Question

Dominique wants to use the distributive property to find the value of 15⋅37+15⋅6315·37+15·63 mentally. Which expression can she use?

Answer 1

Explanation:

Given that Dominique wants to find the value of the expression

15.37+15.63

He wants to do mentally using distributive property

Distributive property over multiplication is

`a(b+c) = ab+ac`

Using this he can write

`15.37+15.63\\=15(37+63)\\=15(100)\\=1500`

Thus he got answer very quickly in the mind itself as 1500

Answer 2

The equation could be divided into three terms: 15x37, 15x6315x37 and 15x63. First, he could take the same multiple for all three. It would be 15. So,

15(37+6315x37+63)

Simplifying by applying PEMDAS. We calculate first the operation inside the parenthesis followed by multiplying it with 15.

15 (233755) = 3506325