Using Order of Operations Worksheet Download - Free Printable

Sure! Let’s solve each expression step by step using the Order of Operations (PEMDAS/BODMAS):

> Parentheses → Exponents → Multiplication and Division (left to right) → Addition and Subtraction (left to right)

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1) (9 × 9) + 7 + 54 ÷ 9

- Parentheses: `9 × 9 = 81`
- Division: `54 ÷ 9 = 6`
- Now: `81 + 7 + 6`
- Add left to right: `81 + 7 = 88`, then `88 + 6 = 94`

✔ Answer: 94

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2) 10(15 ÷ 5 + 6) + 9

- Inside parentheses: `15 ÷ 5 = 3`, then `3 + 6 = 9`
- Now: `10 × 9 + 9` → Multiplication first: `10 × 9 = 90`
- Then: `90 + 9 = 99`

✔ Answer: 99

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3) (8 + 20 ÷ 10) + 36 ÷ 4 + 3

- Inside parentheses: `20 ÷ 10 = 2`, so `8 + 2 = 10`
- Division: `36 ÷ 4 = 9`
- Now: `10 + 9 + 3 = 22`

✔ Answer: 22

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4) 6 × 3(10 + 8)

- Parentheses: `10 + 8 = 18`
- Now: `6 × 3 × 18`
- Left to right: `6 × 3 = 18`, then `18 × 18 = 324`

✔ Answer: 324

*(Note: Some might misread this as 6 × 3(18) meaning 6 × (3×18), which is correct — same result.)*

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5) 9 + 15 - 8(5 + 13 - 9)

- Inside parentheses: `5 + 13 = 18`, then `18 - 9 = 9`
- Multiply: `8 × 9 = 72`
- Now: `9 + 15 - 72`
- Left to right: `9 + 15 = 24`, then `24 - 72 = -48`

✔ Answer: -48

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6) 6(28 ÷ 7 + 14 ÷ 7) + 8

- Inside parentheses:
- `28 ÷ 7 = 4`
- `14 ÷ 7 = 2`
- So `4 + 2 = 6`
- Multiply: `6 × 6 = 36`
- Add: `36 + 8 = 44`

✔ Answer: 44

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7) 7(5 × 2) + 8

- Parentheses: `5 × 2 = 10`
- Multiply: `7 × 10 = 70`
- Add: `70 + 8 = 78`

✔ Answer: 78

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8) 4(6 - 5 + 4) × 9

- Inside parentheses: `6 - 5 = 1`, then `1 + 4 = 5`
- Now: `4 × 5 × 9`
- Left to right: `4 × 5 = 20`, then `20 × 9 = 180`

✔ Answer: 180

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9) 5 + 10(8 + 21 ÷ 3)

- Inside parentheses: `21 ÷ 3 = 7`, then `8 + 7 = 15`
- Multiply: `10 × 15 = 150`
- Add: `5 + 150 = 155`

✔ Answer: 155

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10) (6 + 8) + 9 × 7

- Parentheses: `6 + 8 = 14`
- Multiplication: `9 × 7 = 63`
- Add: `14 + 63 = 77`

✔ Answer: 77

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## ✔ Final Answers:

1. 94
2. 99
3. 22
4. 324
5. -48
6. 44
7. 78
8. 180
9. 155
10. 77

Let me know if you’d like a printable version or explanation for any specific problem!