Question

0.898989...

irrational square root of a nonperfect square
irrational terminating decimal
rational non-repeating /non-terminating decimal
irrational repeating decimal
irrational non-repeating/non-terminating decimal
irrational square root of a perfect square
rational square root of a nonperfect square
rational repeating decimal
rational terminating decimal
rational square root of a perfect square

Answer 1

The decimal \(0.898989...\) is a repeating decimal, which can be expressed as a fraction. Since it has a repeating part, it qualifies as a rational number.

To classify \(0.898989...\):
- It is **rational** because it can be expressed as a fraction (for example, \(0.898989... = \frac{89}{99}\)).
- It is a **repeating decimal** because the digits "89" repeat indefinitely.

Therefore, the correct classification for \(0.898989...\) is:

**rational repeating decimal**.