Q7. - Algebra 2

Question

Evaluate each expression if $a=-4$  and $b=1.5$ 

$-\left|a+21\right|$ 

Step-by-Step Solution

Answer

The absolute value of the expression is -17

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 ( $\left|\right|$) with numeric expression

 

• Perform addition inside the bracket

 

• Evaluate the absolute value

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

$\begin{array}{c}-|a+21|=-|4+21|\\ =-\left|17\right|\end{array}$

Step3- Find the absolute value of expression inside the bracket

The absolute value of  $-\left|17\right|=-17$.