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`