What are the subsets of real numbers?

Answer 1

There are infinitely many subsets of real numbers. For example, {2}, {2, 3}, {2.3, pi, sqrt(37)}. It is, therefore, not possible to list them.

The main subsets of real numbers are the rational numbers and Irrational Numbers.

Irrational numbers can be split into transcendental numbers and polynomial roots.

Rational numbers contain the set of integers.

Integers contain the set of natural numbers.

Natural numbers contain the set of counting numbers.

Answer 2

Under real numbers there are rational and irrational numbers.

Under rational, there are integers and fractions.

Under integers, there are whole numbers, and then under whole numbers, there are natural numbers (counting numbers).

I think that's all.

Answer 3

There are infinitely many possible subsets.For example,

{}, {1}, {2}, {1, 2}, {3}, {1,3}, {2, 3}, {1,2,3} and so on. With n elements, you will have 2^n subsets. There are infinitely many positive integers, an equal number of negative integers, rational numbers, and a higher order of infinitely many irrational numbers in the set of Real numbers. So enumerating or even classifying the subsets is an infinitely huge task!

Answer 4

Rational Numbers, Irrational Numbers, Integers, Non-integral Rational Numbers,whole numbers, counting numbers.