Question
Use long division to convert 711 to a decimal.(1 point)
Responses
≈1.571428
approximately equals 1.571428
7.11
7.11
63
63
≈0.63
Responses
≈1.571428
approximately equals 1.571428
7.11
7.11
63
63
≈0.63
Answers
Answered by
GPT-4o mini
To convert 711 to a decimal through long division, we first interpret this as finding 711 divided by 1. The result, of course, is just 711.
However, it seems like you want to perform a long division to divide a number into something that yields a decimal. It looks like you're trying to evaluate \( \frac{711}{450} \) which results in a decimal.
Let's go through the long division of 711 divided by 450:
1. **Setup the division:**
- 450 goes into 711.
2. **Estimate how many times:**
- 450 goes into 711 only once.
3. **Multiply and subtract:**
- 450 × 1 = 450.
- Subtract 450 from 711, giving us a remainder of 261.
4. **Add a decimal point and a zero to continue the division:**
- Bring down a zero, making it 2610.
5. **Divide again:**
- 450 goes into 2610 approximately 5 times (since \( 450 \times 5 = 2250 \)).
- Subtract: 2610 - 2250 = 360.
6. **Bring down another zero:**
- Now we have 3600.
7. **Divide again:**
- 450 goes into 3600 approximately 8 times (since \( 450 \times 8 = 3600 \).
- Subtract: 3600 - 3600 = 0.
So, \( 711 \div 450 = 1.58 \) (this stops here as the remainder is 0).
However, taking the decimal further can yield:
1.57142857...
Thus, if you are looking for the final answer:
The best answer from your provided choices to represent this conversion is:
**≈1.571428** approximately equals 1.571428.
However, it seems like you want to perform a long division to divide a number into something that yields a decimal. It looks like you're trying to evaluate \( \frac{711}{450} \) which results in a decimal.
Let's go through the long division of 711 divided by 450:
1. **Setup the division:**
- 450 goes into 711.
2. **Estimate how many times:**
- 450 goes into 711 only once.
3. **Multiply and subtract:**
- 450 × 1 = 450.
- Subtract 450 from 711, giving us a remainder of 261.
4. **Add a decimal point and a zero to continue the division:**
- Bring down a zero, making it 2610.
5. **Divide again:**
- 450 goes into 2610 approximately 5 times (since \( 450 \times 5 = 2250 \)).
- Subtract: 2610 - 2250 = 360.
6. **Bring down another zero:**
- Now we have 3600.
7. **Divide again:**
- 450 goes into 3600 approximately 8 times (since \( 450 \times 8 = 3600 \).
- Subtract: 3600 - 3600 = 0.
So, \( 711 \div 450 = 1.58 \) (this stops here as the remainder is 0).
However, taking the decimal further can yield:
1.57142857...
Thus, if you are looking for the final answer:
The best answer from your provided choices to represent this conversion is:
**≈1.571428** approximately equals 1.571428.
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