An operation is commutative if a change in the order of the numbers does not change the results. This means the numbers can be swapped.
Numbers can be added in any order.
|For example:||4 + 5 = 5 + 4|
|x + y = y + x|
Numbers can be multiplied in any order.
|For example:||5 × 3 = 3 × 5|
|a × b = b × a|
Numbers that are subtracted are NOT commutative.
|For example:||4 – 5 ≠ 5 – 4|
|x – y ≠ y –x|
Numbers that are divided are NOT commutative.
|For example:||4 ÷ 5 ≠ 5 ÷ 4|
|x ÷ y ≠ y ÷ x|
The following table summarizes which number properties are applicable to the different operations:
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