Math Worksheets: Order of Operations or PEMDAS - Free Printable

Problem: Solve the given order of operations problems.

The worksheet contains 20 problems that require applying the order of operations (PEMDAS/BODMAS rules):
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve each problem step by step.

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Problem 1: \( 7 - (1 + 6) \)

- Solve inside the parentheses first: \( 1 + 6 = 7 \).
- Then subtract: \( 7 - 7 = 0 \).

Answer: \( 0 \)

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Problem 2: \( (3 + 8) + 8 \)

- Solve inside the parentheses first: \( 3 + 8 = 11 \).
- Then add: \( 11 + 8 = 19 \).

Answer: \( 19 \)

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Problem 3: \( 7 \times (4 + 2) \)

- Solve inside the parentheses first: \( 4 + 2 = 6 \).
- Then multiply: \( 7 \times 6 = 42 \).

Answer: \( 42 \)

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Problem 4: \( (2 \times 4) + 4 \)

- Solve inside the parentheses first: \( 2 \times 4 = 8 \).
- Then add: \( 8 + 4 = 12 \).

Answer: \( 12 \)

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Problem 5: \( (9 + 3 + 2) + 9 \times 6 \)

- Solve inside the parentheses first: \( 9 + 3 + 2 = 14 \).
- Then multiply: \( 9 \times 6 = 54 \).
- Finally, add: \( 14 + 54 = 68 \).

Answer: \( 68 \)

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Problem 6: \( 6 - (9 - 2) + 3 \times 6 \)

- Solve inside the parentheses first: \( 9 - 2 = 7 \).
- Then subtract: \( 6 - 7 = -1 \).
- Multiply: \( 3 \times 6 = 18 \).
- Finally, add: \( -1 + 18 = 17 \).

Answer: \( 17 \)

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Problem 7: \( (3 \times 5) + 6 \)

- Solve inside the parentheses first: \( 3 \times 5 = 15 \).
- Then add: \( 15 + 6 = 21 \).

Answer: \( 21 \)

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Problem 8: \( (8 + 3) - 7 \)

- Solve inside the parentheses first: \( 8 + 3 = 11 \).
- Then subtract: \( 11 - 7 = 4 \).

Answer: \( 4 \)

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Problem 9: \( (9 \times 3 + 9) + 9 \)

- Solve inside the parentheses:
- First, multiply: \( 9 \times 3 = 27 \).
- Then add: \( 27 + 9 = 36 \).
- Finally, add: \( 36 + 9 = 45 \).

Answer: \( 45 \)

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Problem 10: \( (3 + 7 - 3) \)

- Solve inside the parentheses:
- Add: \( 3 + 7 = 10 \).
- Subtract: \( 10 - 3 = 7 \).

Answer: \( 7 \)

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Problem 11: \( (5 - 6) \times 9 \)

- Solve inside the parentheses first: \( 5 - 6 = -1 \).
- Then multiply: \( -1 \times 9 = -9 \).

Answer: \( -9 \)

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Problem 12: \( (3 + 1) \times 2 \)

- Solve inside the parentheses first: \( 3 + 1 = 4 \).
- Then multiply: \( 4 \times 2 = 8 \).

Answer: \( 8 \)

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Problem 13: \( (3 - 3) - 7 \)

- Solve inside the parentheses first: \( 3 - 3 = 0 \).
- Then subtract: \( 0 - 7 = -7 \).

Answer: \( -7 \)

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Problem 14: \( (6 + 2) \times 4 \)

- Solve inside the parentheses first: \( 6 + 2 = 8 \).
- Then multiply: \( 8 \times 4 = 32 \).

Answer: \( 32 \)

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Problem 15: \( (1 \times 2 - 2 \times 3) \)

- Solve inside the parentheses:
- First, multiply: \( 1 \times 2 = 2 \) and \( 2 \times 3 = 6 \).
- Then subtract: \( 2 - 6 = -4 \).

Answer: \( -4 \)

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Problem 16: \( (6 + 7 - 6) \)

- Solve inside the parentheses:
- First, add: \( 6 + 7 = 13 \).
- Then subtract: \( 13 - 6 = 7 \).

Answer: \( 7 \)

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Problem 17: \( 2 + (7 - 1 - 4) \)

- Solve inside the parentheses:
- First, subtract: \( 7 - 1 = 6 \).
- Then subtract: \( 6 - 4 = 2 \).
- Finally, add: \( 2 + 2 = 4 \).

Answer: \( 4 \)

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Problem 18: \( (4 \times 6 \times 3) \)

- Solve inside the parentheses:
- First, multiply: \( 4 \times 6 = 24 \).
- Then multiply: \( 24 \times 3 = 72 \).

Answer: \( 72 \)

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Problem 19: \( (2 + 4) - 2 \)

- Solve inside the parentheses first: \( 2 + 4 = 6 \).
- Then subtract: \( 6 - 2 = 4 \).

Answer: \( 4 \)

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Problem 20: \( (5 \times 20) + 6 \)

- Solve inside the parentheses first: \( 5 \times 20 = 100 \).
- Then add: \( 100 + 6 = 106 \).

Answer: \( 106 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 0 \\
2. & 19 \\
3. & 42 \\
4. & 12 \\
5. & 68 \\
6. & 17 \\
7. & 21 \\
8. & 4 \\
9. & 45 \\
10. & 7 \\
11. & -9 \\
12. & 8 \\
13. & -7 \\
14. & 32 \\
15. & -4 \\
16. & 7 \\
17. & 4 \\
18. & 72 \\
19. & 4 \\
20. & 106 \\
\end{array}
}
\]