Answer: Rational
Step-by-step explanation: Since the decimal doesn't terminate which means it doesn't end, it could be an irrational number. However, notice that the 54 after the decimal point repeats and repeating decimals are rational numbers.
So 2.545454... must be rational.
If this was a non-terminating and non-repeating decimal, it would be an irrational number but the 54 repeats.