How do you show the group of digits that repeat in a responding decimal
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.
To show the group of digits that repeat in a decimal, you can use brackets or a horizontal line over the repeating digits. Here's an example:
Let's say we have the decimal 0.333333...
To show the repeating digits, we can use brackets and write it as 0.[3].
Alternatively, we can use a horizontal line over the repeating digits and write it as 0.3̅.
Both notations indicate that the digit 3 repeats indefinitely.