Order of Operations in Math | Steps & Examples Video - Free Printable

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You’ve uploaded an answer key for an “Order of Operations” worksheet (Sheet 5:1). Since this is the *answers* sheet, there’s no problem to solve — it’s already solved! But I can help you understand how each problem was solved using the order of operations (PEMDAS/BODMAS).

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## 🔢 What is Order of Operations?

We follow this rule:
> Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

Sometimes called PEMDAS (Please Excuse My Dear Aunt Sally).

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## 🧮 Let’s Walk Through a Few Examples

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✔ Problem 1: `(4 + 3) x 2 = 14`

- Step 1: Parentheses first → `4 + 3 = 7`
- Step 2: Multiply → `7 x 2 = 14` ✔️

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✔ Problem 2: `4 + (3 x 2) = 10`

- Step 1: Parentheses → `3 x 2 = 6`
- Step 2: Add → `4 + 6 = 10` ✔️

*(Note: Even without parentheses, multiplication comes before addition, so same result.)*

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✔ Problem 3: `(2 + 3) x 5 = 25`

- Step 1: `2 + 3 = 5`
- Step 2: `5 x 5 = 25` ✔️

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✔ Problem 4: `2 + (3 x 5) = 17`

- Step 1: `3 x 5 = 15`
- Step 2: `2 + 15 = 17` ✔️

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✔ Problem 5: `(8 - 3) x 2 = 10`

- Step 1: `8 - 3 = 5`
- Step 2: `5 x 2 = 10` ✔️

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✔ Problem 6: `8 - (3 x 2) = 2`

- Step 1: `3 x 2 = 6`
- Step 2: `8 - 6 = 2` ✔️

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✔ Problem 7: `(4 + 2) x 3 = 18`

- Step 1: `4 + 2 = 6`
- Step 2: `6 x 3 = 18` ✔️

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✔ Problem 8: `4 + (2 x 3) = 10`

- Step 1: `2 x 3 = 6`
- Step 2: `4 + 6 = 10` ✔️

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✔ Problem 9: `5 x 3 + 4 = 19`

- Step 1: Multiplication first → `5 x 3 = 15`
- Step 2: Add → `15 + 4 = 19` ✔️

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✔ Problem 10: `5 + 3 x 4 = 17`

- Step 1: `3 x 4 = 12`
- Step 2: `5 + 12 = 17` ✔️

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✔ Problem 11: `10 ÷ 2 + 3 = 8`

- Step 1: Division → `10 ÷ 2 = 5`
- Step 2: Add → `5 + 3 = 8` ✔️

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✔ Problem 12: `10 - 6 ÷ 2 = 7`

- Step 1: Division → `6 ÷ 2 = 3`
- Step 2: Subtract → `10 - 3 = 7` ✔️

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✔ Problem 13: `(4 + 7) x 3 = 33`

- Step 1: `4 + 7 = 11`
- Step 2: `11 x 3 = 33` ✔️

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✔ Problem 14: `4 + 7 x 3 = 25`

- Step 1: `7 x 3 = 21`
- Step 2: `4 + 21 = 25` ✔️

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✔ Problem 15: `10 - 3 x 2 = 4`

- Step 1: `3 x 2 = 6`
- Step 2: `10 - 6 = 4` ✔️

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✔ Problem 16: `(10 - 3) x 2 = 14`

- Step 1: `10 - 3 = 7`
- Step 2: `7 x 2 = 14` ✔️

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✔ Problem 17: `5 + 2 x 4 = 13`

- Step 1: `2 x 4 = 8`
- Step 2: `5 + 8 = 13` ✔️

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✔ Problem 18: `7 x 2 - 5 = 9`

- Step 1: `7 x 2 = 14`
- Step 2: `14 - 5 = 9` ✔️

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✔ Problem 19: `14 - 3 x 3 = 5`

- Step 1: `3 x 3 = 9`
- Step 2: `14 - 9 = 5` ✔️

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✔ Problem 20: `8 + (3 x 5) = 23`

- Step 1: `3 x 5 = 15`
- Step 2: `8 + 15 = 23` ✔️

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✔ Problem 21: `6 x 3 - 7 = 11`

- Step 1: `6 x 3 = 18`
- Step 2: `18 - 7 = 11` ✔️

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✔ Problem 22: `12 ÷ 2 + 4 = 10`

- Step 1: `12 ÷ 2 = 6`
- Step 2: `6 + 4 = 10` ✔️

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✔ Problem 23: `9 - 7 + 6 = 8`

- Step 1: Left to right → `9 - 7 = 2`
- Step 2: `2 + 6 = 8` ✔️

*(Addition and subtraction are done left to right when no grouping or higher ops exist.)*

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✔ Problem 24: `9 - (7 + 6) = -4`

- Step 1: Parentheses → `7 + 6 = 13`
- Step 2: `9 - 13 = -4` ✔️

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## 📌 Summary

All 24 problems correctly follow the order of operations:

✔ Parentheses first
✔ Then multiplication/division (left to right)
✔ Then addition/subtraction (left to right)

This answer key is accurate and great for checking your work!

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If you want to practice or need the blank worksheet (without answers), let me know — I can generate one for you! 😊

Parent Tip: Review the logic above to help your child master the concept of pemdas examples.

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