Chapter 1.3, Problem 64PFA

To determine

Choose the correct answer.

Answer to Problem 64PFA

The correct answer is “Option C” orMultiplicative Inverse property.

Explanation of Solution

Given information:

Which property justifies rewriting the equation $\frac{1}{6}\cdot 6+z=8$ as $1+z=8$

1. Additive Identity Property
2. Multiplicative Identity Property
3. Multiplicative Inverse Property
4. Substitution

As we can see $\frac{1}{6}\cdot 6+z=8$ is getting reduced to $1+z=8$ , the term $\frac{1}{6}\cdot 6$ is getting reduced to 1 with the help of “Multiplicative Inverse Property”, which states that the multiplication of a number with it’s reciprocal results into 1.

Therefore:

  $\begin{array}{l}a\times \frac{1}{a}=1\\ \\ \boxed{\therefore 6\times \frac{1}{6}=1}\end{array}$