real number

English

Noun

real number (plural real numbers)

1. (mathematics) The limit of a convergent sequence of rational numbers, whether the limit is a rational number such as 2, -5, or 2/7 or whether the limit is an irrational number such as the square root of two or the circumference of the circle whose radius is one.

   Every integer is a real number, but not vice versa.

   A real number can be regarded abstractly as an equivalence class of Cauchy sequences of real numbers.^WP

2. (computing) A floating-point number.

   Even if you pass sqrt an integer, it returns a real number.

Antonyms

• imaginary number

Hypernyms

• complex number

Hyponyms

• rational number
• irrational number

Derived terms

• real number line
• real number system

Translations

limit of a convergent sequence of rational numbers

• Afrikaans: reële getal (af)
• Armenian: իրական թիվ (irakan tʻiv)
• Catalan: nombre real m
• Chinese:

  Mandarin: 實數／实数 (zh) (shíshù)

• Czech: reálné číslo n
• Danish: reelt tal n
• Dutch: reëel getal n
• Esperanto: reela nombro (eo)
• Finnish: reaaliluku (fi)
• French: nombre réel (fr) m
• Georgian: ნამდვილი რიცხვი (namdvili ricxvi)
• German: reelle Zahl (de) f
• Greek: πραγματικός αριθμός (el) m (pragmatikós arithmós)
• Hungarian: valós szám (hu)
• Icelandic: rauntala f
• Irish: réaduimhir f
• Italian: numero reale (it) m
• Japanese: 実数 (ja) (じっすう, jissū)
• Kazakh: нақты сан (naqty san)
• Khmer: ចំនួនពិត (km) (cɑmnuən pɨt)
• Latvian: reāls skaitlis m
• Maori: tau tūturu
• Norwegian: reelt tall (no) n
• Polish: liczba rzeczywista (pl) f
• Portuguese: número real m
• Romanian: număr real (ro) n
• Russian: вещественное число́ (ru) n (veščestvennoje čisló), действительное число́ (ru) (dejstvitelʹnoje čisló)
• Serbo-Croatian:

  Cyrillic: реaлни брой m

  Roman: realni broj m

• Spanish: número real (es) m
• Swedish: reellt tal (sv) n
• Tagalog: bilang na tunay
• Telugu: వాస్తవ సంఖ్య (vāstava saṅkhya)
• Turkish: gerçek sayı (tr), reel sayı, gerçel sayı (tr)
• Vietnamese: số thực (vi) (數實)
• Welsh: rhif real m

floating-point number — see floating-point number

See also

• hyperreal number
• imaginary number
• surreal number
• transfinite number