Question

CTION C : Long
Simplify using distributive property.
(a) 7 x 97 x 21

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Answer 1

14259

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Answer 2

Answer:

7 x 97 x 21 = 14259

Step-by-step explanation:

Distributive property of multiplication over addition

If a,b, and c are any three integers, then the distributive property of multiplication over addition is given by

a×(b+c) = a×b + a×c

The given expression is 7 x 97 x 21

Substituting 97 as (100 -3) we get

7 x 97 x 21 = 7 x (100 +(-3) )x 21

Applying distributive property with a = 7, b= 100 and c = -3 we get

= (7  x 100) +(7 +(-3)) x 21

= (700 -21) x 21

= 21 × (700 + (-21))

Applying distributive property again with a = 21, b = 700 and c = (-21) we get

= ( 21 × 700 )+ (21 ×-21)

= 14700 - 441

= 14259

7 x 97 x 21 = 14259

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