# Definition of repeating decimal and examples

A repeating decimal, also called recurring decimal, is a decimal number in which a digit or a set of digits repeats infinitely or without end.

For example, the decimal number 6.333333333  is a repeating decimal.

6.333333333 has only 1 digit that repeats infinitely and that digit is 3.

The decimal number 0.2525252525 has a set of two digits that repeats without end and the set is 25.

The decimal number 4.316316316316 has a set of three digits that repeats without end and the set is 316.

When writing a repeating decimal, a bar is usually placed over the repeating portion.

For example, you could write

6.333333333 as 6.3

0.2525252525 as 0.25

4.316316316316 as 4.316

## More examples of repeating decimals

Can you identify the repeating digit(s) for the following repeating decimals?

1) 0.071071071071

2) 45.4785478547854785

3) 0.068068068068

4) 12.701257012570125

5) 0.5001500150015001

Recognizing a repeating decimal can be tricky as you may have noticed with the five examples above.