Nonterminating decimal

A nonterminating decimal is a decimal that goes on without end. Said differently, when a fraction is expressed in decimal form, but always has a remainder regardless how far the division process is carried through, the resultant decimal is a nonterminating decimal.

There are also repeating nonterminating decimals, where after a certain point, the one or more of the values repeat.

Examples

  1. may be written as the decimal fraction 0.3. The bar indicates that the 3 continues to repeat itself indefinitely. 0.3 or 0.333... is a nonterminating decimal.
  2. may be written in decimal form as 0.27. In this decimal, the 27 repeats. 0.27 or 0.2727... is a nonterminating decimal

See also terminating decimal.