### Definition of Real number

1. Noun. Any rational or irrational number.

### Definition of Real number

1. Noun. (mathematics) An element of the set of real numbers.; the set of real numbers include the rational numbers and the irrational numbers, but not all complex numbers. ¹

2. Noun. (computing) A floating-point number. ¹

¹ Source: wiktionary.com

### Real Number Pictures

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### Lexicographical Neighbors of Real Number

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### Literary usage of Real number

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"In case either RI has a greatest number x, or R* has a least number x, the section is said to define a real number corresponding to the rational number x. ..."

2. Introduction to the Theory of Fourier's Series and Integrals by Horatio Scott Carslaw (1921)
"When the rational and irrational numbers are defined in this way, and together form the system of real numbers, the real number which corresponds to the ..."

3. Encyclopaedia Britannica: A Standard Work of Reference in Art, Literature (1907)
"The equation z'+1 — 0 is not (in the foregoing sense, number — real number) satisfied by any numerical value whatever of x ; but we assume ..."

4. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1886)
"Since every real number is merely a complex number whose imaginary part ... The. imaginary nth roots of any real number can be arranged in conjugate ..."

5. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"Since every real number is merely a complex number whose imaginary part vanishes, it follows that -every real number, whether positive or negative, ..."

6. The Number-system of Algebra: Treated Theoretically and Historically by Henry Burchard Fine (1890)
"Correspondence between the real number-System and the Points of a Line. Let a right line be chosen, and on it a fixed point, to be called the null-point; ..."

7. The American Mathematical Monthly by Mathematical Association of America (1922)
"A complex number s then defined as the sum of«a real number and an imaginary (or pure imaginary) one. real numbers are then not complex; yet the authors ..."