ordered vs rational

ordered is not a noun while rational is a noun.

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

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

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