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What are the subsets of rational numbers?
natural numbers integers and whole numbers
Why are natural numbers whole numbers and integers all subsets of the set of rational numbers?
Because any natural number or whole number, n, can be expressed as a ratio of the two integers n and 1: in the form n/1. And integers are the same as whole numbers.
What are the subsets of a real numbers?
The set of real numbers is infinitely large, therefore it has an infinite amount of subsets. For example, {1}, {.2, 4, 800}, and {-32323, 3.14159, 32/3, 6,000,000} are all subsets of the real numbers. There are a few, important, and well studied namedsubsets of the real numbers. These include, but aren't limited to, the set of all prime numbers, square numbers, positive numbers, negative numbers, natural numbers, even numbers, odd numbers, integers, rational numbers, and irrational numbers. For more information on these, and other, specific subsets of the real numbers, follow the link below.
What are the subsets of real numbers?
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.
How can you represent how to set of whole numbers integers and rational numbers are related to each other?
Concentric circles. The set of whole numbers is a subset of the set of integers and both of them are subsets of the set of rational numbers.
