Non-Terminating, Non-Repeating Decimal

Definition

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.

Examples

Pi is a non-terminating, non-repeating decimal. π = 3.141 592 653 589 793 238 462 643 383 279 ...

e is a non-terminating, non-repeating decimal. e = 2.718 281 828 459 045 235 360 287 471 352 ...

Non-terminating, non-repeating decimals can be easily created by using a pattern. Some examples are listed below:

- 0.10100100010000100000100000010000000 ...
- 28.121122111222111122221111122222111111222222 ...