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Rational and Irrational Numbers are real numbers.
A complex number is represented by a+bi where a and b are real numbers.
Zero is a real number therefore any real number is also complex whenever b=0
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Is a number either a rational or an irrational?
No. There are numbers that are beyond real numbers, such as complex numbers which are neither rational nor irrational.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
If a number isn't a integer what is it?
It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.
Are there irrational numbers that are not rational?
All irrational numbers are not rational.
Are most numbers rational or irrational?
The set of irrational numbers is larger than the set of rational numbers, as proved by Cantor: The set of rational numbers is "countable", meaning there is a one-to-one correspondence between the natural numbers and the rational numbers. You can put them in a sequence, in such a way that every rational number will eventually appear in the sequence. The set of irrational numbers is uncountable, this means that no such sequence is possible. All rational and irrationals (ie real numbers) are a subset of complex numbers. Complex numbers, in turn, are part of a larger group, and so on.
