Grade 4Mathhard
Order of Operations
Order of Operations — Order of Operations worksheet for Grade 4.
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What Your Child Will Learn
- Apply the correct order of operations (PEMDAS/BODMAS) to solve multi-step arithmetic problems involving parentheses, multiplication, division, addition, and subtraction
- Distinguish between problems that require following order of operations versus those that can be solved left-to-right, and explain why the sequence matters
- Evaluate complex expressions with mixed operations and parentheses by correctly identifying which operation to perform first, second, and third
- Solve challenging word problems that require translating language into expressions and applying order of operations to find the correct answer
How to Use This Worksheet
- Step 1: Review the order of operations acronym (PEMDAS/BODMAS) with your student. Create a visual anchor chart showing the sequence: Parentheses first, then Exponents (if present), then Multiplication and Division from left to right, then Addition and Subtraction from left to right.
- Step 2: Work through the first problem together as a guided example. Have your student identify and mark each operation, then solve step-by-step, saying aloud which operation they're doing and why (e.g., 'I'm doing multiplication first because it comes before addition in the order of operations').
- Step 3: Direct your student to solve problems 2-5 independently while you observe. Ask them to write out each step separately and circle/underline the operation they're performing at each stage. Check their work before moving forward.
- Step 4: Review any errors from problems 2-5 together, specifically discussing where the order of operations rule was missed. Re-teach that particular sequence if needed.
- Step 5: Have your student complete problems 6-10 independently. These harder problems should push mastery—encourage them to slow down, write neatly, and show all work. Review the final answers together and celebrate correct application of the order of operations.
Tips for Parents & Teachers
Many fourth graders struggle when parentheses are involved—emphasize that parentheses are 'do me first' signals and must be completed before any other operation, even multiplication or division. Have your student circle or box the parentheses first before solving anything else.
A common error is performing operations left-to-right without considering the actual order of operations rules. If your student solves 2 + 3 × 4 as 5 × 4 = 20 instead of 2 + 12 = 14, explicitly model solving multiplication/division BEFORE addition/subtraction, using color-coding or arrows to show the correct sequence.
At the 'hard' difficulty level, these problems likely mix multiple operations and parentheses. Encourage your student to write out each step on separate lines rather than trying to do it mentally. This prevents skipped steps and makes it easier to catch errors.
Use a mnemonic anchor (like PEMDAS or 'Please Excuse My Dear Aunt Sally') and have your student say it aloud before tackling each problem to reinforce the sequence: Parentheses, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right).
Frequently Asked Questions
Why does order of operations matter? Can't students just solve problems left to right?
Order of operations ensures everyone gets the same answer when solving the same problem. Without it, different people would solve 2 + 3 × 4 different ways and get different answers. Mathematicians agreed on a universal order so that math works the same everywhere. By fourth grade, students need to understand that multiplication and division 'have priority' over addition and subtraction, so 2 + 3 × 4 must equal 14, not 20.
My student keeps forgetting about parentheses. How can I help them remember to do those first?
Make parentheses visually prominent by having your student circle or highlight them before solving anything else. You can say, 'Parentheses are like VIP guests—they get served first at the restaurant!' This makes it memorable and concrete. Have them physically put a finger on the parentheses and say 'Do me first!' before starting any problem.
What's the difference between how multiplication and division should be handled, and addition and subtraction?
Multiplication and division have equal priority and are solved left to right (whichever appears first in the problem). Same with addition and subtraction—they have equal priority and are solved left to right. So in 12 ÷ 2 × 3, you divide first (getting 6) then multiply by 3 (getting 18). Students often think multiplication always comes before division, but that's not true.
These problems look really complicated. Is my student ready for this difficulty level?
Fourth graders working at 'hard' difficulty are being pushed into multi-step problems that combine several operations and parentheses—this is appropriately challenging for advanced learners. If your student struggles significantly, it's okay to start with simpler two-operation problems and build up. However, this worksheet is designed to stretch capable fourth graders and develop deeper mathematical thinking about why order matters.
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