Q7. Name the property illustrated by... [FREE SOLUTION]

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Chapter 1: Q7. (page 15)

Name the property illustrated by each equation.
$\frac{2}{3} 路 \frac{3}{2} = 1$

Short Answer

Expert verified

Name of the property illustrated is Multiplicative Inverse.

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table:

For any real numbers a, b, and c:
Property	Addition	Multiplication
Commutative	a+b=b+a	$a 路 b = b 路 a$
Associative	$(a + b) + c = a + (b + c)$	$(a 路 b) 路 c = a 路 (b 路 c)$
Identity	a+0=a=0+a	$a 路 1 = a = 1 路 a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Substitution in given values

Substitute a for $\frac{2}{3}$ in given equation.

As, $\frac{3}{2}$ can be written as $\frac{1}{\frac{2}{3}}$ . Replace $\frac{3}{2}$ with $\frac{1}{a}$ in the given equation

Now equation becomes $a 路 \frac{1}{a} = 1$

- Identify the property

From the table of properties of real numbers, $a 路 \frac{1}{a} = 1$ is the property of multiplicative inverse.

Thus, multiplicative inverse is illustrated by given equation.

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91影视

Name the property illustrated by each equation.
$\frac{2}{3} 路 \frac{3}{2} = 1$

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

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91影视

Name the property illustrated by each equation.23路32=1

Short Answer

Step by step solution

- Write properties of real numbers

- Substitution in given values

- Identify the property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$\frac{2}{3} 路 \frac{3}{2} = 1$