To convert 2716 to a decimal using long division, we need to perform the division of 2716 by 1000, which gives us 2.716.
Here's how you can view it:
- Divide 2716 by 1000:
- 1000 goes into 2716 two times (2×1000=2000).
- Subtract 2000 from 2716, giving you 716 left.
- Bring down the decimal point.
- The next step is to consider how the tenths, hundredths, and thousandths work.
Continuing:
- To find the tenths, we treat the remaining 716 as 716.000 which allows us to keep dividing:
- 1000 goes into 716 zero times, so we put 0 after the decimal point.
- Next, examine 7160.
- 1000 goes into 7160 seven times (7×1000=7000).
- Subtract 7000 from 7160, giving us a remainder of 160.
- Now, bring down another zero (making it 1600).
Continuing the division:
- 1000 goes into 1600 one time (1×1000=1000).
- Subtract 1000 from 1600, giving us 600.
- Bring down another zero (making it 6000).
Next step:
- 1000 goes into 6000 six times (6×1000=6000).
- Subtract 6000 from 6000, which leaves a remainder of 0.
Therefore, the complete result of dividing 2716 by 1000 is 2.716.
Thus, the answer is C. 2.716.