Question

Determine if 0.54856584337009... is rational or irrational and give a reason for
your answer.

Answer 1

With decimals, it comes down to:
Rational numbers will either repeat or stop.
Irrational numbers will not repeat and will not stop.

Your number is not stopping (because of the …) and there’s no clear repeating pattern show.

Since it’s not repeating and not stopping, it must be irrational.