Is 2.01 a rational, integer, natural, irrational?

1 Answer
Jun 26, 2015

Answer:

So long as #2.01# is an exact value and not an approximation, then it is a rational number, being equal to #201/100#.

It is not an integer, natural number or irrational.

Explanation:

Natural numbers are the numbers #0, 1, 2, 3,...# or #1, 2, 3,...#. Some definitions include #0# and some don't.

Integers are whole numbers or negative versions of them, that is: #0, 1, -1, 2, -2, 3, -3,...#

Rational numbers are 'fractions' of integers. That is they are all the numbers of the form #p/q# where #p# and #q# are both integers and #q != 0#.

Irrational numbers are numbers which are not rational, that is they are not expressible as #p/q# for some integers #p# and #q# with #q != 0#.

#2.01# is rational because #2.01 = 201/100# and both of #201# and #100# are integers.