# How do you use the distributive property to rewrite and evaluate 5(7-4)?

Aug 22, 2017

See a solution process below:

#### Explanation:

To evaluate this expression using the distributive property, multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{5} \left(7 - 4\right) \implies \left(\textcolor{red}{5} \times 7\right) - \left(\textcolor{red}{5} \times 4\right) \implies 35 - 20 \implies 15$

To validate this we can first evaluate the term inside the parenthesis and then multiply by $5$ to ensure we reach the same solution:

$5 \left(7 - 4\right) \implies 5 \left(3\right) \text{ or } 5 \times 3 \implies 15$