Absolutely! Let’s solve this
Three-Digit Subtraction: Expanded Form worksheet step by step.
The goal is to:
1. Write each number in
expanded form (hundreds + tens + ones).
2. Subtract the
ones, then the
tens, then the
hundreds.
3. Add those differences together to get the final answer.
Let’s go problem by problem.
---
🔢 Problem 1: 465 – 312
Step 1: Expanded Form
- 465 =
400 + 60 + 5
- 312 =
300 + 10 + 2
Step 2: Subtract each place value
- Ones: 5 – 2 =
3
- Tens: 60 – 10 =
50
- Hundreds: 400 – 300 =
100
Step 3: Add the differences
→ 100 + 50 + 3 =
153
✔ Final Answer:
153
---
🔢 Problem 2: 659 – 425
Expanded Form:
- 659 =
600 + 50 + 9
- 425 =
400 + 20 + 5
Subtract:
- Ones: 9 – 5 =
4
- Tens: 50 – 20 =
30
- Hundreds: 600 – 400 =
200
Add differences:
→ 200 + 30 + 4 =
234
✔ Final Answer:
234
---
🔢 Problem 3: 356 – 134
Expanded Form:
- 356 =
300 + 50 + 6
- 134 =
100 + 30 + 4
Subtract:
- Ones: 6 – 4 =
2
- Tens: 50 – 30 =
20
- Hundreds: 300 – 100 =
200
Add differences:
→ 200 + 20 + 2 =
222
✔ Final Answer:
222
---
🔢 Problem 4: 972 – 232
Expanded Form:
- 972 =
900 + 70 + 2
- 232 =
200 + 30 + 2
Subtract:
- Ones: 2 – 2 =
0
- Tens: 70 – 30 =
40
- Hundreds: 900 – 200 =
700
Add differences:
→ 700 + 40 + 0 =
740
✔ Final Answer:
740
---
🔢 Problem 5: 647 – 231
Expanded Form:
- 647 =
600 + 40 + 7
- 231 =
200 + 30 + 1
Subtract:
- Ones: 7 – 1 =
6
- Tens: 40 – 30 =
10
- Hundreds: 600 – 200 =
400
Add differences:
→ 400 + 10 + 6 =
416
✔ Final Answer:
416
---
🔢 Problem 6: 873 – 520
Expanded Form:
- 873 =
800 + 70 + 3
- 520 =
500 + 20 + 0
Subtract:
- Ones: 3 – 0 =
3
- Tens: 70 – 20 =
50
- Hundreds: 800 – 500 =
300
Add differences:
→ 300 + 50 + 3 =
353
✔ Final Answer:
353
---
##
✔ Final Answers for the Worksheet:
| Problem | Expanded Form (Top) | Expanded Form (Bottom) | Difference |
|---------|---------------------------|---------------------------|----------|
| 465–312 | 400 + 60 + 5 | 300 + 10 + 2 |
153 |
| 659–425 | 600 + 50 + 9 | 400 + 20 + 5 |
234 |
| 356–134 | 300 + 50 + 6 | 100 + 30 + 4 |
222 |
| 972–232 | 900 + 70 + 2 | 200 + 30 + 2 |
740 |
| 647–231 | 600 + 40 + 7 | 200 + 30 + 1 |
416 |
| 873–520 | 800 + 70 + 3 | 500 + 20 + 0 |
353 |
---
## 💡 Why This Method Works:
This method teaches
place value understanding. Instead of borrowing or regrouping, students subtract each digit’s place value separately — which reinforces that numbers are made up of hundreds, tens, and ones. It’s a great foundational strategy before moving to standard algorithm subtraction.
Let me know if you’d like a printable version or want to practice with regrouping next! 😊
Parent Tip: Review the logic above to help your child master the concept of expanded form subtraction worksheet.
