Q79. - Algebra 2

Question

Find the value of each expression

79. $5+9÷3\left(3\right)-8$

Step-by-Step Solution

Answer

Value of $5+9÷3\left(3\right)-8$ is $-2$

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 simplify the expression inside the parenthesis then perform division from left to right as shown below

$\begin{array}{c}5+9÷3\left(3\right)-8=5+9÷9-8\\ =5+1-8\end{array}$

Step 3 - Add 5 with 1 then subtract 8

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

$\begin{array}{c}5+1-8=6-8\\ =-2\end{array}$