Order of Operations exercise for 3 - Free Printable

Let's solve each expression using the Order of Operations (PEMDAS):

PEMDAS stands for:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

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1. $ 10 + 5 \times (9 - 4) $

- First: Parentheses → $ 9 - 4 = 5 $
- Then: Multiplication → $ 5 \times 5 = 25 $
- Then: Addition → $ 10 + 25 = 35 $

✔ Answer: 35

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2. $ (9 - 6 + 5) \div 2 $

- First: Parentheses → $ 9 - 6 = 3 $, then $ 3 + 5 = 8 $
- Then: Division → $ 8 \div 2 = 4 $

✔ Answer: 4

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3. $ (8 + 3 - 6) \div 5 $

- First: Parentheses → $ 8 + 3 = 11 $, then $ 11 - 6 = 5 $
- Then: Division → $ 5 \div 5 = 1 $

✔ Answer: 1

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4. $ 10 \times 7 + 3 - 4 $

- First: Multiplication → $ 10 \times 7 = 70 $
- Then: Left to right addition/subtraction:
- $ 70 + 3 = 73 $
- $ 73 - 4 = 69 $

✔ Answer: 69

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5. $ 10 \times (6 + 3) \div 2 $

- First: Parentheses → $ 6 + 3 = 9 $
- Then: Multiplication → $ 10 \times 9 = 90 $
- Then: Division → $ 90 \div 2 = 45 $

✔ Answer: 45

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6. $ 8 \times 2 + 5 - 6 $

- First: Multiplication → $ 8 \times 2 = 16 $
- Then: Left to right:
- $ 16 + 5 = 21 $
- $ 21 - 6 = 15 $

✔ Answer: 15

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7. $ 8 + 7 \times (4 - 3) $

- First: Parentheses → $ 4 - 3 = 1 $
- Then: Multiplication → $ 7 \times 1 = 7 $
- Then: Addition → $ 8 + 7 = 15 $

✔ Answer: 15

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8. $ 6 + 3 - 4 \div 2 $

- First: Division → $ 4 \div 2 = 2 $
- Then: Left to right:
- $ 6 + 3 = 9 $
- $ 9 - 2 = 7 $

✔ Answer: 7

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9. $ 8 \times 5 - 4 + 7 $

- First: Multiplication → $ 8 \times 5 = 40 $
- Then: Left to right:
- $ 40 - 4 = 36 $
- $ 36 + 7 = 43 $

✔ Answer: 43

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10. $ 4 \times 6 \div (10 + 2) $

- First: Parentheses → $ 10 + 2 = 12 $
- Then: Multiplication and Division from left to right:
- $ 4 \times 6 = 24 $
- $ 24 \div 12 = 2 $

✔ Answer: 2

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✔ Final Answers:

1. $ 10 + 5 \times (9 - 4) = 35 $
2. $ (9 - 6 + 5) \div 2 = 4 $
3. $ (8 + 3 - 6) \div 5 = 1 $
4. $ 10 \times 7 + 3 - 4 = 69 $
5. $ 10 \times (6 + 3) \div 2 = 45 $
6. $ 8 \times 2 + 5 - 6 = 15 $
7. $ 8 + 7 \times (4 - 3) = 15 $
8. $ 6 + 3 - 4 \div 2 = 7 $
9. $ 8 \times 5 - 4 + 7 = 43 $
10. $ 4 \times 6 \div (10 + 2) = 2 $

Let me know if you'd like these explained step-by-step in a table or worksheet format!