Q59. Name the property illustrated by... [FREE SOLUTION]

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 $\frac{7}{9} 路 \frac{9}{7} = 1$ is inverse property of multiplication.

Step by step solution

- Define inverse property of multiplication

The inverse property of multiplication is if $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$ 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 $蟺$ , then $\frac{1}{a}$ will be the multiplicative inverse since $a 鈮� 0$ .

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

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

- State the conclusion

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

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91影视

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

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91影视

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

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