# How do you use the distributive property to multiply 24(2.5)?

Feb 14, 2017

See the entire solution process below:

#### Explanation:

This expression can be rewritten as:

$24 \left(2 + 0.5\right)$

We can now use the distributive property to multiply each term within the parenthesis by $\textcolor{red}{24}$

$\textcolor{red}{24} \left(2 + 0.5\right)$ becomes:

$\left(\textcolor{red}{24} \times 2\right) + \left(\textcolor{red}{24} \times 0.5\right)$

$48 + 12$

$60$

Feb 14, 2017

$60$

#### Explanation:

In the distributive law, a factor is multiplied into (or distributed across) a bracket.

$a \left(b + c\right) = a b + a c$

In $24 \left(2.5\right)$ change $2.5$ into $2 + 0.5$

$= 24 \left(2 + 0.5\right)$

$= 48 + 12$

$= 60$