Chapter 1.5, Problem 32PPE

To determine

To write the property that justifies the given expression.

Answer to Problem 32PPE

Multiplicative inverse property justifies the given expression & option C is correct.

Explanation of Solution

Given:

The expression $\frac{1}{6}\cdot 6+z=8$ is written as $1+z=8$ .

The multiplicative inverse property states that for every number that is not zero, multiplied with its reciprocal will equal 1.

That is,

  $x\cdot \frac{1}{x}=\frac{1}{x}\cdot x=1$ , where $x$ is any non zero real number.

Here $\frac{1}{6}\cdot 6$ is replaced by 1.

Therefore multiplicative inverse property justifies the given expression.

Hence option C is correct.