Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.
Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.
Multiplication is distributive over subtraction.
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Addition is the inverse operation to subtraction.
Subtraction
Subtraction can be seen as the inverse operation to addition.
addition
Subtraction and addition are not properties of numbers themselves: they are operators that can be defined on sets of numbers.