Order of Operations - Concept

Concept Concept (1)

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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 Sample Problems (8)

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Order of Operations - Problem 1

Simplify:

8 ÷ ½ ⋅ 3 + (6 − 4)
Problem 1
How to use the order of operations to simplify with no exponents.
Order of Operations - Problem 2

How to simplify:

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

How to simplify:

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