Order of Operation - Worksheet Digital - Free Printable

Let's solve each problem step by step using the BODMAS (or PEMDAS) rule:

BODMAS Rule:

- Brackets
- Orders (i.e., powers and roots, etc.)
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)

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1. $ 22 \times (3 + 2) $

- First: $ 3 + 2 = 5 $
- Then: $ 22 \times 5 = 110 $

✔ Answer: 110

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2. $ 22 - 4 \times 2 $

- First: $ 4 \times 2 = 8 $
- Then: $ 22 - 8 = 14 $

✔ Answer: 14

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3. $ 25 + 6 \div 2 $

- First: $ 6 \div 2 = 3 $
- Then: $ 25 + 3 = 28 $

✔ Answer: 28

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4. $ 20 \times (6 \div 2) $

- First: $ 6 \div 2 = 3 $
- Then: $ 20 \times 3 = 60 $

✔ Answer: 60

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5. $ 55 - 3 \times 15 $

- First: $ 3 \times 15 = 45 $
- Then: $ 55 - 45 = 10 $

✔ Answer: 10

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6. $ 70 \times (4 - 2) $

- First: $ 4 - 2 = 2 $
- Then: $ 70 \times 2 = 140 $

✔ Answer: 140

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7. $ 23 + 6 \div 2 $

- First: $ 6 \div 2 = 3 $
- Then: $ 23 + 3 = 26 $

✔ Answer: 26

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8. $ 10 + 9 \div 3 $

- First: $ 9 \div 3 = 3 $
- Then: $ 10 + 3 = 13 $

✔ Answer: 13

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9. $ (11 + 13) \div 2 $

- First: $ 11 + 13 = 24 $
- Then: $ 24 \div 2 = 12 $

✔ Answer: 12

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10. $ 10 \div 2 \times 3 $

- Division and multiplication from left to right:
- $ 10 \div 2 = 5 $
- $ 5 \times 3 = 15 $

✔ Answer: 15

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11. $ 17 \times (9 \div 2) $

- First: $ 9 \div 2 = 4.5 $
- Then: $ 17 \times 4.5 = 76.5 $

✔ Answer: 76.5

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12. $ 67 + 4 \times 2 $

- First: $ 4 \times 2 = 8 $
- Then: $ 67 + 8 = 75 $

✔ Answer: 75

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13. $ 17 + 4 - 13 $

- Addition and subtraction from left to right:
- $ 17 + 4 = 21 $
- $ 21 - 13 = 8 $

✔ Answer: 8

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14. $ 36 \div (4 + 2) $

- First: $ 4 + 2 = 6 $
- Then: $ 36 \div 6 = 6 $

✔ Answer: 6

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15. $ 10 \times 9 - 22 $

- First: $ 10 \times 9 = 90 $
- Then: $ 90 - 22 = 68 $

✔ Answer: 68

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16. $ 12 \times 3 + 10 $

- First: $ 12 \times 3 = 36 $
- Then: $ 36 + 10 = 46 $

✔ Answer: 46

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17. $ 24 \div (8 + 2) $

- First: $ 8 + 2 = 10 $
- Then: $ 24 \div 10 = 2.4 $

✔ Answer: 2.4

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18. $ 15 \times (12 + 7) $

- First: $ 12 + 7 = 19 $
- Then: $ 15 \times 19 = 285 $

✔ Answer: 285

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19. $ 27 \div 3 - 2 $

- First: $ 27 \div 3 = 9 $
- Then: $ 9 - 2 = 7 $

✔ Answer: 7

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20. $ 14 \times (8 \div 16) $

- First: $ 8 \div 16 = 0.5 $
- Then: $ 14 \times 0.5 = 7 $

✔ Answer: 7

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $ 22 \times (3 + 2) $ | 110 |
| 2. $ 22 - 4 \times 2 $ | 14 |
| 3. $ 25 + 6 \div 2 $ | 28 |
| 4. $ 20 \times (6 \div 2) $ | 60 |
| 5. $ 55 - 3 \times 15 $ | 10 |
| 6. $ 70 \times (4 - 2) $ | 140 |
| 7. $ 23 + 6 \div 2 $ | 26 |
| 8. $ 10 + 9 \div 3 $ | 13 |
| 9. $ (11 + 13) \div 2 $ | 12 |
|10. $ 10 \div 2 \times 3 $ | 15 |
|11. $ 17 \times (9 \div 2) $ | 76.5 |
|12. $ 67 + 4 \times 2 $ | 75 |
|13. $ 17 + 4 - 13 $ | 8 |
|14. $ 36 \div (4 + 2) $ | 6 |
|15. $ 10 \times 9 - 22 $ | 68 |
|16. $ 12 \times 3 + 10 $ | 46 |
|17. $ 24 \div (8 + 2) $ | 2.4 |
|18. $ 15 \times (12 + 7) $ | 285 |
|19. $ 27 \div 3 - 2 $ | 7 |
|20. $ 14 \times (8 \div 16) $ | 7 |

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🔍 Key Takeaways:

- Always follow BODMAS/PEMDAS:
- Do brackets first.
- Then division and multiplication from left to right.
- Then addition and subtraction from left to right.
- Be careful with order of operations — especially when multiple operations are at the same level.

Let me know if you'd like this as a printable PDF or formatted worksheet!