \\ = 19225000$

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