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Real Number

Real Number

Number that, when written in decimal notation, is an unlimited decimal sequence periodic or not.

Notations

  • The symbol that represents the set of real numbers is the letter R.
  • The symbol that represents the set of real positive numbers is: R+ = {x ∈ R | x ≥ 0}
  • The symbol that represents the set of real negative numbers is:R = {x ∈ R | x ≤ 0}
  • The symbol that represents the set of the non-zero real numbers is: R = {x ∈ R | x ≠ 0}
  • The symbol that represents the set of strictly positive real numbers is: R+ = {x ∈ R | x > 0}
  • The symbol that represents the set of strictly negative real numbers is: R = {x ∈ R | x < 0}

The set R of real numbers appears in this Venn diagram:

ensemble_de_nombres

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