Chapter 1: Q26. (page 30)

Evaluate each expression if a=-5, b=6 and c=2.8
$9 - |- 2 b + 8|$

Short Answer

Expert verified

The absolute value of expression is $5$ .

Step by step solution

Step1- Order of evaluation

To evaluate any expression involving one operation, follow the below order of operation

First replace the algebraic expression inside the grouping symbols like matrix brackets ( $||$ ) with numeric expression
Perform the multiplication inside the bracket

Perform the addition inside the bracket

Evaluate the absolute value

Perform the subtraction from left to right

Step2- Simplify the expression inside grouping symbol

To evaluate the value of given expression , simply the expression inside the bracket and then find the absolute value of expression as shown below

$\begin{matrix} 9 - | - 2 b + 8 | = 9 - | - 2 \times 6 + 8 | \\ = 9 - | - 12 + 8 | \\ = 9 - | - 4 | \end{matrix}$

Step3- Find the absolute value of expression inside the bracket and subtract

The absolute value of $|- 4| = 4$

The solution is 9-4=5.

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Evaluate each expression if a=-5, b=6 and c=2.8
$9 - |- 2 b + 8|$

Short Answer

Step by step solution

Step1- Order of evaluation

Step2- Simplify the expression inside grouping symbol

Step3- Find the absolute value of expression inside the bracket and subtract

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Evaluate each expression if a=-5, b=6 and c=2.89--2b+8

Short Answer

Step by step solution

Step1- Order of evaluation

Step2- Simplify the expression inside grouping symbol

Step3- Find the absolute value of expression inside the bracket and subtract

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Evaluate each expression if a=-5, b=6 and c=2.8
$9 - |- 2 b + 8|$