Chapter 1: Q25. (page 30)

Evaluate each expression if a=-5,b=6 and c=2.8
$6 - |3 c + 7|$

Short Answer

Expert verified

The absolute value of expression is $- 9.4$

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, simplify the expression inside the bracket and then find the absolute value of expression as shown below

$\begin{matrix} 6 - | 3 c + 7 | = 6 - | 3 \times 2.8 + 7 | \\ = 6 - | 8.4 + 7 | \\ = 6 - | 15.4 | \end{matrix}$

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

The absolute value of $|15.4| = 15.4$

The solution is role="math" localid="1645541473647" $6 - 15.4 = - 9.4$ .

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Evaluate each expression if a=-5,b=6 and c=2.8
$6 - |3 c + 7|$

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=2.86-3c+7

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

Logic and Functions

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate each expression if a=-5,b=6 and c=2.8
$6 - |3 c + 7|$