Place Value Worksheets -Worksheets Library - Free Printable

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

We are given a series of two-digit numbers, and for each number, we need to:

1. Identify how many tens and ones make up the number.
2. Write the number in expanded form, which means breaking it into its tens and ones components.

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🔢 Understanding Place Value:

For any two-digit number:
- The first digit (left) is the tens place → represents how many groups of 10.
- The second digit (right) is the ones place → represents single units.

So, for example:
- 42 = 4 tens (which is 4 × 10 = 40) + 2 ones (2 × 1 = 2)
- Expanded form: 40 + 2 = 42

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Now let’s go through each row:

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✔ 1. Number: 42

- Tens: 4 tens
- Ones: 2 ones
- Expanded Form: 40 + 2 = 42
(Also written as: 40 + 2 = 42)

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✔ 2. Number: 44

- Tens: 4 tens
- Ones: 4 ones
- Expanded Form: 40 + 4 = 44

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✔ 3. Number: 48

- Tens: 4 tens
- Ones: 8 ones
- Expanded Form: 40 + 8 = 48

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✔ 4. Number: 46

- Tens: 4 tens
- Ones: 6 ones
- Expanded Form: 40 + 6 = 46

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✔ 5. Number: 49

- Tens: 4 tens
- Ones: 9 ones
- Expanded Form: 40 + 9 = 49

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✔ 6. Number: 41

- Tens: 4 tens
- Ones: 1 one
- Expanded Form: 40 + 1 = 41

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✔ Final Answer Table:

| Number | Tens and Ones | Expanded Form |
|--------|------------------------|----------------------------|
| 42 | 4 tens<br>2 ones | 40 + 2 = 42 |
| 44 | 4 tens<br>4 ones | 40 + 4 = 44 |
| 48 | 4 tens<br>8 ones | 40 + 8 = 48 |
| 46 | 4 tens<br>6 ones | 40 + 6 = 46 |
| 49 | 4 tens<br>9 ones | 40 + 9 = 49 |
| 41 | 4 tens<br>1 one | 40 + 1 = 41 |

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✔ Explanation Summary:
All the numbers from 41 to 49 have 4 tens (i.e., 40), because they are all in the "forties." The ones digit varies from 1 to 9. So, expanded form is always:
> 40 + [ones digit] = total number

This helps students understand that place value determines the value of digits based on their position.

Let me know if you'd like a printable version or a visual explanation!