Chapter 1.3, Problem 61PFA

To determine

Choose the correct answer.

Answer to Problem 61PFA

D. $\frac{c}{d}·\frac{d}{c}=1$

Explanation of Solution

Given information:

Renee wants to solve the equation $\frac{3}{4}b=6$ . To do this, she will use the Multiplicative Inverse Property. Which of the following equations best illustrates this property?

  $\begin{array}{l}○\text{A}8+7=7+8\\ ○\text{B}a=a·1\\ ○\text{C}a·0=a\\ ○\text{D}\frac{c}{d}·\frac{d}{c}=1\left(c\ne 0,d\ne 0\right)\end{array}$

Multiplicative inverse property is a property in which a number is multiplied by its Reciprocal and its result will be equal to 1.

For Example:

  $a·\frac{1}{a}=1$

So, in the above question Multiplicative inverse property is only hold by “Option D”or $\frac{c}{d}·\frac{d}{c}=1$