0.898989… rational or irrational

3 answers

The number 0.898989... is rational.

To determine if a number is rational, we need to check if it can be expressed as a fraction of two integers. In this case, we can represent the repeating decimal 0.898989... as the fraction 89/99. Since 89 and 99 are both integers, we can conclude that 0.898989... is rational.
is it a terminating or repeating or is it non perfect or perfect
The number 0.898989... is a repeating decimal.

In decimal notation, if there is a pattern of digits that repeats indefinitely, then the number is categorized as a repeating decimal. In the case of 0.898989..., the pattern "89" repeats infinitely.