Absolutely! Let’s solve this
Place Value worksheet step by step.
The goal is to break down each 3-digit number into its
hundreds,
tens, and
ones place values, then write it in
expanded form (which means adding the value of each digit based on its place).
---
🔢 How Place Value Works:
In a 3-digit number like
ABC:
-
A is in the
hundreds place → value = A × 100
-
B is in the
tens place → value = B × 10
-
C is in the
ones place → value = C × 1
Expanded form: `(hundreds value) + (tens value) + (ones value)`
---
Let’s go row by row:
---
✔ Row 1: 421
- Hundreds:
4 → 400
- Tens:
2 → 20
- Ones:
1 → 1
Expanded Form:
→ `400 + 20 + 1 = 421`
→ (You can also write it as `400 + 20 + 1` without the equals if just showing breakdown)
---
✔ Row 2: 809
- Hundreds:
8 → 800
- Tens:
0 → 0
- Ones:
9 → 9
Expanded Form:
→ `800 + 0 + 9 = 809`
*(Note: Even though tens digit is 0, we still include it for place value completeness.)*
---
✔ Row 3: 437
- Hundreds:
4 → 400
- Tens:
3 → 30
- Ones:
7 → 7
Expanded Form:
→ `400 + 30 + 7 = 437`
---
✔ Row 4: 296
- Hundreds:
2 → 200
- Tens:
9 → 90
- Ones:
6 → 6
Expanded Form:
→ `200 + 90 + 6 = 296`
---
✔ Row 5: 673
- Hundreds:
6 → 600
- Tens:
7 → 70
- Ones:
3 → 3
Expanded Form:
→ `600 + 70 + 3 = 673`
---
✔ Row 6: 451
- Hundreds:
4 → 400
- Tens:
5 → 50
- Ones:
1 → 1
Expanded Form:
→ `400 + 50 + 1 = 451`
---
## 📝 Final Completed Worksheet:
| Number | Hundreds, Tens and Ones | Expanded Form |
|--------|--------------------------------|-----------------------------------|
| 421 |
4 hundreds<br>
2 tens<br>
1 ones |
400 + 20 + 1 = 421 |
| 809 |
8 hundreds<br>
0 tens<br>
9 ones |
800 + 0 + 9 = 809 |
| 437 |
4 hundreds<br>
3 tens<br>
7 ones |
400 + 30 + 7 = 437 |
| 296 |
2 hundreds<br>
9 tens<br>
6 ones |
200 + 90 + 6 = 296 |
| 673 |
6 hundreds<br>
7 tens<br>
3 ones |
600 + 70 + 3 = 673 |
| 451 |
4 hundreds<br>
5 tens<br>
1 ones |
400 + 50 + 1 = 451 |
---
✔ Explanation Summary:
Each digit in a number has a “place” that tells us its value. The leftmost digit is hundreds (×100), middle is tens (×10), rightmost is ones (×1). Expanded form adds these values together to show how the number is built.
This helps students understand that numbers aren’t just symbols — they represent real quantities based on position!
Let me know if you’d like a printable version or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of place value worksheet free 2nd grade.
