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 can perform long division.
0.7272...
11) 8.0000
-7 7
30
-22
80
-77
30
-22
80
-77
30
-22
The quotient is 0.7272..., and the cycle of repeating digits is 72. Therefore, 8/11 as a repeating decimal is 0.72¯¯¯ or 0.7272...
To express 8/11 as a repeating decimal, we can perform long division.
We start by dividing 8 by 11:
0.72
______________
11 | 8.000
-11
-----
90
-88
-----
20
-11
-----
90
-88
-----
20
...
We can see that the remainder 20 keeps repeating. Therefore, the decimal representation of 8/11 is 0.72, where the cycle of repeating digits is 72.