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The simple answer is that they are two of the basic algebraic functions (along with exponentiation). Division and subtraction are just the opposites of these so are different.

Multiplication and addition are also similar because repeated addition is the same as multiplication (and repeated multiplication is exponentiation).

The full answer is part of what is known as Algebraic Fields and shows how these functions relate to each other and to different systems of number.

basically he said cuz they both increase the original value while division and subtraction decrease it

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Q: Why do multiplication signs and addition sign go together?
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