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Using complete sentences, discuss the different kinds of real numbers. In your answer, give an example of each type and discuss which set each type belongs to.

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Real numbers include two main subsets. These sets are called irrational and rational numbers. Irrational numbers are numbers are numbers like
√(5) that can't be written as a simple fraction. Rational numbers can be written as fractions. One example would be
(2)/(3). Inside of rational numbers, some numbers like -2 are full numbers, both negative and positive. These are called integers. Whole numbers like 3 are a specific kind of integers, but the whole number set only contains positive numbers. Finally, inside whole numbers there are natural numbers like 2. The difference between whole numbers and natural numbers is that the natural numbers set does not include 0.

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