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)

(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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