Q33. Name the property illustrated by... [FREE SOLUTION]

Chapter 1: Q33. (page 15)

Name the property illustrated by each equation.
$(1 \frac{2}{7}) (\frac{7}{9}) = 1$

Short Answer

Expert verified

Name of the property illustrated isMultiplicative Inverse.

Step by step solution

- Write properties of real numbers

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

First simplify mixed fraction

$\begin{matrix} 1 \frac{2}{7} = 1 + \frac{2}{7} \\ = \frac{7}{7} + \frac{2}{7} \\ = \frac{7 + 2}{7} \\ = \frac{9}{7} \end{matrix}$

Substitute a for $\frac{9}{7}$

As $\frac{7}{9}$ can be written as $\frac{1}{\frac{9}{7}}$ which further can be written as $\frac{1}{a}$

Now given 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 inverse in multiplication

Thus, multiplicative inverse is illustrated by given equation.

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91影视

Name the property illustrated by each equation.
$(1 \frac{2}{7}) (\frac{7}{9}) = 1$

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.12779=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

Calculus

Discrete Mathematics

Geometry

Decision Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
$(1 \frac{2}{7}) (\frac{7}{9}) = 1$