irrational number vs real

real vs irrational number

irrational number and real both are nouns.

irrational number is not an adjective while real is an adjective.

irrational number is not an adverb while real is an adverb.

Word	Noun	Adjective	Verb	Adverb
irrational number	Yes	No	No	No
real	Yes	Yes	No	Yes

As nouns, real is a hypernym of irrational number; that is, real is a word with a broader meaning than irrational number:

irrational number: a real number that cannot be expressed as a rational number
real: any rational or irrational number

Other hypernyms of irrational number include real number.

irrational number (noun)	real (noun)
a real number that cannot be expressed as a rational number	any rational or irrational number
	an old small silver Spanish coin
	the basic unit of money in Brazil; equal to 100 centavos

irrational number (adjective)	real (adjective)
	being or occurring in fact or actuality; having verified existence; not illusory
	of, relating to, or representing an amount that is corrected for inflation
	no less than what is stated; worthy of the name
	having substance or capable of being treated as fact; not imaginary
	capable of being treated as fact
	not to be taken lightly
	(of property) fixed or immovable
	being or reflecting the essential or genuine character of something
	coinciding with reality

irrational number (adverb)	real (adverb)
	used to give emphasis

Difference between irrational number and real

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