IEVref: 102-02-05 ID: Language: en Status: Standard Term: real number Synonym1: Synonym2: Synonym3: Symbol: Definition: element of the unique totally ordered set consisting of the rational numbers and all limits of infinite sequences of rational numbers, with the same operations as for rational numbersNote 1 to entry: The rational numbers are also real numbers. Irrational numbers, i.e. real numbers other than rational numbers, are for example $\sqrt{2}$ = 1,414 2..., π = 3,141 5..., e = 2,718 2... For such numbers, the sequence of digits after the decimal sign is infinite without any periodic repetition. Note 2 to entry: The set of real numbers is denoted by ℝ (R with left vertical bar and right part doubled), or R, or sometimes R with left vertical bar doubled. This set without zero is denoted by an asterisk to the symbol, for example ℝ*. Publication date: 2008-08 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: