Q18. - Algebra 1

Question

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

(9 - 4)19

Step-by-Step Solution

Answer

The value of the expression $(9-4)19$ is $\mathbf{95}$.

Step 1. Use the distributive property.

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

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

$\begin{array}{l}a=9\\ b=4\\ c=19\end{array}$

Step 2. Rewrite the expression.

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

$(9-4)19=\left(9\right)19-\left(4\right)19$

Step 3. Evaluate the expression.

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

$\begin{array}{l}(9-4)19=\left(9\right)19-\left(4\right)19 \left[Multiply\right]\\ \text{=171-76 } \left[Subtract\right]\\ \text{=95}\end{array}$