According to Hannah 2.11 is a rational number.
According to Gus 2.11 is a repeating decimal.
Please see..
2.11 don't have more dots after two ones after decimal.
If it would be a repeating decimal, it should be look like this 2.11......
2.11 could be expressed as rational number 211/100.
Therefore, Hannah is absolutely correct by saying hat 2.11 is a rational number.