rational vs ordered

rational is a noun but ordered is not a noun.

Word	Noun	Adjective	Verb	Adverb
rational	Yes	Yes	No	No
ordered	No	Yes	No	No

rational (noun)	ordered (noun)
an integer or a fraction

rational (adjective)	ordered (adjective)
consistent with or based on or using reason	having a systematic arrangement; especially having elements succeeding in order according to rule
capable of being expressed as a quotient of integers	disposed or placed in a particular kind of order
having its source in or being guided by the intellect (as distinguished from experience or emotion)	marked by an orderly, logical, and aesthetically consistent relation of parts
of or associated with or requiring the use of the mind