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Order of Operations Practice

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Order of Operations Practice worksheet preview

Order of Operations Practice

Math symbols and calculator illustration

🎯 Learning Goals

I can...

  • Apply the order of operations (PEMDAS) to solve expressions correctly
  • Explain why following the correct order is important
  • Show my step-by-step work clearly

Remember PEMDAS: Brackets, Exponents, Multiply/Divide (left to right), Add/Subtract (left to right)

📚 Part 1: Basic Practice

1. Solve: 8 + 6 × 3
2. Solve: (5 + 3) × 4
3. Solve: 20 - 12 ÷ 3
4. Which operation should you do FIRST in the expression 15 + 4 × 2?

Addition (15 + 4)

Multiplication (4 × 2)

Either one is fine

🔥 Part 2: Intermediate Challenge

5. Solve: 3² + (8 - 5) × 4
6. Solve: (6 + 2) × 3² - 10 ÷ 5
7. Find the error in this solution and explain what went wrong:

Problem: 4 + 3 × 2 = 14

Student's work: 4 + 3 = 7, then 7 × 2 = 14

8. Create your own expression using brackets, an exponent, and at least two different operations. Then solve it.

My expression: _________________________

⭐ Part 3: Advanced Problem Solving

9. Challenge: Solve (4 + 2)² ÷ 3 + 5 × (7 - 5)
10. Real-world connection: A school cafeteria charges $3 for lunch plus $2 for each extra item. If 5 students each buy lunch with 2 extra items, write an expression to find the total cost and solve it.

Expression: _________________________

11. Reflection: Explain in your own words why it's important for everyone to follow the same order of operations.

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