How to use the practice tool
Look at the current expression and perform exactly one operation. Enter the entire updated expression rather than entering only the result of the operation.
Free Interactive Math Tool
Step-by-Step PEMDAS Practice
Practice the order of operations by simplifying each expression one step at a time. Receive immediate feedback, helpful hints, and a complete score summary.
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Problem 1 of 10
10%
Current expression
Complete exactly one operation.
Original problem
3 + 2 × (8 − 5)
Your work
0 steps completed
- Start 3 + 2 × (8 − 5)
Simplify this expression
3 + 2 × (8 − 5)
Start by completing the first operation required by PEMDAS.
Hint
Begin by simplifying the expression inside the parentheses.
PEMDAS order
- P: Parentheses and other grouping symbols
- E: Exponents
- MD: Multiplication and division from left to right
- AS: Addition and subtraction from left to right
Problems Solved
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Correct Steps
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Incorrect Attempts
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Current Streak
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Practice Round Complete
Great work!
You completed all 10 order of operations problems.
Problems Solved
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Correct Steps
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Incorrect Attempts
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Step Accuracy
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Work one step at a time
The tool checks whether the operation you completed follows PEMDAS. It will also check multiplication and division from left to right and addition and subtraction from left to right.
How scoring works
Your results track completed problems, correct steps, incorrect attempts, consecutive correct steps, and your overall step-by-step accuracy.
Example
What does one step at a time mean?
Suppose the original expression is:
3 + 2 × (8 − 5)
1
Simplify the parentheses
3 + 2 × 3
2
Multiply
3 + 6
3
Add
9
The student enters each complete expression separately. Skipping directly from the original expression to 9 would not count as completing one step at a time.
Build Order of Operations Skills Through Guided Practice
Understanding the order of operations is an essential foundation for arithmetic, pre-algebra, algebra, geometry, and higher-level mathematics. This free PEMDAS practice tool helps students learn not only which answer is correct, but also why each operation must be performed in a particular order.
Instead of asking students to enter only a final answer, the tool requires them to rewrite the full expression after completing one operation. This encourages organized work, makes mathematical reasoning visible, and helps identify exactly where an order-of-operations mistake occurs.
What Does PEMDAS Stand For?
PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division have equal priority and must be completed from left to right. Addition and subtraction also have equal priority and must be completed from left to right.
Why Step-by-Step PEMDAS Practice Matters
Students sometimes arrive at an incorrect answer even when they understand the individual arithmetic operations. The difficulty often comes from deciding which operation to complete first. Step-by-step practice focuses directly on that decision-making process.
Rewriting an expression after each operation also helps students avoid trying to complete too many calculations mentally. Clear intermediate steps reduce mistakes and create work that is easier to check.
Three PEMDAS Difficulty Levels
Beginner problems focus on basic multiplication, division, addition, and subtraction. Intermediate problems introduce parentheses and longer expressions. Advanced problems may include exponents, multiple grouping symbols, and more complex left-to-right decisions.
Free PEMDAS Practice on Any Device
The practice tool works on desktop computers, tablets, and phones without requiring an account or download. It can be used during tutoring sessions, for homework support, as classroom review, or for independent daily practice.