Question

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

$-\left|c-a\right|$

Short answer

The absolute value of expression is$\mathbf{-}\mathbf{8}\mathbf{.}\mathbf{8}$.

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 ( $\left|\right|$) with numeric expression
• Perform the subtraction 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

$\begin{array}{c}-|c-a|=-\left|2.8-(-6)\right|\\ =-|2.8+6|\\ =-\left|8.8\right|\end{array}$

Step3- Find the absolute value of expression inside the bracket

The absolute value of $-\left|8.8\right|=-8.8$.