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Concept

Number Set

Listed below are some of the most significant number sets.
  • Natural Numbers, also called counting numbers, are the numbers used for counting. The set of natural numbers is denoted by
  • Whole Numbers are the natural numbers in addition to zero. The set of whole numbers is denoted by
  • Integer Numbers are the whole numbers in addition to their opposite. The set of integer numbers is denoted by
  • Rational Numbers are the numbers that can be expressed as the ratio between two integers. The set of rational numbers is denoted by
  • Real Numbers are the rational numbers, in addition to the numbers that cannot be expressed as the ratio between two integers. The set of real numbers is denoted by
  • Complex Numbers are the numbers that can be written in the form where and are real numbers, and is the imaginary unit. The real part of a complex number is and the imaginary part is The set of complex numbers is denoted by

Note that there are other significant number sets not shown in the Venn Diagram above, including:

  • Imaginary Numbers are numbers that can be written in the form where is any real number, is a non-zero real number, and is the imaginary unit. This set is represented with the symbol
  • Irrational Numbers are the real numbers that cannot be expressed as the ratio between two integers. The set of irrational numbers can be written as
  • Prime Numbers are the natural numbers that have exactly two factors: and themselves.

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