Subtraction Methods
1. **Problem Statement:** Find the difference for each subtraction problem, using the proper subtraction method.
2. **Subtraction with Regrouping:** When the top digit is smaller than the bottom digit in a column, we borrow 1 from the next left column.
3. **Subtraction without Regrouping:** When the top digit is always larger or equal to the bottom digit, subtract directly.
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### With Regrouping
1. $50 - 14$
- Borrow 1 from the 5 (tens), making it 4 tens.
- Units: $0 + 10 - 4 = 6$
- Tens: $4 - 1 = 3$
- Result: $36$
2. $92 - 73$
- Units: $2 < 3$, borrow 1 from 9 (tens) → 8 tens.
- Units: $12 - 3 = 9$
- Tens: $8 - 7 = 1$
- Result: $19$
3. $83 - 9$
- Treat 9 as $09$.
- Units: $3 < 9$, borrow 1 from 8 → 7 tens.
- Units: $13 - 9 = 4$
- Tens: $7 - 0 = 7$
- Result: $74$
4. $36 - 18$
- Units: $6 < 8$, borrow 1 from 3 → 2 tens.
- Units: $16 - 8 = 8$
- Tens: $2 - 1 = 1$
- Result: $18$
5. $64 - 27$
- Units: $4 < 7$, borrow 1 from 6 → 5 tens.
- Units: $14 - 7 = 7$
- Tens: $5 - 2 = 3$
- Result: $37$
6. $71 - 45$
- Units: $1 < 5$, borrow 1 from 7 → 6 tens.
- Units: $11 - 5 = 6$
- Tens: $6 - 4 = 2$
- Result: $26$
7. $24 - 8$
- Treat 8 as $08$.
- Units: $4 < 8$, borrow 1 from 2 → 1 ten.
- Units: $14 - 8 = 6$
- Tens: $1 - 0 = 1$
- Result: $16$
---
### Without Regrouping
1. $561 - 140$
- Units: $1 - 0 = 1$
- Tens: $6 - 4 = 2$
- Hundreds: $5 - 1 = 4$
- Result: $421$
2. $927 - 15$
- Units: $7 - 5 = 2$
- Tens: $2 - 1 = 1$
- Hundreds: $9 - 0 = 9$
- Result: $912$
3. $843 - 523$
- Units: $3 - 3 = 0$
- Tens: $4 - 2 = 2$
- Hundreds: $8 - 5 = 3$
- Result: $320$
4. $326 - 124$
- Units: $6 - 4 = 2$
- Tens: $2 - 2 = 0$
- Hundreds: $3 - 1 = 2$
- Result: $202$
5. $648 - 215$
- Units: $8 - 5 = 3$
- Tens: $4 - 1 = 3$
- Hundreds: $6 - 2 = 4$
- Result: $433$
6. $789 - 274$
- Units: $9 - 4 = 5$
- Tens: $8 - 7 = 1$
- Hundreds: $7 - 2 = 5$
- Result: $515$
7. $254 - 21$
- Units: $4 - 1 = 3$
- Tens: $5 - 2 = 3$
- Hundreds: $2 - 0 = 2$
- Result: $233$
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**Final answers:**
With Regrouping: 36, 19, 74, 18, 37, 26, 16
Without Regrouping: 421, 912, 320, 202, 433, 515, 233