# How do you simplify 5(7 - 4)?

Nov 12, 2015

$15$

#### Explanation:

The left distributive property of real numbers states that
$\forall a , b , c \in \mathbb{R} ,$$a \left(b + c\right) = a b + a c$

Applying this rule to the given example yields

$5 \left(7 - 4\right) = 5 \cdot 7 - 5 \cdot 4$

$= 35 - 20$

$= 15$