Expanded Form of Numbers Worksheet | Grade1to6.com - Free Printable

Let's solve the problem step by step.

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🔷 What is Expanded Form?

The expanded form of a number shows the value of each digit based on its place (hundreds, tens, ones). For example:

> 125 = 100 + 20 + 5
> → 1 hundred, 2 tens, 5 ones

We'll apply this to each number.

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✔ Now, let’s write the expanded form for each:

#### a. 125
Already given:
100 + 20 + 5

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#### b. 364
- 3 hundreds = 300
- 6 tens = 60
- 4 ones = 4
→ 300 + 60 + 4

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#### c. 471
- 4 hundreds = 400
- 7 tens = 70
- 1 one = 1
→ 400 + 70 + 1

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#### d. 521
- 5 hundreds = 500
- 2 tens = 20
- 1 one = 1
→ 500 + 20 + 1

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#### e. 412
- 4 hundreds = 400
- 1 ten = 10
- 2 ones = 2
→ 400 + 10 + 2

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#### f. 523
- 5 hundreds = 500
- 2 tens = 20
- 3 ones = 3
→ 500 + 20 + 3

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#### g. 214
- 2 hundreds = 200
- 1 ten = 10
- 4 ones = 4
→ 200 + 10 + 4

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#### h. 162
- 1 hundred = 100
- 6 tens = 60
- 2 ones = 2
→ 100 + 60 + 2

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#### i. 322
- 3 hundreds = 300
- 2 tens = 20
- 2 ones = 2
→ 300 + 20 + 2

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#### j. 524
- 5 hundreds = 500
- 2 tens = 20
- 4 ones = 4
→ 500 + 20 + 4

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#### k. 478
- 4 hundreds = 400
- 7 tens = 70
- 8 ones = 8
→ 400 + 70 + 8

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#### l. 854
- 8 hundreds = 800
- 5 tens = 50
- 4 ones = 4
→ 800 + 50 + 4

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#### m. 569
- 5 hundreds = 500
- 6 tens = 60
- 9 ones = 9
→ 500 + 60 + 9

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✔ Final Answers:

| Number | Expanded Form |
|--------|----------------|
| a. 125 | 100 + 20 + 5 |
| b. 364 | 300 + 60 + 4 |
| c. 471 | 400 + 70 + 1 |
| d. 521 | 500 + 20 + 1 |
| e. 412 | 400 + 10 + 2 |
| f. 523 | 500 + 20 + 3 |
| g. 214 | 200 + 10 + 4 |
| h. 162 | 100 + 60 + 2 |
| i. 322 | 300 + 20 + 2 |
| j. 524 | 500 + 20 + 4 |
| k. 478 | 400 + 70 + 8 |
| l. 854 | 800 + 50 + 4 |
| m. 569 | 500 + 60 + 9 |

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📌 Explanation:

To find the expanded form:
1. Identify the digits in hundreds, tens, and ones places.
2. Multiply each digit by its place value:
- Hundreds → ×100
- Tens → ×10
- Ones → ×1
3. Add them together.

For example:
364 → 3×100 = 300, 6×10 = 60, 4×1 = 4 → 300 + 60 + 4

✔ This helps understand how numbers are built using place values!

Let me know if you'd like a printable version or more practice!