Question

Name the property used to write 218 x 102 = 218 x 100 + 218 x 2

• A. Multiplication by zero
• B. Commutative property of addition
• C. Distributive property of multiplication over addition
• D. Identity element of addition

Answer 1

The correct option is C

Distributive property of multiplication over addition

218 x 102 = 218 x (100 + 2)

As per Distributive property of multiplication over addition, a x (b + c) = a x b + a x c

So, 218 x (100 + 2) = 218 x 100 + 218 x 2