Chapter 1: Q28. (page 30)

Evaluate each expression if a=-5,b=6 and c=2.8
$|a - b| - |10 c - a|$

Short Answer

Expert verified

The absolute value of expression is $- 22$

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 subtraction inside first pair of bracket

Perform the multiplication and subtraction inside the second pair of bracket

Evaluate the absolute values of the pair

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

$\begin{matrix} | a - b | - | 10 c - a | = | - 5 - 6 | - | 10 \times 2.8 - (- 5) | \\ = | - 11 | - | 28 + 5 | \end{matrix}$

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

The absolute value of $|- 11| = 11$ and $|33| = 33$

The solution is $11 - 33 = - 22$ .

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.

Evaluate each expression if a=-5,b=6 and c=2.8
$|a - b| - |10 c - a|$

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

Statistics

Decision Maths

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if a=-5,b=6 and c=2.8a-b-10c-a

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

Statistics

Decision Maths

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if a=-5,b=6 and c=2.8
$|a - b| - |10 c - a|$