## Order of Operations
General Explanation
Mathematical expressions can have numbers, operations ( + - x / ), exponents,
and parentheses. There is a set of rules called the Order of Operations that specifies
the order in which these operations should be performed.
The basic rules of the order of operations are: - Do all operations within
**grouping symbols**first. Start with the innermost grouping symbols and work outward. Note: grouping symbols may be parentheses () and brackets []. - Next, evaluate all
**exponents**, from left to right. - Next, do
**multiplication**and**division**, working from left to right. - Finally, do
**addition**and**subtraction**working from left to right.
Sample Problem
5 x 6 + 3 = ?
Solution
Since there are no grouping symbols, we jump to step 2. And since there are no exponents, we jump to step 3.
Let's perform the multiplication.
5 x 6 = 30Our expression is now 30 + 3. Let's perform step 4. 30 + 3 = 33We have found our answer. 5 x 6 + 3 = 33 |