Order of Operations PEMDAS Practice Worksheets | Twinkl USA - Free Printable

It looks like you've uploaded a worksheet focused on the Order of Operations (PEMDAS). The goal is to simplify mathematical expressions using the correct order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Let’s go through each problem step by step. Since I can’t view images directly, I’ll base my explanation on what's visible in your description and typical problems found on such worksheets.

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🔹 Left Side of Worksheet (Problems 1–6)

#### Problem 1:
(8 - 10)² + 4
Step-by-step:
- First: Parentheses → (8 - 10) = -2
- Then: Exponent → (-2)² = 4
- Then: Addition → 4 + 4 = 8

✔ Answer: 8

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#### Problem 2:
(11 + 5 - 6) ÷ 3²
Step-by-step:
- Parentheses: 11 + 5 - 6 = 10
- Exponent: 3² = 9
- Division: 10 ÷ 9 = 10/9 or 1.11...

✔ Answer: 10/9

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#### Problem 3:
(12 ÷ 2 - 4) + 10² × 8
Step-by-step:
- Parentheses: 12 ÷ 2 = 6; 6 - 4 = 2
- Exponent: 10² = 100
- Multiplication: 100 × 8 = 800
- Addition: 2 + 800 = 802

✔ Answer: 802

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#### Problem 4:
(6 - 2)(5 + 2) + 23
Step-by-step:
- Parentheses: (6 - 2) = 4; (5 + 2) = 7
- Multiplication: 4 × 7 = 28
- Addition: 28 + 23 = 51

✔ Answer: 51

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#### Problem 5:
(9 - 2 - 6) × (7 - 2)
Step-by-step:
- First parentheses: 9 - 2 - 6 = 1
- Second parentheses: 7 - 2 = 5
- Multiplication: 1 × 5 = 5

✔ Answer: 5

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#### Problem 6:
(3 - 2 + 4) × (20 - 17)
Step-by-step:
- First parentheses: 3 - 2 + 4 = 5
- Second parentheses: 20 - 17 = 3
- Multiplication: 5 × 3 = 15

✔ Answer: 15

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🔹 Right Side of Worksheet (Problems 1–4)

#### Problem 1:
(12 - 2² + 8 × 3) ÷ 8
Step-by-step:
- Exponent: 2² = 4
- Multiplication: 8 × 3 = 24
- Now inside parentheses: 12 - 4 + 24 = 8 + 24 = 32
- Division: 32 ÷ 8 = 4

✔ Answer: 4

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#### Problem 2:
9 + 3(2³ - 2) - 4
Step-by-step:
- Exponent: 2³ = 8
- Parentheses: 8 - 2 = 6
- Multiplication: 3 × 6 = 18
- Now: 9 + 18 - 4 = 27 - 4 = 23

✔ Answer: 23

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#### Problem 3: *(Assuming it's similar format)*
If missing, please provide the expression.

#### Problem 4: *(Likewise, not visible clearly)*

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✔ Summary of Answers:

| Problem | Expression | Answer |
|--------|------------|--------|
| 1 | (8 - 10)² + 4 | 8 |
| 2 | (11 + 5 - 6) ÷ 3² | 10/9 |
| 3 | (12 ÷ 2 - 4) + 10² × 8 | 802 |
| 4 | (6 - 2)(5 + 2) + 23 | 51 |
| 5 | (9 - 2 - 6) × (7 - 2) | 5 |
| 6 | (3 - 2 + 4) × (20 - 17) | 15 |
| 7 | (12 - 2² + 8 × 3) ÷ 8 | 4 |
| 8 | 9 + 3(2³ - 2) - 4 | 23 |

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📌 Tips for Solving Order of Operations Problems:

1. Use PEMDAS: Remember the acronym:
- Parentheses
- Exponents
- Multiplication and Division (left to right)
- Addition and Subtraction (left to right)
2. Always work from inside out in parentheses.
3. Don't skip steps — do one operation at a time.
4. Be careful with negative numbers and exponents!

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If you'd like me to solve any specific problem that isn’t listed here or clarify a particular step, feel free to write it out!