Express 8/11 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
To express 8/11 as a repeating decimal, we perform long division.
0.72
-------
11|8.00
11
20
11
90
88
--
20
The division does not terminate, and the remainder 20 repeats. Therefore, 8/11 as a repeating decimal is equal to 0.72 with a bar over the 0.
To express 8/11 as a repeating decimal, we divide 8 by 11:
__0.7272__
11 | 8.0000
- | ------
| 7
110 | - 77
- | ------
| 30
| - 22
| ---
| 80
| - 77
| ---
| 30
| - 22
| ---
| 80
As we can see, the remainder is 80. Since the remainder repeats after every 2 digits, we can mark the repeating cycle of digits as 72. Therefore, 8/11 as a repeating decimal is 0.72̅.