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

Answer:

First option. 76.77

Step-by-step 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