In mathematics, a

These descriptions of the

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**real number**is a value that represents a quantity along a continuum, such as -5 (an integer), 4/3 (a rational number that is not an integer), 8.6 (a rational number given by a finite decimal representation), âˆš2 (the square root of two, an irrational number) and Ï€ (3.1415926535..., a transcendental number).**Real numbers**can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced. Any**real number**can be determined by a possibly infinite decimal representation (such as that of Ï€ above), where the consecutive digits indicate into which tenth of an interval given by the previous digits the**real number**belongs to. The real line can be thought of as a part of the complex plane, and correspondingly, complex numbers include**real numbers**as a special case.These descriptions of the

**real numbers**are not sufficiently rigorous by the modern standards of pure mathematics. The discovery of a suitably rigorous definition of the**real numbers**â€” indeed, the realization that a better definition was needed â€” was one of the most important developments of 19th century mathematics. The currently standard axiomatic definition is that**real numbers**form the unique complete totally ordered field (R,+,Â·,<), up to isomorphism, whereas popular constructive definitions of**real numbers**include declaring them as equivalence classes of Cauchy sequences of rational numbers, Dedekind cuts, or certain infinite "decimal representations", together with precise interpretations for the arithmetic operations and the order relation. These definitions are equivalent in the realm of classical mathematics. Wikipedia - Real NumbersSee Also

**1.21 - It Really Is a Musical Universe****8.16 - Law of Corporeal Vibration****8.19 - Law of Corporeal Oscillations****10.02 - Reality vs Actuality****12.21 - Fibonacci Whole Numbers v Irrational Decimal near Equivalents****13.05 - Seven Levels Subdivisions Planes or Realms of Mind Matter and Energy****atomic number****cardinal number****Figure 2.16 - Alchemical Graphics showing Celestial and Terrestrial Realms****Figure 3.00 - Infinite Number of Atomoles or Alphanon filling all Space****Figure 10.02 - Illusion labeled and accepted as Reality****imaginary number****Indig Numbers****Law of Corporeal Oscillations****Law of Corporeal Vibrations****mass number****number****Oxidation Number****proton number****quantum number****reality****Sympsionics****Sympsionics Numbers****wave number**