Q22. - Algebra 1

Question

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

$6\left(525\right)$

Step-by-Step Solution

Answer

The value of the expression $6\left(525\right)$ is $\mathbf{3150}$.

Step 1. Break 525 into the simplest form.

Think of an equation whose sum or difference is 525. 

$525=500+25$

Step 2. Use the distributive property.

According to the distributive property, $a\left(b\pm c\right)=a\times b\pm a\times c$

So, the expression can be rewritten as follows:

$\begin{array}{l}6\left(525\right)=6\left(500+25\right)\\ =6\times 500+6\times 25\end{array}$

Step 3. Evaluate the expression.

$\begin{array}{l}6\left(525\right)=6\times 500+6\times 25 \left[Multiply\right]\\ =3000+150 \left[Add\right]\\ =3150\end{array}$