Order of Operations Worksheets - Math Monks - Free Printable

Let’s solve each problem one by one, following the order of operations:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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Problem 1:
3 × (10 × 2) ÷ 5
→ First, inside parentheses: 10 × 2 = 20
→ Now: 3 × 20 ÷ 5
→ Multiply left to right: 3 × 20 = 60
→ Then divide: 60 ÷ 5 = 12

✔ Matches given answer.

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Problem 2:
8 + 3 + 3 × 6
→ Multiplication first: 3 × 6 = 18
→ Now: 8 + 3 + 18
→ Add left to right: 8 + 3 = 11; 11 + 18 = 29

✔ Matches given answer.

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Problem 3:
5 × 10 – (6 – 3)
→ Parentheses first: 6 – 3 = 3
→ Now: 5 × 10 – 3
→ Multiply: 5 × 10 = 50
→ Subtract: 50 – 3 = 47

✔ Matches given answer.

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Problem 4:
12 ÷ (6 + 4 – 8)
→ Inside parentheses: 6 + 4 = 10; 10 – 8 = 2
→ Now: 12 ÷ 2 = 6

✔ Matches given answer.

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Problem 5:
4 + (3 – 3)²
→ Parentheses: 3 – 3 = 0
→ Exponent: 0² = 0
→ Add: 4 + 0 = 4

✔ Matches given answer.

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Problem 6:
(15 – 9) ÷ (9 – 3)
→ Left parentheses: 15 – 9 = 6
→ Right parentheses: 9 – 3 = 6
→ Divide: 6 ÷ 6 = 1

✔ Matches given answer.

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Problem 7:
(4² – 2) × 7
→ Exponent: 4² = 16
→ Inside parentheses: 16 – 2 = 14
→ Multiply: 14 × 7 = 98

✔ Matches given answer.

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Problem 8:
8 × 14 ÷ (6 – 4)
→ Parentheses: 6 – 4 = 2
→ Now: 8 × 14 ÷ 2
→ Left to right: 8 × 14 = 112; 112 ÷ 2 = 56

✔ Matches given answer.

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Problem 9:
8 × (5 × 3 – 9)
→ Inside parentheses: 5 × 3 = 15; 15 – 9 = 6
→ Multiply: 8 × 6 = 48

✔ Matches given answer.

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Problem 10:
30 ÷ (8 – (7 – 4))
→ Innermost parentheses: 7 – 4 = 3
→ Next: 8 – 3 = 5
→ Divide: 30 ÷ 5 = 6

✔ Matches given answer.

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Problem 11:
10 ÷ ((8 – 7) × 2)
→ Inner parentheses: 8 – 7 = 1
→ Multiply: 1 × 2 = 2
→ Divide: 10 ÷ 2 = 5

✔ Matches given answer.

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Problem 12:
(16 × 2) ÷ (9 – 5)
→ Left: 16 × 2 = 32
→ Right: 9 – 5 = 4
→ Divide: 32 ÷ 4 = 8

✔ Matches given answer.

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Problem 13:
10 – 12 ÷ 4 – 4
→ Division first: 12 ÷ 4 = 3
→ Now: 10 – 3 – 4
→ Left to right: 10 – 3 = 7; 7 – 4 = 3

✔ Matches given answer.

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Problem 14:
3 + 30 ÷ 10 × 2
→ Division and multiplication left to right:
30 ÷ 10 = 3; then 3 × 2 = 6
→ Add: 3 + 6 = 9

✔ Matches given answer.

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Problem 15:
2 × (5 × 8 – 2)
→ Inside parentheses: 5 × 8 = 40; 40 – 2 = 38
→ Multiply: 2 × 38 = 76

✔ Matches given answer.

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Problem 16:
30 ÷ (3 + 2) × 8
→ Parentheses: 3 + 2 = 5
→ Now: 30 ÷ 5 × 8
→ Left to right: 30 ÷ 5 = 6; 6 × 8 = 48

✔ Matches given answer.

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Problem 17:
(1 + 5)(8 – 7)
→ This means multiply two groups: (1+5) × (8–7)
→ 1 + 5 = 6; 8 – 7 = 1
→ Multiply: 6 × 1 = 6

✔ Matches given answer.

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Problem 18:
(20 – 10) ÷ (1 + 4)
→ Left: 20 – 10 = 10
→ Right: 1 + 4 = 5
→ Divide: 10 ÷ 5 = 2

✔ Matches given answer.

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Problem 19:
(3 + 4 + 9) × 2
→ Inside parentheses: 3 + 4 = 7; 7 + 9 = 16
→ Multiply: 16 × 2 = 32

✔ Matches given answer.

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Problem 20:
8 ÷ (4² – 8)
→ Exponent: 4² = 16
→ Inside parentheses: 16 – 8 = 8
→ Divide: 8 ÷ 8 = 1

✔ Matches given answer.

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All problems have been solved correctly using the order of operations. The answers provided in the worksheet are all correct.

Final Answer:
All answers on the worksheet are correct as shown:
12, 29, 47, 6, 4, 1, 98, 56, 48, 6, 5, 8, 3, 9, 76, 48, 6, 2, 32, 1