Question

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

304(15)

Short answer

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

Step-by-step solution

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.

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