Express 8/11 as a repeating decimal, write where i should place the bar above to indicate it goes on forever.
To express 8/11 as a repeating decimal, we divide 8 by 11:
0.727272...
To indicate that the decimal goes on forever, we place a bar above the two repeating digits, which in this case is 72. Therefore, we write the repeating decimal as:
0.72¯¯¯¯¯¯
To express 8/11 as a repeating decimal, divide 8 by 11 using long division:
..0.7272..
11 | 8
-7
10
- 7
30
- 22
80
- 77
30
The remainder 30 repeats, so we can place a bar above the 30 to indicate that it goes on forever. Hence, 8/11 as a repeating decimal is 0.72̅72̅.
To express 8/11 as a repeating decimal, divide the numerator (8) by the denominator (11). To begin, place a decimal point after the 8: 8.
Next, divide 11 by 8. It won't divide evenly, so we need to add a zero after the decimal point in 8 and bring it down: 80. Now divide 11 into 80, which gives you 7 as the quotient. Subtract 77 from 80, which leaves 3. Add a zero to 3 and bring it down: 30. Divide 11 into 30, giving you 2 as the quotient. Subtract 22 from 30, which leaves 8. Lastly, add a zero to 8 and bring it down: 80. Divide 11 into 80 again, giving you 7 as the quotient. Continue this process, and you'll notice the remainder always repeats the same sequence of numbers: 7, 2, 8.
Thus, 8/11 expressed as a repeating decimal is 0.7272..., with the bar placed above the sequence of repeating digits, which is 72 in this case.