real number

noun

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.”

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Meanings

nounreal number (plural real numbers)

plural real numbers

  1. mathematicsThe 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.

    1 more example

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

  2. computingA floating-point number.

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

Synonyms & antonyms

nounany rational or irrational number

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Synonym sets from Open English WordNet, CC BY 4.0.

Translations

Afrikaans reële getal
  • reële getallimit of a convergent sequence of rational numbers
Bulgarian реа́лно число́
  • реа́лно число́ (reálno čisló)limit of a convergent sequence of rational numbers
Catalan nombre real
  • nombre reallimit of a convergent sequence of rational numbers
Chinese Mandarin 實數 /实数
  • 實數 /实数 (shíshù)limit of a convergent sequence of rational numbers
Czech reálné číslo
  • reálné číslolimit of a convergent sequence of rational numbers
Danish reelt tal
  • reelt tallimit of a convergent sequence of rational numbers
Dutch reëel getal
  • reëel getallimit of a convergent sequence of rational numbers
Esperanto reela nombro
  • reela nombrolimit of a convergent sequence of rational numbers
Finnish reaaliluku
  • reaalilukulimit of a convergent sequence of rational numbers
French nombre réel
  • nombre réellimit of a convergent sequence of rational numbers
German reelle Zahl
  • reelle Zahllimit of a convergent sequence of rational numbers
Greek πραγματικός αριθμός
  • πραγματικός αριθμός (pragmatikós arithmós)limit of a convergent sequence of rational numbers
Hindi वास्तविक संख्या
  • वास्तविक संख्या (vāstavik saṅkhyā)limit of a convergent sequence of rational numbers
Hungarian valós szám
  • valós számlimit of a convergent sequence of rational numbers
Icelandic rauntala
  • rauntalalimit of a convergent sequence of rational numbers
Irish réaduimhir
  • réaduimhirlimit of a convergent sequence of rational numbers
Italian numero reale
  • numero realelimit of a convergent sequence of rational numbers
Japanese 実数
  • 実数 (jissū)limit of a convergent sequence of rational numbers
Korean 실수
  • 실수 (silsu)limit of a convergent sequence of rational numbers
Latvian reāls skaitlis
  • reāls skaitlislimit of a convergent sequence of rational numbers
Māori tau tūturu
  • tau tūturulimit of a convergent sequence of rational numbers
Norwegian reelt tall
  • reelt talllimit of a convergent sequence of rational numbers
Polish liczba rzeczywista
  • liczba rzeczywistalimit of a convergent sequence of rational numbers
Portuguese número real
  • número reallimit of a convergent sequence of rational numbers
Romanian număr real
  • număr reallimit of a convergent sequence of rational numbers
Russian вещественное число́, действительное число́
  • вещественное число́ (veščestvennoje čisló)limit of a convergent sequence of rational numbers
  • действительное число́ (dejstvitelʹnoje čisló)limit of a convergent sequence of rational numbers
Spanish número real
  • número reallimit of a convergent sequence of rational numbers
Swedish reellt tal
  • reellt tallimit of a convergent sequence of rational numbers
Tagalog bilang na tunay
  • bilang na tunaylimit of a convergent sequence of rational numbers
Thai จำนวนจริง
  • จำนวนจริง (jam-nuuan-jing)limit of a convergent sequence of rational numbers
Turkish gerçek sayı, reel sayı
  • gerçek sayılimit of a convergent sequence of rational numbers
  • reel sayılimit of a convergent sequence of rational numbers
  • gerçel sayılimit of a convergent sequence of rational numbers
Vietnamese số thực
  • số thựclimit of a convergent sequence of rational numbers
Welsh rhif real
  • rhif reallimit of a convergent sequence of rational numbers
Cite this entry
APA

real number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/real%20number

MLA

“real number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/real%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “real number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/real%20number.

Source: real number on Wiktionary, CC BY-SA 4.0.