How do you show the group of digits that repeat in a responding decimal

Answer 1

To show the group of digits that repeat in a recurring decimal, mathematicians use a notation called a bar notation or a vinculum. The repeated block of digits is placed over a horizontal line or a bar. The length of the bar indicates the number of repeating digits.

For example:
1. 0.3333... is represented as 0.3̅.
2. 0.142857142857... is represented as 0.142̅857̅.

By placing the bar above the repeated digits, it becomes clear which part of the decimal sequence repeats infinitely.