extrapolate vs mathematics

extrapolate is not a noun while mathematics is a noun.

Word	Noun	Adjective	Verb	Adverb
extrapolate	No	No	Yes	No
mathematics	Yes	No	No	No

extrapolate (noun)	mathematics (noun)
	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

extrapolate (verb)	mathematics (verb)
estimate the value of something based on known values
gain knowledge of (an area not known or experienced) by extrapolating
draw from specific cases for more general cases