Commutative

B2 16+

Pronunciation: /kəˈmjuːtətɪv/

Definitions of commutative

adjective relating to or involving exchange or substitution of two mathematical quantities so that the result is the same regardless of the order in which the quantities are taken

Example Sentences

A1 Addition is a commutative operation, which means the order of numbers does not change the result.

A2 In basic algebra, students learn about commutative properties of addition and multiplication.

B1 The commutative property of multiplication states that changing the order of factors does not change the product.

B2 When working with matrices, it is important to understand the commutative properties of addition and multiplication.

C1 Advanced mathematicians often study commutative algebra, which deals with structures that satisfy the commutative property.

C2 In abstract algebra, commutative rings are a fundamental concept that plays a key role in various mathematical theories.

Examples of commutative in a Sentence

formal In mathematics, addition is a commutative operation, meaning the order of the numbers does not affect the result.

informal When adding numbers, it doesn't matter which one you start with because addition is commutative.

slang Dude, you can switch the numbers around when adding them - it's commutative!

figurative Just like how rearranging the order of ingredients in a recipe doesn't change the final dish, addition is commutative in math.

Grammatical Forms of commutative

past tense

commuted

plural

commutatives

comparative

more commutative

superlative

most commutative

present tense

commute

future tense

will commute

perfect tense

have commuted

continuous tense

is commuting

singular

commutative

positive degree

commutative

infinitive

to commute

gerund

commuting

participle

commuting

Origin and Evolution of commutative

First Known Use: 0015 year
Language of Origin: Latin
Story behind the word: The word 'commutative' originated from the Latin word 'commutativus', which is derived from the verb 'commutare' meaning 'to change or exchange'.
Evolution of the word: Originally used in mathematics to describe operations that can be done in any order without affecting the result, the term 'commutative' has since been adopted in various fields such as economics, linguistics, and philosophy to denote the property of interchangeability or exchangeability.