Question

Describe how will you evaluate the expression$a+b\left[\left(c+d\right)÷e\right]$ given values for$a,b,c,d,$ and $e$

Short answer

Follow the following steps:

• To simplify parentheses add $c$with $d$
• Divide resultant with $e$
• Then multiply it by$b$
• Finally add$a$ to get resultant value

Step-by-step solution

- Follow order for simplification 

Firstly, evaluate expression inside parentheses, brackets, braces and fraction

Then simplify powers

Then do multiplication and/or division from left to right

Then do add and/or subtract from left to right

- Simplify bracket

$\left[\left(c+d\right)÷e\right]$

Since, parentheses is inside bracket so first simplify it by adding $c\text{and}d$ then divide resultant by$e$

-Multiply resultant of bracket with b then add a

$a+b\left[\left(c+d\right)÷e\right]=a+\underset{}{\underbrace{b\times \left[\left(c+d\right)÷e\right]}}$

Thus, given expression will be evaluated by following steps

• To simplify parentheses add $c$with $d$
• Divide resultant with $e$
• Then multiply it by $b$
• Finally add$a$ to get resultant value