Express 8/11

Question

as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)

Answer 1

To express \( \frac{8}{11} \) as a repeating decimal, you can perform long division.

1. Divide 8 by 11.
2. 11 goes into 80 seven times (since \( 11 \times 7 = 77 \)), leaving a remainder of 3.
3. Bring down a 0 to make it 30. 11 goes into 30 two times (since \( 11 \times 2 = 22 \)), leaving a remainder of 8.
4. Bring down a 0 to make it 80 again. This process will repeat from here.

Thus, the decimal representation of \( \frac{8}{11} \) is:

\[ 0.\overline{72} \]

In this notation, the repeating part (72) is indicated by the bar over it.