Mathematical expressions can have numbers, operations ( + - x / ), exponents,
and parentheses. There is a set of rules called the Order of Operations
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.
5 x 6 + 3 = ?
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 = 30
Our expression is now 30 + 3. Let's perform step 4.
30 + 3 = 33
We have found our answer. 5 x 6 + 3 = 33