Order of operations online activity for GRADE 6 - Free Printable

Let's solve each problem step by step using the GEMDAS rule (Grouping, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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1. $ 90 \div (3 \times 3) - 3^2 $

- First: Grouping → $ 3 \times 3 = 9 $
- Then: Exponent → $ 3^2 = 9 $
- Now: $ 90 \div 9 - 9 $
- Division: $ 90 \div 9 = 10 $
- Subtraction: $ 10 - 9 = 1 $

✔ Answer: 1

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2. $ 8 \times 4 \div 2 + (15 \div 5) - 4^2 $

- Grouping: $ 15 \div 5 = 3 $
- Exponent: $ 4^2 = 16 $
- Now: $ 8 \times 4 \div 2 + 3 - 16 $
- Multiplication/Division (left to right):
- $ 8 \times 4 = 32 $
- $ 32 \div 2 = 16 $
- Now: $ 16 + 3 - 16 $
- Addition/Subtraction (left to right):
- $ 16 + 3 = 19 $
- $ 19 - 16 = 3 $

✔ Answer: 3

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3. $ \{(15 - 3 \times 3) - (18 \div 9)\} + 10^2 $

- Inside first grouping:
- $ 3 \times 3 = 9 $
- $ 15 - 9 = 6 $
- Second grouping: $ 18 \div 9 = 2 $
- Now: $ (6 - 2) + 10^2 $
- $ 6 - 2 = 4 $
- $ 10^2 = 100 $
- $ 4 + 100 = 104 $

✔ Answer: 104

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4. $ 100 - 45 \div 3 \times 3^2 + 56 $

- Exponent: $ 3^2 = 9 $
- Now: $ 100 - 45 \div 3 \times 9 + 56 $
- Division/Multiplication (left to right):
- $ 45 \div 3 = 15 $
- $ 15 \times 9 = 135 $
- Now: $ 100 - 135 + 56 $
- Addition/Subtraction (left to right):
- $ 100 - 135 = -35 $
- $ -35 + 56 = 21 $

✔ Answer: 21

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5. $ 6^2 \div 3 \times 4 - 28 + (7 + 3) $

- Exponent: $ 6^2 = 36 $
- Grouping: $ 7 + 3 = 10 $
- Now: $ 36 \div 3 \times 4 - 28 + 10 $
- Division/Multiplication (left to right):
- $ 36 \div 3 = 12 $
- $ 12 \times 4 = 48 $
- Now: $ 48 - 28 + 10 $
- Left to right:
- $ 48 - 28 = 20 $
- $ 20 + 10 = 30 $

✔ Answer: 30

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6. $ 60 \div (5 \times 2) + 4^3 $

- Grouping: $ 5 \times 2 = 10 $
- Exponent: $ 4^3 = 64 $
- Now: $ 60 \div 10 + 64 $
- $ 60 \div 10 = 6 $
- $ 6 + 64 = 70 $

✔ Answer: 70

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7. $ 120 \div 12 \times 5 \div 2 - 4 $

- All operations are division and multiplication — do left to right:
- $ 120 \div 12 = 10 $
- $ 10 \times 5 = 50 $
- $ 50 \div 2 = 25 $
- $ 25 - 4 = 21 $

✔ Answer: 21

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8. $ 95 - 24 \div (8 \times 3) + 2^4 $

- Grouping: $ 8 \times 3 = 24 $
- Exponent: $ 2^4 = 16 $
- Now: $ 95 - 24 \div 24 + 16 $
- $ 24 \div 24 = 1 $
- Now: $ 95 - 1 + 16 $
- Left to right:
- $ 95 - 1 = 94 $
- $ 94 + 16 = 110 $

✔ Answer: 110

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9. $ 9 \times 12 \div 3 + 5 - 15 $

- Multiplication/Division left to right:
- $ 9 \times 12 = 108 $
- $ 108 \div 3 = 36 $
- Now: $ 36 + 5 - 15 $
- $ 36 + 5 = 41 $
- $ 41 - 15 = 26 $

✔ Answer: 26

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10. $ (36 \div 9 + 14) \div 9 + 12 - 10 $

- Grouping: $ 36 \div 9 = 4 $
- $ 4 + 14 = 18 $
- So: $ 18 \div 9 + 12 - 10 $
- $ 18 \div 9 = 2 $
- Now: $ 2 + 12 - 10 $
- $ 2 + 12 = 14 $
- $ 14 - 10 = 4 $

✔ Answer: 4

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 1 |
| 2 | 3 |
| 3 | 104 |
| 4 | 21 |
| 5 | 30 |
| 6 | 70 |
| 7 | 21 |
| 8 | 110 |
| 9 | 26 |
| 10 | 4 |

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🔍 Summary of GEMDAS Steps:

- G: Grouping (parentheses, brackets)
- E: Exponents
- M/D: Multiplication and Division (left to right)
- A/S: Addition and Subtraction (left to right)

Always follow this order to avoid mistakes!

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