cardinal (1, 2, 3, ...) and ordinal (1st, 2nd, 3rd, ...)
or rational and irrational
A rational number can be expressed as a fraction
ex: 22/7 is roughly 3.14, very close to pi, but not pi which is still real but...
Irrational - it cannot be expressed in the form of a fraction, other Irrational Numbers: sqrt(2), e.
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Negative rational numbers; Negative real numbers; Rational numbers; Real numbers. The number also belongs to the set of complex numbers, quaternions and supersets.
Yes, square of 2 is a real number. Real numbers fall into 2 categories, Rational and Irrational. Square of 2 is an irrational number.
There are two real numbers and infinitely many complex numbers.
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
Real Numbers are said to be closed under addition because when you add two Real Numbers together the result will always be a Real Number.