To convert 6715 into a decimal using long division, we need to divide 6715 by 1000 because there are three digits after the decimal point in the number 6715.
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Set up the long division: 6715 divided by 1000.
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Perform the division:
- 1000 goes into 6715 six times (because 1000 * 6 = 6000).
- Subtract 6000 from 6715: \[ 6715 - 6000 = 715 \]
- Now bring down the next digit if needed, but since we have no more digits to bring down, we append a decimal point and continue.
- We can add zeros to continue the division if necessary: 715.0.
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Continue the division:
- 1000 goes into 715 zero times.
- Append a zero to make it 7150.
- Now, 1000 goes into 7150 seven times (because 1000 * 7 = 7000).
- Subtract 7000 from 7150: \[ 7150 - 7000 = 150 \]
- Append another zero, making it 1500.
- 1000 goes into 1500 one time (1000 * 1 = 1000).
- Subtract 1000 from 1500: \[ 1500 - 1000 = 500 \]
- Append another zero, making it 5000.
- 1000 goes into 5000 five times (1000 * 5 = 5000).
- Subtract: \[ 5000 - 5000 = 0 \]
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Resulting decimal: Collecting the results from the long division, we find:
- 6 (the first part before the decimal)
- 0 (from the first part after the decimal)
- 7 (next part after the decimal)
- 1 (next part after the decimal)
- 5 (next part after the decimal)
Thus, \( 6715 \div 1000 = 6.715 \).
Therefore, the correct answer is:
6.715