Examples of order of operations problems (PEMDAS)

📚 Quick Study Guide

• 🔑 PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
• 🔢 Always perform operations inside parentheses first.
• ⚡️Next, evaluate any exponents.
• ✖️ Then, do multiplication and division from left to right.
• ➕ Finally, do addition and subtraction from left to right.
• 📝 Remember: Multiplication and Division, as well as Addition and Subtraction, have the same priority and are done from left to right.
• 💡 Use PEMDAS as a checklist to solve expressions correctly!

🧮 Practice Quiz

1. What is the first step in solving the expression $2 + 3 \times (6 - 4)^2$ according to the order of operations?
1. A) Addition
2. B) Multiplication
3. C) Subtraction
4. D) Exponent


2. Solve: $10 - 2 \times 3 + 4$
1. A) 18
2. B) 8
3. C) 12
4. D) 4


3. Simplify: $12 \div 4 + 2 \times (5 - 3)$
1. A) 7
2. B) 10
3. C) 14
4. D) 2


4. Evaluate: $3^2 + (16 \div 2) - 5$
1. A) 12
2. B) 16
3. C) 8
4. D) 22


5. Calculate: $20 - (3 + 2) \times 2 + 1$
1. A) 21
2. B) 11
3. C) 31
4. D) 1


6. What is the value of $5 \times (4 + 2) \div 3 - 1$?
1. A) 11
2. B) 9
3. C) 3
4. D) 29


7. Find the result of: $48 \div (2 \times (3 + 5)) - 1$
1. A) 2
2. B) 3
3. C) 4
4. D) 5