Grade 5 Order of Operations Worksheets | Free Worksheets | Printables - 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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1. $ 9 \times 8 + 7 \times 6 + 3^2 $

- Exponent: $ 3^2 = 9 $
- Multiplications:
- $ 9 \times 8 = 72 $
- $ 7 \times 6 = 42 $
- Now add: $ 72 + 42 + 9 = 123 $

✔ Answer: 123

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2. $ 5 \times 2(6 + 6) + 4 \times 8 $

- Parentheses: $ 6 + 6 = 12 $
- So: $ 5 \times 2 \times 12 + 4 \times 8 $
- Multiplications from left to right:
- $ 5 \times 2 = 10 $
- $ 10 \times 12 = 120 $
- $ 4 \times 8 = 32 $
- Add: $ 120 + 32 = 152 $

✔ Answer: 152

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3. $ 9^2 \times 2 + 2 \times 9 $

- Exponent: $ 9^2 = 81 $
- Multiplications:
- $ 81 \times 2 = 162 $
- $ 2 \times 9 = 18 $
- Add: $ 162 + 18 = 180 $

✔ Answer: 180

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4. $ 8 \times 8 + 7 \times 7 + 4^2 $

- Exponent: $ 4^2 = 16 $
- Multiplications:
- $ 8 \times 8 = 64 $
- $ 7 \times 7 = 49 $
- Add: $ 64 + 49 + 16 = 129 $

✔ Answer: 129

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5. $ 81 \div 9 \times 7 \div 7 $

- Division and multiplication from left to right:
- $ 81 \div 9 = 9 $
- $ 9 \times 7 = 63 $
- $ 63 \div 7 = 9 $

✔ Answer: 9

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6. $ 5^2 \times 5 \times 2 $

- Exponent: $ 5^2 = 25 $
- Multiplications:
- $ 25 \times 5 = 125 $
- $ 125 \times 2 = 250 $

✔ Answer: 250

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7. $ 54 \div 9 + 8 \times 5 $

- Division: $ 54 \div 9 = 6 $
- Multiplication: $ 8 \times 5 = 40 $
- Add: $ 6 + 40 = 46 $

✔ Answer: 46

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8. $ 5(5 \times 4) + 3(4 \times 2) $

- Parentheses:
- $ 5 \times 4 = 20 $
- $ 4 \times 2 = 8 $
- Multiply:
- $ 5 \times 20 = 100 $
- $ 3 \times 8 = 24 $
- Add: $ 100 + 24 = 124 $

✔ Answer: 124

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9. $ 18(5 - 3) \times 2 + 7^2 $

- Parentheses: $ 5 - 3 = 2 $
- Exponent: $ 7^2 = 49 $
- Multiplication:
- $ 18 \times 2 = 36 $
- $ 36 \times 2 = 72 $
- Add: $ 72 + 49 = 121 $

✔ Answer: 121

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10. $ 5 \times 5 + 6 \times 6 $

- Multiplications:
- $ 5 \times 5 = 25 $
- $ 6 \times 6 = 36 $
- Add: $ 25 + 36 = 61 $

✔ Answer: 61

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✔ Final Answers:

1. 123
2. 152
3. 180
4. 129
5. 9
6. 250
7. 46
8. 124
9. 121
10. 61

Let me know if you'd like a printable version or explanation for any specific problem!