This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. 1.585 = 1585 / 1000) it may also be written as a ratio of the form k / 2 n5 m (e.g.

Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. The infinitely repeated digit sequence is called the repetend or reptend. At present, there is no single universally accepted notation or phrasing for repeating decimals. A more complicated example is 3227 / 555, whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence '144' forever, i.e.

For example, the decimal representation of 1 / 3 becomes periodic just after the decimal point, repeating the single digit '3' forever, i.e. all except finitely many digits are zero). It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. Not to be confused with continued fraction.ДЄ repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.

Another word for repeating situations