According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last. For the given expression, this means evaluating inside the parenthetical expression completely before the other operations.
10 - (2^3 + 4)÷ 3 - 1Notice also that even within parentheses, we must obey the order of operations.
2^3 + 4
For this, we must remember to evaluate the exponent first and the addition next.
Operation
Before Simplification
After Simplification
Calculate power
10 - ( 2^3 + 4)÷ 3 - 1
10 - ( 8 + 4)÷ 3 - 1
Add terms
10 - ( 8 + 4)÷ 3 - 1
10 - 12÷ 3 - 1
Calculate quotient
10 - 12÷ 3 - 1
10 - 4 - 1
Subtract term
10 - 4 - 1
6 - 1
Subtract term
6 - 1
5
The expression equals 5.
Alternative Solution
Using a Calculator
We can also evaluate this expression using a calculator. To do so, type it as shown below.
