Chapter 1: Q 115. (page 38)

In the following exercises, simplify each expression.
$9 - 3 |2 (2 - 6) - (3 - 7)|$

Short Answer

Expert verified

$- 3$

Step by step solution

Step 1. Given Information

The given expression is $9 - 3 |2 (2 - 6) - (3 - 7)|$ .

Step 2. Simplify the expression inside the absolute bar.

Remove the brackets first by subtracting 6 from 2 and subtracting 7 from 3.

$9 - 3 |2 (2 - 6) - (3 - 7)| = 9 - 3 |2 (- 4) - (- 4)|$

Apply the order of operation. Perform multiplication operations.

$9 - 3 |2 (- 4) - (- 4)| = 9 - 3 |- 8 + 4|$

Add $- 8$ and 4.

$9 - 3 |- 8 + 4| = 9 - 3 |- 4|$

Step 3. Use the definition of the absolute value.

Since the absolute value is always greater than and equal to 0, take the absolute value of the obtained value in the previous step.

$9 - 3 |- 4| = 9 - 3 (4)$

Simplify by performing multiplication operation first.

$\begin{array}{rcl} 9 - 3 (4) & = & 9 - 12 \\ = & - 3 \end{array}$

Step 4. Conclusion

The resultant value is $- 3$ .

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.
$9 - 3 |2 (2 - 6) - (3 - 7)|$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify the expression inside the absolute bar.

Step 3. Use the definition of the absolute value.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Decision Maths

Statistics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.9-322-6-3-7

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify the expression inside the absolute bar.

Step 3. Use the definition of the absolute value.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Decision Maths

Statistics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$9 - 3 |2 (2 - 6) - (3 - 7)|$