There are a finite number of numbers that we use in both mathematics and real-world situations. Several numbers can be used interchangeably (real numbers), while some have stringent rules and regulations (complex numbers).

  • Real numbers – numbers that can be identified on a number line and can be used to measure distance.
  • Complex numbers – numbers with both a real and imaginary component, therefore, cannot be identified on the number line.

It is important to be sure that each real number is correctly used. To properly use real numbers, a system identifies the properties of each type of number. This classification system is called the real number system.

The real number system is a system that separates all numbers into five categories.

  1. Rational numbers
  2. Integers
  3. Whole numbers
  4. Natural or counting numbers
  5. Irrational numbers


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