irrational number

real number that cannot be expressed as a ratio of integers
Thing type_of_number Q607728
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irrational number

Summary

irrational number is a type of number[1]. It draws 2,308 Wikipedia views per month (type_of_number category, ranking #5 of 30).[2]

Key Facts

  • irrational number's instance of is recorded as type of number[3].
  • irrational number is a type of number with infinite decimal representation[4].
  • irrational number is a type of real number[5].
  • irrational number is part of set of irrational numbers[6].
  • irrational number's Commons category is recorded as Irrational numbers[7].
  • irrational number is the opposite of rational number[8].
  • irrational number's topic's main category is recorded as Category:Irrational numbers[9].
  • irrational number's topic has template is recorded as Template:Irrational number[10].
  • irrational number's different from is recorded as set of irrational numbers[11].
  • irrational number's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[12].
  • irrational number's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

irrational number's instance of is recorded as type of number[3]. Recorded subclass of include number with infinite decimal representation[4] and real number[5]. It is the opposite of rational number[8].

Use and Application

irrational number is part of set of irrational numbers[6].

Why It Matters

irrational number draws 2,308 Wikipedia views per month (type_of_number category, ranking #5 of 30).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[14] It is known by 12 alternative names across languages and contexts.[15]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). irrational number. Retrieved May 3, 2026, from https://4ort.xyz/entity/irrational-number
MLA “irrational number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/irrational-number.
BibTeX @misc{4ortxyz_irrational-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{irrational number}}, year = {2026}, url = {https://4ort.xyz/entity/irrational-number}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): irrational number — https://4ort.xyz/entity/irrational-number (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/irrational-number · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 18h ago · Twofivesixbot bot · 2026-05-20 view diff on Wikidata ↗
    Image Irrational numbers-7.png
    "/* wbsetclaim-update-qualifiers:1||1|4 */ [[Property:P2347]]: 4228, mv to monolingual text names on YSO statements"
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