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commutativity

Upper-Intermediate (B2)

IPA: /kəˌmjuːtəˈvɪti/

KK: /kəˌmjuːtəˈvɪti/

noun
Definition

The quality or property of a mathematical operation where the order of the numbers does not change the result.


Example

In mathematics, the commutativity of addition means that 2 + 3 is the same as 3 + 2.


Conversation
Sloth A
Have you ever heard about commutativity in math?
Sloth B
Yeah, isn't it the property that allows you to add or multiply numbers in any order?
Sloth A
Exactly! I always found it fascinating how it simplifies calculations.
Sloth B
Right? It makes everything so much easier when you understand it.

Synonyms & Antonyms
Synonyms
symmetry
interchangeability
reciprocity
Antonyms
asymmetry
noncommutativity
inequivalence
Root Explanation

Commutativity → It is formed from "com-" (meaning together) and "mutare" (meaning to change). The term refers to the property of certain operations where the order of the operands does not affect the result, thus indicating a change that can occur in any order.

Memory Tip

Think of 'together' ('com-') and 'change' ('mutare') to remember that commutativity means the ability to change the order without affecting the outcome.

Visually Confused Words
combativity
cogitativity
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