Chapter 1.4, Problem 2BGP

To determine

Rewrite the expression $44\cdot 2\frac{1}{2}$ using distributive property and then evaluate it.

Answer to Problem 2BGP

The value of the expression $44\cdot 2\frac{1}{2}$ is $110$ .

Explanation of Solution

Given:

The expression is $44\cdot 2\frac{1}{2}$ .

Calculation:

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

The expression $44\cdot 2\frac{1}{2}$ is simplified using distributive property as follows:

  $\begin{array}{c}44\cdot 2\frac{1}{2}=44\left(2+\frac{1}{2}\right)\\ =\left(44\times 2\right)+\left(44\times \frac{1}{2}\right)\\ =88+22\\ =110\end{array}$

Thus, the value of the expression $44\cdot 2\frac{1}{2}$ is $110$ .