Chapter 1: Q 112. (page 38)

In the following exercises, simplify each expression.
$11 - 3 [7 - 4 (- 2)]$

Short Answer

Expert verified

$- 34$

Step by step solution

Step 1. Given Information

The given expression is $11 - 3 [7 - 4 (- 2)]$ .

Step 2. Remove the bracket by applying order of operation.

Perform multiplication and then simplify further in the expression inside the bracket.

$\begin{array}{rcl} 11 - 3 [7 - 4 (- 2)] & = & 11 - 3 [7 + 8] \\ = & 11 - 3 [15] \end{array}$

Step 3. Apply the order of operation to simplify further.

Perform multiplication and then simplify.

$\begin{array}{rcl} 11 - 3 [15] & = & 11 - 45 \\ = & - 34 \end{array}$

Step 4. Conclusion

The resultant value is $- 34$ .

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.
$11 - 3 [7 - 4 (- 2)]$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Remove the bracket by applying order of operation.

Step 3. Apply the order of operation to simplify further.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Decision Maths

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.11-37-4-2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Remove the bracket by applying order of operation.

Step 3. Apply the order of operation to simplify further.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Decision Maths

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$11 - 3 [7 - 4 (- 2)]$