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Set of numbers that includes the natural numbers?
Rational numbers, real numbers and complex numbers to start with. Also the set of all numbers.
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.
What numbers are in the set of natural numbers and which are in the set of whole numbers?
All of the natural numbers.
What do you call the set of all rational and irrational numbers?
real numbers
The set of rational numbers include all fractions?
Yes. All rational numbers can be changed into fraction form, while all numbers that can't are irrational.
