Expanded Form Worksheets - 15 Worksheets Library - Free Printable

Let's solve the Expanded Form worksheet step by step.

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🔍 What is Expanded Form?

Expanded form shows the value of each digit in a number based on its place value. For example:

> 365 = 300 + 60 + 5

- 3 is in the hundreds place → 3 × 100 = 300
- 6 is in the tens place → 6 × 10 = 60
- 5 is in the ones place → 5 × 1 = 5

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Now, let’s go through each problem and write the expanded form.

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✔ Solutions:

#### 1. 183
- Hundreds: 1 → 100
- Tens: 8 → 80
- Ones: 3 → 3
→ 183 = 100 + 80 + 3

#### 2. 564
- Hundreds: 5 → 500
- Tens: 6 → 60
- Ones: 4 → 4
→ 564 = 500 + 60 + 4

#### 3. 742
- Hundreds: 7 → 700
- Tens: 4 → 40
- Ones: 2 → 2
→ 742 = 700 + 40 + 2

#### 4. 358
- Hundreds: 3 → 300
- Tens: 5 → 50
- Ones: 8 → 8
→ 358 = 300 + 50 + 8

#### 5. 436
- Hundreds: 4 → 400
- Tens: 3 → 30
- Ones: 6 → 6
→ 436 = 400 + 30 + 6

#### 6. 815
- Hundreds: 8 → 800
- Tens: 1 → 10
- Ones: 5 → 5
→ 815 = 800 + 10 + 5

#### 7. 274
- Hundreds: 2 → 200
- Tens: 7 → 70
- Ones: 4 → 4
→ 274 = 200 + 70 + 4

#### 8. 691
- Hundreds: 6 → 600
- Tens: 9 → 90
- Ones: 1 → 1
→ 691 = 600 + 90 + 1

#### 9. 427
- Hundreds: 4 → 400
- Tens: 2 → 20
- Ones: 7 → 7
→ 427 = 400 + 20 + 7

#### 10. 482
- Hundreds: 4 → 400
- Tens: 8 → 80
- Ones: 2 → 2
→ 482 = 400 + 80 + 2

#### 11. 465
- Hundreds: 4 → 400
- Tens: 6 → 60
- Ones: 5 → 5
→ 465 = 400 + 60 + 5

#### 12. 287
- Hundreds: 2 → 200
- Tens: 8 → 80
- Ones: 7 → 7
→ 287 = 200 + 80 + 7

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🟦 Larger Numbers (Bottom Section)

#### 13. 3,957
Break it down:
- Thousands: 3 → 3,000
- Hundreds: 9 → 900
- Tens: 5 → 50
- Ones: 7 → 7
→ 3,957 = 3,000 + 900 + 50 + 7

#### 14. 2,684
- Thousands: 2 → 2,000
- Hundreds: 6 → 600
- Tens: 8 → 80
- Ones: 4 → 4
→ 2,684 = 2,000 + 600 + 80 + 4

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✔ Final Answers:

| Number | Expanded Form |
|--------|----------------|
| 1. 183 | 100 + 80 + 3 |
| 2. 564 | 500 + 60 + 4 |
| 3. 742 | 700 + 40 + 2 |
| 4. 358 | 300 + 50 + 8 |
| 5. 436 | 400 + 30 + 6 |
| 6. 815 | 800 + 10 + 5 |
| 7. 274 | 200 + 70 + 4 |
| 8. 691 | 600 + 90 + 1 |
| 9. 427 | 400 + 20 + 7 |
| 10. 482 | 400 + 80 + 2 |
| 11. 465 | 400 + 60 + 5 |
| 12. 287 | 200 + 80 + 7 |
| 13. 3,957 | 3,000 + 900 + 50 + 7 |
| 14. 2,684 | 2,000 + 600 + 80 + 4 |

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💡 Tips for Students:

- Always look at the place value of each digit.
- Use a place value chart if needed (thousands, hundreds, tens, ones).
- Write the value of each digit, not just the digit itself.

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✔ How Did You Do? — You can circle the smiley face that matches your confidence!

Let me know if you'd like this as a printable answer key! 😊