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Order of Operations Resources

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Order of Operations Resources

"The order of operations is a convention that tells us which steps to follow when simplifying expressions with more than one operation—commonly remembered by the acronym PEMDAS—so everyone gets the same, correct answer. Start by simplifying expressions inside parentheses, then evaluate exponents, next perform multiplication and division from left to right, and finish with addition and subtraction from left to right.

Education.com’s Order of Operations collection provides teacher- and student-ready materials that make learning PEMDAS concrete and repeatable. Find scaffolded worksheets, lesson plans, guided lessons, interactive practice, and quick assessments that illustrate each rule with step-by-step examples, visual cues, and increasingly challenging practice problems. Resources introduce the concept with simple mixed-operation equations, build fluency with left-to-right MD/AS examples, and extend to expressions that include exponents, nested parentheses, and real-world word problems—preparing learners for algebraic thinking.

Materials are organized so teachers and parents can filter by grade level and resource type to match classroom pacing or remediate gaps. Many lessons include answer keys, worked solutions, and differentiation tips for students who need extra support or enrichment. Keywords emphasized across the collection include order of operations, PEMDAS, evaluate expressions, mixed operations, parentheses, exponents, and algebra readiness. Mastering these rules on this page helps students avoid common mistakes and lays the groundwork for success with algebra, expressions, and higher-level problem solving."

Learn More About Order of Operations

The order of operations is a series of rules that tells us which procedures to perform first when evaluating a mathematical expression that has more than one operation (addition, subtraction, multiplication or division). The order of operations is a universal convention that’s followed in mathematics and was established as far back as the 1500s!
Learning the order of operations is so important that when students first learn it, they are taught a mnemonic device: PEMDAS (or “Please Excuse My Dear Aunt Sally”)

P  Parentheses first
E  Exponents (powers and square root)
MD  Multiplication and division
AS  Addition and subtraction

Let’s look at a basic equation with more than one operation:

2 + 3 x 4

According to the order of operations, multiplication is done before addition. To make this problem easier to visualize, set off the multiplication problem with parentheses, so we know to solve that first.

Therefore: 2 + (3 x 4)
2 + (12) = 14

If we didn’t follow the order of operations and just solved the equation from left to right, we would get: (2 + 3) x 4, or 5 x 4 = 20. This answer would be incorrect.
Let’s look at another example with an exponent, which students learn around fifth or sixth grade.

2 + 3 × 42

According to the order of operations, we would solve this equation in this order:

Exponents: 42 = 16
Multiplication: 3 x 16 =48
Addition: 2 + 48 = 50

Teach your students the order of operations using our worksheets and resources and they’ll have a solid foundation for more advanced algebraic operations!