Q17. - Algebra 1

Question

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

$14 (8 - 5)$

Step-by-Step Solution

Answer

The value of the expression $14\left(8-5\right)$ is $\mathbf{42}$.

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:

$\begin{array}{l}a=14\\ b=8\\ c=5\end{array}$

Step 2. Rewrite the expression.

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

$14\left(8-5\right)=\left(14\right)8-\left(14\right)5$

Step 3. Evaluate the expression.

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

$\begin{array}{l}14\left(8-5\right)=\left(14\right)8-\left(14\right)5 \left[Multiply\right]\\ =112-70 \left[Subtract\right]\\ =42\end{array}$