Question

Decompose and use the distributive property to find the product of 9 × 8.53.

76.77
72.72
76.5
79.2

Answer 1

First option. 76.77

Explanation:

The distributive property of the multiplication with respect to the sum can be written as:

`x ( y + z ) = xy + xz`

We can take advantage of this property to find the product of 9*8.53 if we write:

8.53 = 8 + 0.53, thus:

`9*8.53=9*(8+0.53)`

Applying the distributive property:

`9*8.53=9*8+9*0.53`

Operating:

`9*8.53=72+4.77=76.77`

Thus:

9*8.53=76.77

First option. 76.77