commutative
commutative — 形容詞
- commutativepositive
- more commutativecomparative
- most commutativesuperlative
1. used in mathematics for an operation where changing the order of two inputs stil
可交換的
運算次序互換，結果不變
used in mathematics for an operation where changing the order of two inputs still leaves the answer unchanged, as with 3 + 5 and 5 + 3.
In class, Amani showed that addition is commutative: 4 + 7 = 7 + 4.
Amani 在課堂上示範，加法是可交換的：4 + 7 = 7 + 4。
pattern: addition is commutative
Bao reminded the group that subtraction is not commutative.
Bao 提醒組員，減法不是可交換的。
contrast: subtraction is not commutative
Felipe checked each pair of numbers to see if the rule was commutative.
Felipe 逐一檢查每對數字，看這個規則是不是可交換的。
On the worksheet, Hui circled the commutative property beside the multiplication example.
在講義上，Hui 在乘法例子旁圈出了「可交換」這個性質。
After the quiz, Christopher asked whether the new operation was commutative.
考完小考後，Christopher 問這個新運算是不是可交換的。
- order-independent
plain-language explanation, not the usual formal textbook label
- abelian
used for groups and related structures, not for every operation
- non-commutative
standard mathematical opposite for an operation where order changes the result
- order-sensitive
plain-language opposite that explains the idea without the formal term
文法句型
[operation] is commutative
a commutative property
a commutative law
a commutative operation
用法筆記
Usually follows be or appears before nouns like property, law, and operation. Distinguish from associative: commutative asks whether you can swap the order, while associative asks whether you can change the grouping.