10th vs tenth

10th is not a noun while tenth is a noun.

Word	Noun	Adjective	Verb	Adverb
10th	No	Yes	No	No
tenth	Yes	Yes	No	No

As adjectives, 10th and tenth are synonyms defined as:

10th and tenth: coming next after the ninth and just before the eleventh in position

10th (noun)	tenth (noun)
	a tenth part; one part in ten equal parts
	position ten in a countable series of things

10th (adjective)	tenth (adjective)
coming next after the ninth and just before the eleventh in position	coming next after the ninth and just before the eleventh in position