Order of Operations Worksheets -Worksheets Library - Free Printable

Let's solve each problem step by step using the order of operations, often remembered by the acronym PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

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Problem 1:

(14 + 7 + 9) × 12 =

First, add inside parentheses:
14 + 7 + 9 = 30
Then multiply:
30 × 12 = 360

✔ Answer: 360

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Problem 2:

(7² × 7) × 7 =

First, evaluate exponent:
7² = 49
Now: (49 × 7) × 7
= 343 × 7 = 2401

✔ Answer: 2401

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Problem 3:

15 + 18 × (7 + 3²) =

Start with inner parentheses:
3² = 9
So: 7 + 9 = 16
Now: 15 + 18 × 16
Multiplication first: 18 × 16 = 288
Then addition: 15 + 288 = 303

✔ Answer: 303

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Problem 4:

(7 × 9) ÷ 7 + 8 =

Parentheses: 7 × 9 = 63
Now: 63 ÷ 7 + 8
Division: 63 ÷ 7 = 9
Then addition: 9 + 8 = 17

✔ Answer: 17

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Problem 5:

45 ÷ 9 + (15 × 2²) =

Exponent: 2² = 4
Then: 15 × 4 = 60
Now: 45 ÷ 9 + 60
Division: 45 ÷ 9 = 5
Addition: 5 + 60 = 65

✔ Answer: 65

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Problem 6:

68 ÷ (4² + 1) =

Exponent: 4² = 16
Then: 16 + 1 = 17
Now: 68 ÷ 17 = 4

✔ Answer: 4

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Problem 7:

(30 × 5 + 3) ÷ 3 =

Parentheses first:
30 × 5 = 150
Then: 150 + 3 = 153
Now divide: 153 ÷ 3 = 51

✔ Answer: 51

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Problem 8:

60 ÷ 10 × (17 + 24) =

Parentheses: 17 + 24 = 41
Now: 60 ÷ 10 × 41
Left to right:
60 ÷ 10 = 6
Then: 6 × 41 = 246

✔ Answer: 246

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Problem 9:

3³ + (3 + 8) =

Exponent: 3³ = 27
Parentheses: 3 + 8 = 11
Add: 27 + 11 = 38

✔ Answer: 38

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Problem 10:

(4 + 3 + 3) =

Just add: 4 + 3 + 3 = 10

✔ Answer: 10

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Problem 11:

6 + (6 + 6²) × 2 =

Exponent: 6² = 36
Parentheses: 6 + 36 = 42
Now: 6 + 42 × 2
Multiplication first: 42 × 2 = 84
Then: 6 + 84 = 90

✔ Answer: 90

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Problem 12:

(6 + 3 × 5) + 4² =

Inside parentheses:
3 × 5 = 15
Then: 6 + 15 = 21
Now: 4² = 16
Then: 21 + 16 = 37

✔ Answer: 37

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| (14 + 7 + 9) × 12 | 360 |
| (7² × 7) × 7 | 2401 |
| 15 + 18 × (7 + 3²) | 303 |
| (7 × 9) ÷ 7 + 8 | 17 |
| 45 ÷ 9 + (15 × 2²) | 65 |
| 68 ÷ (4² + 1) | 4 |
| (30 × 5 + 3) ÷ 3 | 51 |
| 60 ÷ 10 × (17 + 24) | 246 |
| 3³ + (3 + 8) | 38 |
| (4 + 3 + 3) | 10 |
| 6 + (6 + 6²) × 2 | 90 |
| (6 + 3 × 5) + 4² | 37 |

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