Chapter 4: Q59. (page 166)

Name the property illustrated by each equation.
59. $\frac{7}{9} . \frac{9}{7} = 1$

Short Answer

Expert verified

The property illustrated by the equation $\frac{7}{9} \cdot \frac{9}{7} = 1$ is inverse property of multiplication.

Step by step solution

- Define inverse property of multiplication

The inverse property of multiplication is if $a \neq 0$ , then $a \cdot \frac{1}{a} = 1 = \frac{1}{a} \cdot a$ where $\frac{1}{a}$ is the multiplicative inverse if a and vice versa.

- State an example

Give an example to illustrate the inverse property of multiplication. Let $π$ , then $\frac{1}{a}$ will be the multiplicative inverse since $a \neq 0$ .

$\begin{matrix} a \cdot \frac{1}{a} = 1 \\ \frac{4}{3} \cdot \frac{1}{a} = 1 \\ \frac{1}{a} = \frac{3}{4} \end{matrix}$

Therefore, $\frac{4}{3} \cdot \frac{3}{4} = 1 = \frac{3}{4} \cdot \frac{4}{3}$ .

- State the conclusion

Since it is given that $\frac{7}{9} \cdot \frac{9}{7} = 1$ , therefore, as per the definition of inverse property of multiplication, $\frac{7}{9}$ and $\frac{9}{7}$ are multiplicative inverses of each other.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Name the property illustrated by each equation.
59. $\frac{7}{9} . \frac{9}{7} = 1$

Short Answer

Step by step solution

- Define inverse property of multiplication

- State an example

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Logic and Functions

Decision Maths

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.59. 79.97=1

Short Answer

Step by step solution

- Define inverse property of multiplication

- State an example

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Logic and Functions

Decision Maths

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
59. $\frac{7}{9} . \frac{9}{7} = 1$