Q5. - Algebra 2

Question

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

$\left|a+12\right|$

Step-by-Step Solution

Answer

The absolute value of expression is 8.

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

 

• Perform multiplication 

 

• 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

$\begin{array}{c}|a+12|=|-4+12|\\ =\left|8\right|\end{array}$

Step3- Find the absolute value of expression inside the bracket

The absolute value of $\left|8\right|=8$.