What is The Order of Operations? | Explained | Free Worksheets - 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)

We’ll go through each equation one at a time.

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1. $ 22 + 8 \times 10 $

- First, do multiplication: $ 8 \times 10 = 80 $
- Then addition: $ 22 + 80 = 102 $

✔ Answer: 102

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2. $ 25 - 4 \times 3 + 22 $

- Multiplication first: $ 4 \times 3 = 12 $
- Now: $ 25 - 12 + 22 $
- Left to right: $ 25 - 12 = 13 $, then $ 13 + 22 = 35 $

✔ Answer: 35

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3. $ 28 \div 7 + 8 \times 5 $

- Division: $ 28 \div 7 = 4 $
- Multiplication: $ 8 \times 5 = 40 $
- Now: $ 4 + 40 = 44 $

✔ Answer: 44

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4. $ 16 \times 2 + 30 \div 6 $

- Multiplication: $ 16 \times 2 = 32 $
- Division: $ 30 \div 6 = 5 $
- Now: $ 32 + 5 = 37 $

✔ Answer: 37

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5. $ 82 + 6 \times 3 + 20 $

- Multiplication: $ 6 \times 3 = 18 $
- Now: $ 82 + 18 + 20 $
- Left to right: $ 82 + 18 = 100 $, $ 100 + 20 = 120 $

✔ Answer: 120

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6. $ 36 \div 6 \times 7 $

- Division first: $ 36 \div 6 = 6 $
- Then multiplication: $ 6 \times 7 = 42 $

✔ Answer: 42

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7. $ 42 + 9 \times 4 + 10 $

- Multiplication: $ 9 \times 4 = 36 $
- Now: $ 42 + 36 + 10 $
- $ 42 + 36 = 78 $, $ 78 + 10 = 88 $

✔ Answer: 88

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8. $ 5 \times 5 + 8 \times 3 $

- Multiplications: $ 5 \times 5 = 25 $, $ 8 \times 3 = 24 $
- Now: $ 25 + 24 = 49 $

✔ Answer: 49

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9. $ 55 \div 11 + 7 \times 6 $

- Division: $ 55 \div 11 = 5 $
- Multiplication: $ 7 \times 6 = 42 $
- Now: $ 5 + 42 = 47 $

✔ Answer: 47

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10. $ 17 + 8 \times 3 $

- Multiplication: $ 8 \times 3 = 24 $
- Addition: $ 17 + 24 = 41 $

✔ Answer: 41

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✔ Final Answers:

1. 102
2. 35
3. 44
4. 37
5. 120
6. 42
7. 88
8. 49
9. 47
10. 41

Let me know if you'd like this formatted as a printable answer key!