Chapter 1: Q27. (page 30)

Evaluate each expression if a=-5, b=6 and c=2.8
$3 |a - 10| + |2 a|$

Short Answer

Expert verified

The absolute value of expression is $55$ .

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 inside the second pair of bracket

Evaluate the absolute values of the pair

Perform the addition 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

$\begin{matrix} 3 | a - 10 | + | 2 a | = 3 | - 5 - 10 | + | 2 \times - 5 | \\ = 3 | - 15 | + | - 10 | \end{matrix}$

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

The absolute value of $|- 15| = 15$ and $|- 10| = 10$

The solution is,

$\begin{matrix} 3 \times 15 + 10 = 45 + 10 \\ = 55 \end{matrix}$

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Evaluate each expression if a=-5, b=6 and c=2.8
$3 |a - 10| + |2 a|$

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

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Evaluate each expression if a=-5, b=6 and c=2.83a-10+2a

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

Pure Maths

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Evaluate each expression if a=-5, b=6 and c=2.8
$3 |a - 10| + |2 a|$