Q39. - Algebra 1

Question

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

$8\left(6-2\right)$

Step-by-Step Solution

Answer

The value of given expression is $32$.

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.

$$\begin{gathered} 8\left(6-2\right)=8\left(6+\left(-2\right)\right) \\ =8·6+8·\left(-2\right) \left[\mathrm{By} \mathrm{Distribution} \mathrm{property}\right] \end{gathered}$$

Step 3. Simplifying the expression.

$$\begin{gathered} 8·6+8·\left(-2\right)=48-16 \left[\mathrm{Performing} \mathrm{multiplication}\right] \\ =32 \left[\mathrm{Performing} \mathrm{addition}\right] \end{gathered}$$