Question

Question 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

Class 6 - Math - Whole Numbers Page 40

Answer 1

If a, b, c are three whole numbers then a×(b + c)=a ×b + a×c . This is known as distributive law of multiplication over addition.

If a, b, c are three whole numbers then a×(b -  c)=a ×b - a×c . This is known as distributive law of multiplication over addition.   (b≥c)     
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Solution:

(a) 297 x 17 + 297 x 3

= 297 x (17 + 3)

= 297 x 20

= 5940

(b) 54279 x 92 + 8 x 542379

= 54279 x (92 + 8)

= 54279 x 100

= 5427900

(c) 81265 x 169 – 81265 x 69

= 81265 x (169 – 69)

= 81265 x 100

= 8126500

(d) 3845 x 5 x 782 + 769 x 25 x 218

= 3845 x 5 x 782 + 769 x 5 x 5 x 218)

= 3845 x 5 x 782 + 3845 x 5 x 218

= 3845 x 5 x (782 + 218)

= 3845 x 5 x 1000

= 19225000

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Hope this will help you.....

Answer 2

Answer:

(a) 54279*(92+8)

54279*100

=5427900