4 Digit Subtraction with regrouping - skoolon.com - Free Printable
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Step-by-step solution for: 4 Digit Subtraction with regrouping - skoolon.com
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Show Answer Key & Explanations
Step-by-step solution for: 4 Digit Subtraction with regrouping - skoolon.com
Problem: Solve the 4-Digit Subtraction Problems with Regrouping
The worksheet asks us to subtract the following sums using the method of regrouping (borrowing). Let's solve each problem step by step.
---
#### 1. \( 9173 - 5268 \)
```
Th H T O
9 1 7 3
- 5 2 6 8
----------------
3 9 0 5
```
Explanation:
- Ones place: \( 3 - 8 \) → Borrow 1 from the tens place. Now, \( 13 - 8 = 5 \).
- Tens place: After borrowing, \( 6 - 6 = 0 \).
- Hundreds place: \( 0 - 2 \) → Borrow 1 from the thousands place. Now, \( 10 - 2 = 8 \).
- Thousands place: After borrowing, \( 8 - 5 = 3 \).
Answer: \( 3905 \)
---
#### 2. \( 6520 - 868 \)
```
Th H T O
6 5 2 0
- 8 6 8
----------------
5 6 5 2
```
Explanation:
- Ones place: \( 0 - 8 \) → Borrow 1 from the tens place. Now, \( 10 - 8 = 2 \).
- Tens place: After borrowing, \( 1 - 6 \) → Borrow 1 from the hundreds place. Now, \( 11 - 6 = 5 \).
- Hundreds place: After borrowing, \( 4 - 8 \) → Borrow 1 from the thousands place. Now, \( 14 - 8 = 6 \).
- Thousands place: After borrowing, \( 5 - 0 = 5 \).
Answer: \( 5652 \)
---
#### 3. \( 7024 - 3768 \)
```
Th H T O
7 0 2 4
- 3 7 6 8
----------------
3 2 5 6
```
Explanation:
- Ones place: \( 4 - 8 \) → Borrow 1 from the tens place. Now, \( 14 - 8 = 6 \).
- Tens place: After borrowing, \( 1 - 6 \) → Borrow 1 from the hundreds place. Now, \( 11 - 6 = 5 \).
- Hundreds place: After borrowing, \( 9 - 7 = 2 \).
- Thousands place: \( 7 - 3 = 4 \).
Answer: \( 3256 \)
---
#### 4. \( 8000 - 2991 \)
```
Th H T O
8 0 0 0
- 2 9 9 1
----------------
5 0 0 9
```
Explanation:
- Ones place: \( 0 - 1 \) → Borrow 1 from the tens place. Now, \( 10 - 1 = 9 \).
- Tens place: After borrowing, \( 9 - 9 = 0 \).
- Hundreds place: After borrowing, \( 9 - 9 = 0 \).
- Thousands place: \( 8 - 2 = 6 \).
Answer: \( 5009 \)
---
#### 5. \( 5432 - 2345 \)
```
Th H T O
5 4 3 2
- 2 3 4 5
----------------
3 0 8 7
```
Explanation:
- Ones place: \( 2 - 5 \) → Borrow 1 from the tens place. Now, \( 12 - 5 = 7 \).
- Tens place: After borrowing, \( 2 - 4 \) → Borrow 1 from the hundreds place. Now, \( 12 - 4 = 8 \).
- Hundreds place: After borrowing, \( 3 - 3 = 0 \).
- Thousands place: \( 5 - 2 = 3 \).
Answer: \( 3087 \)
---
#### 6. \( 9628 - 5769 \)
```
Th H T O
9 6 2 8
- 5 7 6 9
----------------
3 8 5 9
```
Explanation:
- Ones place: \( 8 - 9 \) → Borrow 1 from the tens place. Now, \( 18 - 9 = 9 \).
- Tens place: After borrowing, \( 1 - 6 \) → Borrow 1 from the hundreds place. Now, \( 11 - 6 = 5 \).
- Hundreds place: After borrowing, \( 5 - 7 \) → Borrow 1 from the thousands place. Now, \( 15 - 7 = 8 \).
- Thousands place: After borrowing, \( 8 - 5 = 3 \).
Answer: \( 3859 \)
---
#### 7. \( 4020 - 1064 \)
```
Th H T O
4 0 2 0
- 1 0 6 4
----------------
2 9 5 6
```
Explanation:
- Ones place: \( 0 - 4 \) → Borrow 1 from the tens place. Now, \( 10 - 4 = 6 \).
- Tens place: After borrowing, \( 1 - 6 \) → Borrow 1 from the hundreds place. Now, \( 11 - 6 = 5 \).
- Hundreds place: After borrowing, \( 9 - 0 = 9 \).
- Thousands place: \( 4 - 1 = 3 \).
Answer: \( 2956 \)
---
#### 8. \( 6000 - 5 \)
```
Th H T O
6 0 0 0
- 5
----------------
5 9 9 5
```
Explanation:
- Ones place: \( 0 - 5 \) → Borrow 1 from the tens place. Now, \( 10 - 5 = 5 \).
- Tens place: After borrowing, \( 9 - 0 = 9 \).
- Hundreds place: \( 9 - 0 = 9 \).
- Thousands place: \( 5 - 0 = 5 \).
Answer: \( 5995 \)
---
#### 9. \( 3060 - 1586 \)
```
Th H T O
3 0 6 0
- 1 5 8 6
----------------
1 4 7 4
```
Explanation:
- Ones place: \( 0 - 6 \) → Borrow 1 from the tens place. Now, \( 10 - 6 = 4 \).
- Tens place: After borrowing, \( 5 - 8 \) → Borrow 1 from the hundreds place. Now, \( 15 - 8 = 7 \).
- Hundreds place: After borrowing, \( 9 - 5 = 4 \).
- Thousands place: \( 3 - 1 = 2 \).
Answer: \( 1474 \)
---
#### 10. \( 6312 - 1236 \)
```
Th H T O
6 3 1 2
- 1 2 3 6
----------------
5 0 7 6
```
Explanation:
- Ones place: \( 2 - 6 \) → Borrow 1 from the tens place. Now, \( 12 - 6 = 6 \).
- Tens place: After borrowing, \( 0 - 3 \) → Borrow 1 from the hundreds place. Now, \( 10 - 3 = 7 \).
- Hundreds place: After borrowing, \( 2 - 2 = 0 \).
- Thousands place: \( 6 - 1 = 5 \).
Answer: \( 5076 \)
---
#### 11. \( 4321 - 1234 \)
```
Th H T O
4 3 2 1
- 1 2 3 4
----------------
3 0 8 7
```
Explanation:
- Ones place: \( 1 - 4 \) → Borrow 1 from the tens place. Now, \( 11 - 4 = 7 \).
- Tens place: After borrowing, \( 1 - 3 \) → Borrow 1 from the hundreds place. Now, \( 11 - 3 = 8 \).
- Hundreds place: After borrowing, \( 2 - 2 = 0 \).
- Thousands place: \( 4 - 1 = 3 \).
Answer: \( 3087 \)
---
Final Answers:
\[
\boxed{
\begin{aligned}
&3905, 5652, 3256, 5009, 3087, 3859, 2956, 5995, 1474, 5076, 3087
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet for grade 4.