What are the multiplicative inverse and additive inverse in math?
The Multiplicative Inverse of a number 'a' is the number that 'a' needs to be multiplied by to give the Muliplicative Identity, 1. It is dentoed by \(\frac{1}{a}\) or \(a^{-1}\). For example the Multiplicative Inverse of 3 is \(\frac{1}{3}\) or \(3^{-1}\) because \(3\times\frac{1}{3}=1\).
The Additive Inverse of a number 'a' is the number that needs to be added to 'a' to give the Additive Identity, 0. It is dentoed by \(-a\). For example the Additive Inverse of 3 is \(-3\) because \(3+(-3)=0\).
Answer:
The opposite of a number is its additive inverse. A number and its opposite add to 0, which is the additive identity. ... The reciprocal of a number is its multiplicative inverse. A number and its reciprocal multiply to 1, which is the multiplicative identity