Q6. - Algebra 2

Question

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

$\left|-6b\right|$

Step-by-Step Solution

Answer

The absolute value of expression inside bracket is 9

Step1- Order of evaluation

To evaluate an 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 multiplication 
• Evaluate the absolute value

Step2- Simplify the expression inside grouping symbol

Evaluate the value of given expression, simply the expression inside the bracket and then find the absolute value of expression as shown below

$\begin{array}{c}|-6b|=|-6\times 1.5|\\ =|-9|\end{array}$

Step3-Find the absolute value of expression inside the bracket

The absolute value of $\left|-9\right|=9$