How do you use the distributive property to rewrite and evaluate 9*499?

Apr 27, 2017

See below.

Explanation:

$9 \cdot 499 = 9 \left(500 - 1\right)$

$= 9 \cdot 500 - 9 \cdot 1$

$= 4500 - 9$

$= 4491$

OR

$9 \cdot 499 = \left(10 - 1\right) \left(500 - 1\right)$

$10 \cdot 5 - 10 \cdot 1 - 1 \cdot 500 + 1 \cdot 1$

$= 5000 - 10 - 500 + 1$

$= 4490 + 1$

$= 4491$