# How do you use the distributive property to simplify 14(1002)?

Apr 12, 2018

See explanation.

#### Explanation:

The distributive property says that for any real numbers $a$, $b$ and $c$ we have:

## $a \cdot \left(b \pm c\right) = a b \pm a c$

Here we can use the property to change a more difficult multiplication to two simpler ones:

$14 \cdot \left(1002\right) = 14 \cdot \left(1000 + 2\right) =$

$= 14 \cdot 1000 + 14 \cdot 2 = 14000 + 28 = 14028$