To show the group of digits that repeat in a repeating decimal, you typically use a bar notation, also known as a vinculum.
For example, let's say you have the repeating decimal \(0.666...\). You would indicate the repeating digit by placing a bar over the digit that repeats:
\[ 0.\overline{6} \]
If a decimal has a more complex repeating sequence, like \(0.123123...\), you would indicate the repeating portion with a bar over the entire repeating sequence:
\[ 0.\overline{123} \]
This notation clearly shows which digits repeat indefinitely. If the decimal has both a non-repeating and a repeating part, such as \(0.1\overline{23}\), where "1" is the non-repeating part and "23" is the repeating part, you would write it as:
\[ 0.1\overline{23} \]
This way of presenting repeating decimals helps to clearly communicate which digits are part of the infinite repetition.
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