Is 6.2222 a rational number

Yes!!! Because it can be converted to a fraction.

However, is '6.2222' a terminal decimal or do you mean that it repeats to infinity.

If it repeast to infinity it shoulkd be written as '6.2222....' Note the three or more dots after the last decimal digits. This indiv=cates to mathematicians that the deimal 'repeats to infinity'.

In both cases they are RATIONAL numbers, because they can be both converted to a quotient/fraction.