Q2A. - Algebra 1

Question

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

304(15)

Step-by-Step Solution

Answer

The value of the expression $304\left(15\right)$ is $\mathbf{4560}$.

Step 1. Break 304 into the simplest form.

Think of an equation whose sum or difference is 304.

$304=300+4$

Step 2. Use the distributive property.

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

So, the expression can be rewritten as follows:

$\begin{array}{l}304\left(15\right)=\left(300+4\right)\left(15\right)\\ =300\times 15+4\times 15\end{array}$

Step 3. Evaluate the expression.

$\begin{array}{l}304\left(15\right)=300\times 15+4\times 15\\ =4500+60 \left[\text{Multiply}\right]\\ =4560 \left[\text{Add}\right]\end{array}$