Real numbers can be classified into several categories: rational numbers, which can be expressed as a fraction of two integers (e.g., 1/2, -3), and Irrational Numbers, which cannot be expressed as simple fractions (e.g., √2, π). Additionally, real numbers can be divided into integers (whole numbers including negatives), whole numbers (non-negative integers), and natural numbers (positive integers). They can also be classified based on their decimal representation, with terminating or repeating decimals falling under rational numbers, while non-repeating, non-terminating decimals are categorized as irrational numbers.
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