Let's solve this
Place Value worksheet step by step.
We are given a number, and we need to:
1. Break it down into
hundreds,
tens, and
ones.
2. Write the
expanded form using addition.
---
🔹 Understanding Place Value
For any 3-digit number:
- The
leftmost digit is the
hundreds place.
- The
middle digit is the
tens place.
- The
rightmost digit is the
ones place.
So:
- 124 → 1 hundred, 2 tens, 4 ones
- Expanded form: 100 + 20 + 4 = 124
We'll apply this to each number.
---
✔ 1. Number: 124
- Hundreds:
1
- Tens:
2
- Ones:
4
- Expanded form:
$ 100 + 20 + 4 = 124 $
---
✔ 2. Number: 657
- Hundreds:
6
- Tens:
5
- Ones:
7
- Expanded form:
$ 600 + 50 + 7 = 657 $
---
✔ 3. Number: 956
- Hundreds:
9
- Tens:
5
- Ones:
6
- Expanded form:
$ 900 + 50 + 6 = 956 $
---
✔ 4. Number: 349
- Hundreds:
3
- Tens:
4
- Ones:
9
- Expanded form:
$ 300 + 40 + 9 = 349 $
---
✔ 5. Number: 271
- Hundreds:
2
- Tens:
7
- Ones:
1
- Expanded form:
$ 200 + 70 + 1 = 271 $
---
✔ 6. Number: 522
- Hundreds:
5
- Tens:
2
- Ones:
2
- Expanded form:
$ 500 + 20 + 2 = 522 $
---
📝 Final Answer Table:
| Number | Hundreds, Tens and Ones | Expanded Form |
|--------|--------------------------|----------------|
| 124 | 1 hundreds<br>2 tens<br>4 ones | 100 + 20 + 4 = 124<br>100 + 20 + 4 = 124 |
| 657 | 6 hundreds<br>5 tens<br>7 ones | 600 + 50 + 7 = 657<br>600 + 50 + 7 = 657 |
| 956 | 9 hundreds<br>5 tens<br>6 ones | 900 + 50 + 6 = 956<br>900 + 50 + 6 = 956 |
| 349 | 3 hundreds<br>4 tens<br>9 ones | 300 + 40 + 9 = 349<br>300 + 40 + 9 = 349 |
| 271 | 2 hundreds<br>7 tens<br>1 one | 200 + 70 + 1 = 271<br>200 + 70 + 1 = 271 |
| 522 | 5 hundreds<br>2 tens<br>2 ones | 500 + 20 + 2 = 522<br>500 + 20 + 2 = 522 |
> ⚠️ Note: The "Expanded Form" column has two lines — both should be filled the same way (the first line is the breakdown, the second line is the sum). So you write the same expression twice for clarity.
---
✔ All problems solved!
This helps students understand how numbers are built from their digits based on place value.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet grade 3 free.
