Order of Operation
Some math problems are a mixture of addition, subtraction, division, and multiplication. An operation to be performed might be true for one item but not another, so parentheses are used () for clarification.
There is a specific order to follow when making calculations.
The order in which operations are performed is:
 Parentheses: ( )
 Exponents: 2^{3}
 Multiplication and division
 Addition and subtraction
 Left to right
Note: It is always useful to add parentheses to clarify the order.
Example 1  Solve 10 + 10 ÷ 10
Step 1. Division is performed before addition. 10 ÷ 10 = 1
Step 2. Add. 10 + 1 = 11
10 + 10 ÷ 10 = 11
The same example can be rewritten: 10 + 10 ÷ 10 10 + (10 ÷ 10). Using the parentheses helps clarify the order of operation.
Example 2  Solve 6^{3} ÷ (10  8)^{2} ÷ 2 + 2
Step 1. Parentheses. 6^{3} ÷ (10  8)^{2} ÷ 2 + 2 = 6^{3} ÷ 2^{2} ÷ 2 + 2
Step 2. Exponents. 216 ÷ 4 ÷ 2 + 2
Step 3. Division in order from left to right. 216 ÷ 4 = 54 54 ÷ 2 = 27
Step 4. Addition. 27 + 2 = 29
6^{3} ÷ (10  8)^{2} ÷ 2 + 2 = 29
