Chapter 1: Q12. (page 19)

Example 1 Evaluate each expression. Name the property used in each step.
12. $[3 \div (2 \cdot 1)] \frac{2}{3}$

Short Answer

Expert verified

The value of the expression is 1.

Step by step solution

– Write the formulae used

Inverse property of multiplication:

$a \cdot \frac{1}{a} = \frac{1}{a} \cdot a = 1$

Identity property of multiplication:

$a \cdot 1 = a \cdot 1 = a$

– Write the given information

The expression given is

$[3 \div (2 \cdot 1)] \frac{2}{3}$

- DESCRIPTION OF STEP

To solve the given expression first solve the operation inside the small bracket, then solve the square bracket, and then proceed to simplify further as:

$\begin{matrix} [3 \div (2 \cdot 1)] \frac{2}{3} = [3 \div (2)] \frac{2}{3} identityproperty \\ = [\frac{3}{2}] \frac{2}{3} \\ = \frac{3}{2} \cdot \frac{2}{3} \\ = 1 inverseproperty \end{matrix}$

Thus, $[3 \div (2 \cdot 1)] \frac{2}{3} = 1$

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.

Example 1 Evaluate each expression. Name the property used in each step.
12. $[3 \div (2 \cdot 1)] \frac{2}{3}$

Short Answer

Step by step solution

– Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Example 1 Evaluate each expression. Name the property used in each step.12.[3÷2⋅1]23

Short Answer

Step by step solution

– Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Example 1 Evaluate each expression. Name the property used in each step.
12. $[3 \div (2 \cdot 1)] \frac{2}{3}$