Chapter 1: Q 114. (page 38)

In the following exercises, simplify each expression.
$7 - |5 - 3 (4 - 1) - 6|$

Short Answer

Expert verified

$- 3$

Step by step solution

Step 1. Given Information

The given expression is $7 - |5 - 3 (4 - 1) - 6|$ .

Step 2. Simplify the expression inside the absolute bar.

Remove the bracket first by subtracting 1 from 4.

$7 - |5 - 3 (4 - 1) - 6| = 7 - |5 - 3 (3) - 6|$

Apply the order of operation. Multiply 3 by 3 and then simplify further by adding and subtracting.

$\begin{array}{rcl} 7 - |5 - 3 (3) - 6| & = & 7 - |5 - 9 - 6| \\ = & 7 - |5 - 15| \\ = & 7 - |- 10| \end{array}$

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.
Simplify.

$\begin{array}{rcl} 7 - |- 10| & = & 7 - 10 \\ = & - 3 \end{array}$

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In the following exercises, simplify each expression.
$7 - |5 - 3 (4 - 1) - 6|$

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.

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In the following exercises, simplify each expression.7-5-34-1-6

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$7 - |5 - 3 (4 - 1) - 6|$