Printable Order of Operation Worksheets - Free Printable

Since I can’t view or process images, I’ll solve the Order of Operations Worksheet #2 based on the text you provided — which lists 20 problems following standard PEMDAS/BODMAS rules:

> PEMDAS: Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right)

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Let’s solve each problem step by step.

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1. (3 + 2 – 3) + 9

Inside parentheses:
3 + 2 = 5 → 5 – 3 = 2
Then: 2 + 9 = 11

✔ Answer: 11

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2. (5 ÷ 6) × (6 × 6) ÷ 3

First, parentheses:
5 ÷ 6 = 5/6
6 × 6 = 36
Now: (5/6) × 36 ÷ 3
→ (5/6) × 36 = 30
→ 30 ÷ 3 = 10

✔ Answer: 10

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3. 6 + (8 ÷ 4 – 3) – 4

Inside parentheses:
8 ÷ 4 = 2 → 2 – 3 = -1
Now: 6 + (-1) – 4 = 6 – 1 – 4 = 1

✔ Answer: 1

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4. (2 + 4 × 1)

Multiplication first: 4 × 1 = 4
Then: 2 + 4 = 6

✔ Answer: 6

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5. (3 – 1) ÷ 1

3 – 1 = 2 → 2 ÷ 1 = 2

✔ Answer: 2

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6. (9 + 8 ÷ 3)

Division first: 8 ÷ 3 ≈ 2.666...
Then: 9 + 2.666... = 11.666... or 35/3

But since this is likely for elementary/middle school, let’s keep as fraction:
8 ÷ 3 = 8/3 → 9 = 27/3 → 27/3 + 8/3 = 35/3

✔ Answer: 35/3 or 11 2/3

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7. (4 + 6 × 5 × 7)

Multiplication left to right:
6 × 5 = 30 → 30 × 7 = 210
Then: 4 + 210 = 214

✔ Answer: 214

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8. 7 – 2 + (7 × 9) + 8

Parentheses: 7 × 9 = 63
Now: 7 – 2 + 63 + 8
Left to right: 7 – 2 = 5 → 5 + 63 = 68 → 68 + 8 = 76

✔ Answer: 76

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9. (7 × 9) × 3

7 × 9 = 63 → 63 × 3 = 189

✔ Answer: 189

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10. (1 × 6) + 8 – 5 ÷ 9

Parentheses: 1 × 6 = 6
Division: 5 ÷ 9 = 5/9
Now: 6 + 8 – 5/9 = 14 – 5/9 = 13 4/9

✔ Answer: 13 4/9 or 121/9

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11. 7 + 5 × (4 × 8 – 9)

Inside inner parentheses: 4 × 8 = 32 → 32 – 9 = 23
Now: 5 × 23 = 115
Then: 7 + 115 = 122

✔ Answer: 122

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12. (2 – 4 + 3 × 5) ÷ 3

Inside parentheses:
Multiplication first: 3 × 5 = 15
Then: 2 – 4 = -2 → -2 + 15 = 13
Then: 13 ÷ 3 = 13/3 or 4 1/3

✔ Answer: 13/3

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13. 6 + 6 ÷ (4 – 7 + 3)

Inside parentheses: 4 – 7 = -3 → -3 + 3 = 0
Division by zero → Undefined

⚠️ Answer: Undefined (division by zero)

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14. (3 + 8 ÷ 8 + 1) ÷ 7

Inside parentheses:
8 ÷ 8 = 1
Then: 3 + 1 + 1 = 5
Then: 5 ÷ 7 = 5/7

✔ Answer: 5/7

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15. (4 – 1 × 6 × 9)

Multiplication first: 1 × 6 = 6 → 6 × 9 = 54
Then: 4 – 54 = -50

✔ Answer: -50

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16. (2 × 7 + 4)

Multiplication first: 2 × 7 = 14
Then: 14 + 4 = 18

✔ Answer: 18

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17. 3 + (4 × 4) – 3 – 3

Parentheses: 4 × 4 = 16
Now: 3 + 16 – 3 – 3
Left to right: 3 + 16 = 19 → 19 – 3 = 16 → 16 – 3 = 13

✔ Answer: 13

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18. (2 + 1 + 3 ÷ 7) × 8

Inside parentheses:
Division first: 3 ÷ 7 = 3/7
Then: 2 + 1 = 3 → 3 + 3/7 = 24/7
Then: 24/7 × 8 = 192/7 or 27 3/7

✔ Answer: 192/7

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19. (9 + 1 × 1) + 8

Inside parentheses: 1 × 1 = 1 → 9 + 1 = 10
Then: 10 + 8 = 18

✔ Answer: 18

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20. (6 × 2) × (9 + 8 ÷ 6)

First parentheses: 6 × 2 = 12
Second parentheses: 8 ÷ 6 = 4/3 → 9 + 4/3 = 31/3
Now: 12 × 31/3 = (12/1) × (31/3) = (12×31)/(1×3) = 372/3 = 124

✔ Answer: 124

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## ✔ Final Answers Summary:

1. 11
2. 10
3. 1
4. 6
5. 2
6. 35/3
7. 214
8. 76
9. 189
10. 121/9 or 13 4/9
11. 122
12. 13/3
13. Undefined
14. 5/7
15. -50
16. 18
17. 13
18. 192/7
19. 18
20. 124

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📌 Note: For problems involving fractions or division by zero, answers are given in exact form. If your worksheet expects decimal approximations, let me know and I can adjust!

You can score it out of 20 — just count how many you got correct! 😊