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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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Summary

commutative property is a mathematical property[1]. It draws 3,422 Wikipedia views per month (mathematical property category, ranking #3 of 26).[2]

Key Facts

  • Commons category: Commutativity[3]
  • Described at URL: https://www.geeksforgeeks.org/maths/commutative-property/[4], https://www.cuemath.com/numbers/commutative-property/[5], https://sciencenotes.org/commutative-property-in-math-definition-and-examples/[6], https://www.splashlearn.com/math-vocabulary/addition/commutative-property[7], https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/[8], https://www.math.net/commutative-property[9], https://www.mathnasium.com/blog/commutative-property-guide[10]
  • Described by source: Armenian Soviet Encyclopedia, vol. 11[11], Great Soviet Encyclopedia (1926–1947)[12]
  • Used by: addition[13], multiplication[14]
  • Calculated from: binary operator[15]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[16]
  • Maintained by WikiProject: WikiProject Mathematics[17]

Why It Matters

commutative property has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[18] It is known by 106 alternative names across languages and contexts.[19]

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.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . 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 October 16, 2026, from https://4ort.xyz/entity/commutative-property
MLA “commutative property.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 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: 2026-10-16}}
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 2026-10-16)

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