Chapter 1.3, Problem 44PPS

To determine

To find the value of x in equation

  $5\cdot \frac{1}{5}=x$ , and to name the property used.

Answer to Problem 44PPS

  $x=1$

And the property used is inverse property of addition.

Explanation of Solution

Given:

  $5\cdot \frac{1}{5}=x$

Concept Used:

Inverse property of multiplication:

  $a\cdot \frac{1}{a}=1$

Calculation:

In order to find the value of x

$5\cdot \frac{1}{5}=x$

Use inverse property of multiplication according to which

  $a\cdot \frac{1}{a}=1$

Thus,

  $\begin{array}{c}5\cdot \frac{1}{5}=x\\ 1=x\\ \Rightarrow x=1\end{array}$

Thus, for given equation $x=1$ . And the property used is inverse property of multiplication.