Mainly that in both cases, the numbers can be changed, in any order. This is related to the commucative property, as well as the associative property, which apply to both. - Also, in both cases there is a neutral element (0 for addition, 1 for multiplication).
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Provided the domains are defined in an appropriate manner, subtraction is the inverse operation of addition while division is the inverse operation of multiplication.
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addition
multiplication is repeated addition
MULTIPLICATION.!.?