### Concept (1)

Sometimes it's hard to know what to do first with a mathematical equation. The order of operations, sometimes called PEMDAS, is how we know what to operation to do first so that we always get the right answer. When adding, subtracting, multiplying, or dividing numbers, if we didn't use the order of operations we would get different answers for the same equation.

### Sample Problems (8)

Need help with "Order of Operations" problems? Watch expert teachers solve similar problems to develop your skills.

Simplify:

8 ÷ ½ ⋅ 3 + (6 − 4)
###### Problem 1
How to use the order of operations to simplify with no exponents.

How to simplify:

(3 + 2)(-8)
(-3)² + 1
###### Problem 2
How to use the order of operations to simplify fractions.

How to simplify:

3 [2 (4 + 1)²] − 10²
###### Problem 3
How to use the order of operations to simplify multiple parenthesis groupings.
###### Problem 4
Common errors in applying exponents to negative bases versus subtraction problems
###### Problem 5
Organizational techniques for simplifying expressions using the order of operations
###### Problem 6
Applying the order of operations to simplifying fractions that have expressions in the numerator and/or denominator
###### Problem 7
Applying the order of operations to simplifying expressions with roots
###### Problem 8
Evaluating a quadratic expression with a negative leading coefficient and a negative input