Question

Which correctly uses bar notation to represent the repeating decimal for StartFraction 6 Over 11 EndFraction
0.5ModifyingAbove 4 with bar
0.54ModifyingAbove 54 with bar
0.ModifyingAbove 54 with bar
0.ModifyingAbove 545 with bar

Answer 1

To represent the repeating decimal for \( \frac{6}{11} \), we first perform the division:

When dividing 6 by 11, we get:

\[
\frac{6}{11} = 0.545454 \ldots
\]

The digits "54" repeat indefinitely. Using bar notation, we place a bar over the repeating digits.

From the options provided:

- **0.5ModifyingAbove 4 with bar**: This indicates that only the digit 4 is repeating, which is incorrect.
- **0.54ModifyingAbove 54 with bar**: This indicates that the digits "54" are repeating, which is correct.
- **0.ModifyingAbove 54 with bar**: This is not standard notation and is incorrect.
- **0.ModifyingAbove 545 with bar**: This indicates that the whole number "545" is repeating, which is incorrect.

Thus, the correct representation using bar notation is:

**0.54ModifyingAbove 54 with bar.**