Chapter 1: Q.20 (page 21)

In the following exercises, simplify each expression.
$3^{2} - 18 \div (11 - 5)$

Short Answer

Expert verified

The simplified value of the expression is 6.

Step by step solution

Step 1. Given Information

Given expression is $3^{2} - 18 \div (11 - 5)$

The simplified value of the expression is to be determined.

Step 2. Simplifying expression using the Order of Operations

According to the Order of Operations, the expression is to be simplified in the order of:

Parenthesis

Exponents

Multiplication/Division (from left to right)

Addition/Subtraction (from left to right).

Using the above rules to simplify the expression:

$3^{2} - 18 \div (11 - 5) = 3^{2} - 18 \div 6 3^{2} - 18 \div (11 - 5) = 9 - 18 \div 6 3^{2} - 18 \div (11 - 5) = 9 - 3 3^{2} - 18 \div (11 - 5) = 6$

Step 3. Conclusion

Therefore, the simplified value of the expression is 6.

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.

In the following exercises, simplify each expression.
$3^{2} - 18 \div (11 - 5)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplifying expression using the Order of Operations

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Logic and Functions

Statistics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.32-18÷11-5

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplifying expression using the Order of Operations

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Logic and Functions

Statistics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$3^{2} - 18 \div (11 - 5)$