Q38. - Algebra 1

Question

Use the Distributive Property to rewrite each expression. Then evaluate.

$5\left(18+12\right)$

Step-by-Step Solution

Answer

The value of the given expression is $150$.

Step 1. Distributive property.

If $a,b$ and $c$ are three real numbers then $a·\left(b+c\right)=a·b+a·c$ and $\left(b+c\right)·a=b·a+c·a$

Step 2. Application of distribution property.

$5\left(18+12\right)=5·18+5·12 \left[\mathrm{By} \mathrm{Distribution} \mathrm{property}\right]$

Step 3. Simplifying the expression.

$$\begin{gathered} 5·18+5·12=90+60 \left[\mathrm{Performing} \mathrm{multiplication}\right] \\ =150 \left[\mathrm{Performing} \mathrm{addition}\right] \end{gathered}$$