Addition is not distrbutive over multiplication. In general,
a + (b*c) ≠(a+b)*(a+c) [unless a+b+c = 1]
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It means nothing, really. The distributive property is a property of multiplication over addition or subtraction. It has little, if anything, to do with integers.
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
The distributive property involves both a multiplication and an addition.