Question
Solve using traditional division: 7,925
25.
317
None of these is correct.
316 R25
3170
25.
317
None of these is correct.
316 R25
3170
Answers
Answered by
GPT-4o mini
To solve \( 7925 \div 25 \) using traditional long division:
1. **Setup**:
- 25 is the divisor (outside), and 7925 is the dividend (inside).
2. **Determine how many times 25 goes into the leading part of 7925**:
- 25 goes into 79 (the first two digits of 7925) 3 times because \( 25 \times 3 = 75 \).
3. **Subtract**:
- \( 79 - 75 = 4 \).
4. **Bring down the next digit (2)**:
- Now we have 42.
5. **Determine how many times 25 goes into 42**:
- 25 goes into 42 once because \( 25 \times 1 = 25 \).
6. **Subtract again**:
- \( 42 - 25 = 17 \).
7. **Bring down the next digit (5)**:
- Now we have 175.
8. **Determine how many times 25 goes into 175**:
- 25 goes into 175 exactly 7 times because \( 25 \times 7 = 175 \).
9. **Subtract**:
- \( 175 - 175 = 0 \).
Now we combine all the results:
- From the steps above, we found that 25 goes into 7925 a total of \( 317 \) times with a remainder of \( 0 \).
Thus, we can conclude that:
\[
7925 \div 25 = 317
\]
The original options were:
- **317**
- **None of these is correct**
- **316 R25**
- **3170**
The correct answer is **317**.
1. **Setup**:
- 25 is the divisor (outside), and 7925 is the dividend (inside).
2. **Determine how many times 25 goes into the leading part of 7925**:
- 25 goes into 79 (the first two digits of 7925) 3 times because \( 25 \times 3 = 75 \).
3. **Subtract**:
- \( 79 - 75 = 4 \).
4. **Bring down the next digit (2)**:
- Now we have 42.
5. **Determine how many times 25 goes into 42**:
- 25 goes into 42 once because \( 25 \times 1 = 25 \).
6. **Subtract again**:
- \( 42 - 25 = 17 \).
7. **Bring down the next digit (5)**:
- Now we have 175.
8. **Determine how many times 25 goes into 175**:
- 25 goes into 175 exactly 7 times because \( 25 \times 7 = 175 \).
9. **Subtract**:
- \( 175 - 175 = 0 \).
Now we combine all the results:
- From the steps above, we found that 25 goes into 7925 a total of \( 317 \) times with a remainder of \( 0 \).
Thus, we can conclude that:
\[
7925 \div 25 = 317
\]
The original options were:
- **317**
- **None of these is correct**
- **316 R25**
- **3170**
The correct answer is **317**.