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Question:

what is the additive inverse of 5 mod 14?

also, what is the multiplicative inverse and how do you find that?

Answer:

Additive Inverse Modulo
Additive inverse of 5 mod 14 = -5 mod 14 = 9 mod 14. Alternatively you know that by the definition of additive inverse they must add to zero and 5 + 9 = 0 mod 14. Multiplicative inverse is 1/5. I'm not sure that this can be expressed differently.

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