Chapter 1: Q8. (page 67)

Evaluate each expression. Name the property used in each step.
$\frac{2}{9} [9 \div (7 - 5)]$

Short Answer

Expert verified

The value of the given expression is.

Step by step solution

Step 1. Order of operations.

To evaluate any expression involving more than one operation, follow the below order of operations:

First, evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform multiplication and division from left to right.
Perform addition and subtraction from left to right.

Step 2. Solving parentheses.

$\begin{matrix} \frac{2}{9} [9 \div (7 - 5)] = \frac{2}{9} [9 \div 2] \\ = \frac{2}{9} \times \frac{9}{2} \end{matrix}$

Step 3. Simplifying the expression.

$\frac{2}{9} [9 \div (7 - 5)] = \frac{2}{9} \times \frac{9}{2} [Multiplicativeinverse] = 1$

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.

Evaluate each expression. Name the property used in each step.
$\frac{2}{9} [9 \div (7 - 5)]$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Solving parentheses.

Step 3. Simplifying the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Logic and Functions

Probability and Statistics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate each expression. Name the property used in each step.299÷7−5

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Solving parentheses.

Step 3. Simplifying the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Logic and Functions

Probability and Statistics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Evaluate each expression. Name the property used in each step.
$\frac{2}{9} [9 \div (7 - 5)]$