Question

How do you show the group of digits that repeat in a repeating decimal with the answer be by underlining them by putting a bar over them by putting them in parentheses or by printing them and italics?

Answer 1

In representing repeating decimals, there are several common methods to indicate the group of digits that repeat:

1. **Underline**: The repeating digits can be underlined. For example, if the repeating decimal is \(0.1666...\), you might write it as \(0.1\underline{6}\).

2. **Bar Over the Digits**: You can place a bar over the repeating digits. For the repeating decimal \(0.1666...\), it would look like \(0.1\overline{6}\).

3. **Parentheses**: Another method is to use parentheses to enclose the repeating digits. It would appear as \(0.1(6)\).

4. **Italics**: You can also italicize the repeating digits. This would give us \(0.1\textit{6}\).

Each of these methods is valid, and the choice may depend on context or personal preference. In mathematical writing, the bar notation is particularly common and widely recognized.