Q22. - Algebra 2

Question

Find the value of each expression

$2+8\left(5\right)÷2-3$

Step-by-Step Solution

Answer

Value of $2+8\left(5\right)÷2-3$ is 19

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Simplify expression inside grouping symbol

To evaluate the value of the given expression, first multiply then divide numbers from left to right as shown below

$\begin{array}{c}2+8\left(5\right)÷2-3=2+40÷2-3\\ =2+20-3\end{array}$

Step 3 - Add 2 with 40 then subtract 3

Now, to simplify further add and subtract the numbers to get 

 $\begin{array}{c}2+20-3=22-3\\ =19\end{array}$