Printable PEMDAS Worksheets in PDF: Order of Operations Practice

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PEMDAS — Parentheses, Exponents, Multiplication and Division, Addition and Subtraction — is the order kids follow to solve multi-step equations correctly. These free grade 5 & 6 worksheets give step-by-step practice applying that rule to equations with whole numbers, decimals, and exponents, and every printable PDF includes a full answer key. For more order of operations practice, see Brighterly’s order of operations worksheets collection.

Students can also practice the order of operations with exponents, learning how to evaluate powers before completing multiplication, division, addition, and subtraction.

PEMDAS Worksheet Examples

Printable PEMDAS Worksheets in PDF

Printable PEMDAS Worksheets in PDF

Order of Operations with Exponents Worksheet PDF

Order of Operations with Exponents Worksheet PDF

PEMDAS Worksheets: Free Download

This topic is available as downloadable worksheet files:

Printable PEMDAS Worksheets in PDF: Order of Operations Practice
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Download Worksheet 4

The PEMDAS Rule

PEMDAS is a memory aid for the order in which operations should be applied in a multi-step equation:

Letter Stands For
P Parentheses
E Exponents
M / D Multiplication and Division (left to right)
A / S Addition and Subtraction (left to right)

Worked Example

  • Simplify: 5.17 + [3.2 × 4.4 ÷ (3.3 − 1.1)]
  • Parentheses first: 3.3 − 1.1 = 2.2
  • Division next: 4.4 ÷ 2.2 = 2
  • Multiplication next: 3.2 × 2 = 6.4
  • Addition last: 5.17 + 6.4 = 11.57

Working through the steps in this order — rather than left to right — is what makes PEMDAS equations solvable consistently, no matter how many operations are mixed together.

Order of Operations With Exponents Worksheets

Order of operations with exponents worksheets help sixth graders solve numerical expressions that combine powers, parentheses, multiplication, division, addition, and subtraction. Students practice evaluating exponents at the correct stage of PEMDAS and working through multi-step calculations without changing the order of operations.

For example, consider 3 + 2³ × 2. First, evaluate the exponent: 2³ = 8. Next, multiply 8 × 2 = 16. Finally, add 3 to get 19.

These printable worksheets also include expressions with parentheses and powers, helping students understand the difference between squaring a number and squaring an entire expression.

More Order of Operations Worksheets

This worksheet is part of a wider order of operations cluster:

More Grade 5 and 6 Math Worksheets

Combine PEMDAS practice with other grade 5-6 skills:

Benefits of These PEMDAS Worksheets

  • Progressively more challenging equations as skills build
  • Repetition to help cement the PEMDAS rule
  • A full answer key for self-paced, independent learning
  • Builds toward more complex concepts like algebra
  • Created by expert, qualified math tutors

These worksheets start with simple PEMDAS exercises and progress to more complex equations as a student’s understanding improves, giving them enough repetition to make the rule automatic rather than something they have to stop and think through each time.

Every worksheet includes an answer key, so kids can check their own work and build confidence independently. To practice further, try Brighterly’s order of operations practice problems, which let students test their knowledge and get instant feedback.

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Frequently Asked Questions

What do PEMDAS worksheets help students practice?

PEMDAS worksheets give students step-by-step practice applying the order of operations rule — Parentheses, Exponents, Multiplication and Division, then Addition and Subtraction — to multi-step equations. Each free, printable PDF includes a mix of whole numbers, decimals, and exponents so kids practice recognizing which operation to apply first in a variety of equation types.

What grade are these PEMDAS worksheets for?

These PEMDAS worksheets are suitable for grades 5–6. Fifth graders can practice the basic order of operations, while sixth graders can work with more challenging expressions involving whole-number exponents. Older students can also use the worksheets to review their calculation skills.

What does PEMDAS stand for?

PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction — the order in which each operation should be applied in a multi-step equation. Multiplication and division are done together, working left to right, and addition and subtraction are done together the same way, after everything inside parentheses and any exponents are resolved first.

Do these worksheets include an answer key?

Yes, every PEMDAS worksheet in this set includes a full answer key alongside the practice problems. This allows kids to check their own work as they go, building independent study skills and giving parents or tutors an easy way to review a student’s progress without solving each multi-step equation by hand first.

Are there other worksheets that pair well with PEMDAS practice?

Yes, this worksheet pairs well with Brighterly’s wider order of operations cluster, including the 5th grade order of operations worksheets and the general order of operations worksheets collection. Students who are ready to build on PEMDAS with more advanced equation practice can also explore Brighterly’s algebra worksheets for the next step.

Do these PEMDAS worksheets include exponents?

Yes, these PEMDAS worksheets include practice with exponents and multi-step numerical expressions. Students learn to evaluate powers after working through the relevant parentheses and before multiplication, division, addition, and subtraction. For example, 3 + 2³ × 2 equals 19 because the exponent and multiplication are evaluated before addition.

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