Question

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

(4 + 5)6

Short answer

The value of expression $\left(4+5\right)6$ is $\mathbf{54}$.

Step-by-step solution

Step 1. Use the distributive property.

The distributive law of multiplication over addition or subtraction states that, $\left(a\pm b\right)c=ac\pm bc$.

So, the values of the real number should be as follows:

$\begin{array}{l}a=4\\ b=5\\ c=6\end{array}$

Step 2. Rewrite the expression.

Use the distributive property to expand the expression further as shown below:

$\left(\text{4+5}\right)\text{6=}\left(\text{4}\right)\text{6+}\left(\text{5}\right)\text{6}$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers to get

$\begin{array}{l}\left(4+5\right)6=\left(4\right)6+\left(5\right)6\left[Multiply\right]\\ =24+30\left[Add\right]\\ =54\end{array}$