Question

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

$6(6-1)$

Short answer

The value of the expression $6\left(6-1\right)$ is $\mathbf{30}$.

Step-by-step solution

Step 1. Use the distributive property.

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

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

$\begin{array}{l}a=6\\ b=6\\ c=1\end{array}$

Step 2. Rewrite the expression.

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

$\text{6}\left(\text{6-1}\right)\text{=}\left(\text{6}\right)\text{6-}\left(\text{6}\right)\text{1}$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers and solve further as shown below:

$\begin{array}{l}\text{6}\left(\text{6-1}\right)\text{=}\left(\text{6}\right)\text{6-}\left(\text{6}\right)\text{1}\left[Multiply\right]\\ =36-6\left[Subtract\right]\\ =30\end{array}$