Question

Solve the following using distributive property:327×105

Answer 1

Distributive Property:

The distributive property tells us how to solve expressions in the form of a(b + c).

$a(b+c) =a*b +a*c$

In this question we have to find two numbers that add up to give 105,

$105 =100+5$

Now replacing 105 by 100 + 5, rewriting the expression as :

$327 *105 = 327 (100+5)$

distributing 327 over 100 and 5

here a=327, b =100 and c=5

$327 (100+5) = 327*100 +327 *5$

$= 32700 + 1635$

Answer:

$327*105 = 34335$