commutative property

property of binary operations, for which changing the order of the operands does not change the result
Thing mathematical_property Q165474
commutative property
File:Commutativity of binary operations.svg: Talonnn derivative work: Stephan Kulla (User:Stephan Kulla) · Public Domain · Wikimedia
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commutative property

Summary

commutative property is a mathematical property[1]. It draws 334 Wikipedia views per month (mathematical_property category, ranking #3 of 26).[2]

Key Facts

  • commutative property's image is recorded as Commutativity of binary operations (without question mark).svg[3].
  • commutative property's instance of is recorded as mathematical property[4].
  • commutative property's Commons category is recorded as Commutativity[5].
  • commutative property's Freebase ID is recorded as /m/01r0bt[6].
  • commutative property's described at URL is recorded as https://www.geeksforgeeks.org/maths/commutative-property/[7].
  • commutative property's described at URL is recorded as https://www.cuemath.com/numbers/commutative-property/[8].
  • commutative property's described at URL is recorded as https://sciencenotes.org/commutative-property-in-math-definition-and-examples/[9].
  • commutative property's described at URL is recorded as https://www.splashlearn.com/math-vocabulary/addition/commutative-property[10].
  • commutative property's described at URL is recorded as https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/[11].
  • commutative property's described at URL is recorded as https://www.math.net/commutative-property[12].
  • commutative property's described at URL is recorded as https://www.mathnasium.com/blog/commutative-property-guide[13].
  • commutative property's Gran Enciclopèdia Catalana ID is recorded as 0170047[14].
  • commutative property's Gran Enciclopèdia Catalana ID is recorded as 0267691[15].
  • commutative property's Gran Enciclopèdia Catalana ID is recorded as 0267698[16].
  • commutative property's described by source is recorded as Armenian Soviet Encyclopedia, vol. 11[17].
  • commutative property's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[18].
  • commutative property's used by is recorded as addition[19].
  • commutative property's used by is recorded as multiplication[20].
  • commutative property's defining formula is recorded as \forall x,y\colon x\star y=y\star x[21].
  • commutative property's MathWorld ID is recorded as Commutative[22].
  • commutative property's MathWorld ID is recorded as Commute[23].
  • commutative property's Treccani ID is recorded as commutativita[24].
  • commutative property's JSTOR topic ID is recorded as commutativity[25].
  • commutative property's Elhuyar ZTH ID is recorded as 133583[26].
  • commutative property's calculated from is recorded as binary operator[27].

Why It Matters

commutative property draws 334 Wikipedia views per month (mathematical_property category, ranking #3 of 26).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[28] It is known by 75 alternative names across languages and contexts.[29]

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] . Freebase Data Dumps. 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.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). commutative property. Retrieved May 3, 2026, from https://4ort.xyz/entity/commutative-property
MLA “commutative property.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/commutative-property.
BibTeX @misc{4ortxyz_commutative-property_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{commutative property}}, year = {2026}, url = {https://4ort.xyz/entity/commutative-property}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): commutative property — https://4ort.xyz/entity/commutative-property (retrieved 2026-05-03)

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