commutative principle

[kə-ˈmyü-tə-tiv ˈprin-sə-pəl]
nounpl: commutative principles
princípio comutativo
1. A mathematical property stating that the order of operands does not change the result of an operation
The commutative principle of addition states that 2 + 3 equals 3 + 2.
O princípio comutativo da adição afirma que 2 + 3 é igual a 3 + 2.
2. Specifically applies to addition and multiplication in basic arithmetic and algebra
Students learn the commutative principle to understand that multiplication is not dependent on the order of factors.
Os alunos aprendem o princípio comutativo para entender que a multiplicação não depende da ordem dos fatores.
The commutative principle is a fundamental concept taught in Brazilian and American elementary mathematics curricula. It helps students develop algebraic thinking and understand that mathematical operations have consistent properties regardless of operand order. In both countries, this concept is introduced around 2nd-3rd grade and remains central to mathematical reasoning throughout secondary education.
Synonyms / Sinônimos
commutative propertycommutative lawlaw of commutativity
Antonyms / Antônimos
non-commutative property

Regional Variations

General Brazilian
princípio comutativo
Standard usage in mathematics education
São Paulo
princípio comutativo
Used in formal mathematical contexts
Portugal
propriedade comutativa
European Portuguese may prefer 'propriedade' over 'princípio'

Related Words

associative principledistributive principlemathematical propertyoperation
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