Place Value Worksheets -Worksheets Library - Free Printable

Let's solve this Place Value worksheet step by step.

We are given a series of 3-digit numbers. For each number, we need to:
1. Identify how many hundreds, tens, and ones are in the number.
2. Write the expanded form using addition:
`hundreds × 100 + tens × 10 + ones × 1`.

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🔢 Step-by-step solutions

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#### 1. Number: 837

- Hundreds: 8 → 8 × 100 = 800
- Tens: 3 → 3 × 10 = 30
- Ones: 7 → 7 × 1 = 7

Expanded Form:
800 + 30 + 7 = 837

✔ Fill in:
- 8 hundreds
- 3 tens
- 7 ones
- Expanded: 800 + 30 + 7 = 837

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#### 2. Number: 534

- Hundreds: 5 → 5 × 100 = 500
- Tens: 3 → 3 × 10 = 30
- Ones: 4 → 4 × 1 = 4

Expanded Form:
500 + 30 + 4 = 534

✔ Fill in:
- 5 hundreds
- 3 tens
- 4 ones
- Expanded: 500 + 30 + 4 = 534

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#### 3. Number: 176

- Hundreds: 1 → 1 × 100 = 100
- Tens: 7 → 7 × 10 = 70
- Ones: 6 → 6 × 1 = 6

Expanded Form:
100 + 70 + 6 = 176

✔ Fill in:
- 1 hundred
- 7 tens
- 6 ones
- Expanded: 100 + 70 + 6 = 176

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#### 4. Number: 573

- Hundreds: 5 → 5 × 100 = 500
- Tens: 7 → 7 × 10 = 70
- Ones: 3 → 3 × 1 = 3

Expanded Form:
500 + 70 + 3 = 573

✔ Fill in:
- 5 hundreds
- 7 tens
- 3 ones
- Expanded: 500 + 70 + 3 = 573

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#### 5. Number: 342

- Hundreds: 3 → 3 × 100 = 300
- Tens: 4 → 4 × 10 = 40
- Ones: 2 → 2 × 1 = 2

Expanded Form:
300 + 40 + 2 = 342

✔ Fill in:
- 3 hundreds
- 4 tens
- 2 ones
- Expanded: 300 + 40 + 2 = 342

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#### 6. Number: 847

- Hundreds: 8 → 8 × 100 = 800
- Tens: 4 → 4 × 10 = 40
- Ones: 7 → 7 × 1 = 7

Expanded Form:
800 + 40 + 7 = 847

✔ Fill in:
- 8 hundreds
- 4 tens
- 7 ones
- Expanded: 800 + 40 + 7 = 847

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✔ Final Completed Worksheet:

| Number | Hundreds, Tens and Ones | Expanded Form |
|--------|--------------------------|----------------|
| 837 | 8 hundreds<br>3 tens<br>7 ones | 800 + 30 + 7 =<br>800 + 30 + 7 = 837 |
| 534 | 5 hundreds<br>3 tens<br>4 ones | 500 + 30 + 4 =<br>500 + 30 + 4 = 534 |
| 176 | 1 hundred<br>7 tens<br>6 ones | 100 + 70 + 6 =<br>100 + 70 + 6 = 176 |
| 573 | 5 hundreds<br>7 tens<br>3 ones | 500 + 70 + 3 =<br>500 + 70 + 3 = 573 |
| 342 | 3 hundreds<br>4 tens<br>2 ones | 300 + 40 + 2 =<br>300 + 40 + 2 = 342 |
| 847 | 8 hundreds<br>4 tens<br>7 ones | 800 + 40 + 7 =<br>800 + 40 + 7 = 847 |

> 💡 Note: The expanded form is written twice in the worksheet (likely for practice). You can repeat the same expression both times.

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🎯 Summary:

This exercise teaches place value understanding — recognizing that each digit in a number has a value based on its position:
- Hundreds place → ×100
- Tens place → ×10
- Ones place → ×1

You break the number down into these parts and add them to get the original number.

Let me know if you'd like this as a printable version or with visual aids!