Third/Order Of Operations
4 Operations with Parentheses (Advanced)
Advanced order of operations practice with all 4 operations. Students must follow the full PEMDAS/BODMAS rules: Parentheses, then Multiply/Divide, then Add/Subtract.
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Practice Questions
- (10 + 2) ÷ 4 + 5 = ?
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8
- 5 + (3 x 4) - 10 = ?
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7
- 20 - (12 ÷ 2) + 4 = ?
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18
- (6 + 4) x 2 - 5 = ?
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15
- 8 + (20 ÷ 5) x 2 = ?
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16
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Teacher Resources
Teaching Notes
This is the most challenging set. It introduces the hierarchy of operations outside the parentheses (Mult/Div before Add/Sub). Ensure students are comfortable with this rule before starting.
Vocabulary
Parentheses: Symbols that group numbers and operations.
Order of Operations: Rules for solving math problems.
Common Mistakes
- Solving left to right regardless of operation (e.g., 10 + 2 x 3 -> 12 x 3 = 36, instead of 10 + 6 = 16)
- Ignoring parentheses first
- Incorrect Mult/Div order (left to right)
- Incorrect Add/Sub order (left to right)
- Misinterpreting operation symbols
Differentiation
SupportWrite PEMDAS/BODMAS at the top of the page. Have them check off each letter as they look for it.
ChallengeCreate equations that equal 0 or 1 using 4 numbers and any operations.
Discussion Questions
- Why is operation order crucial in math?
- What if parentheses were removed?
- How does left-to-right apply?
- Create an expression for a peer to solve.
Extension Activities
- Create your own problems.
- Use different operations.
- Add more numbers.
Parent Tip
Ask your child to explain the steps they took to solve a problem.
Learning Path
Skill Cluster
Number Sense and Operations
Estimated Time
25 minutes
Skills Practiced
Full order of operations