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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 [tex]\frac{1}{a}[/tex] or [tex]a^{-1}[/tex]. For example the Multiplicative Inverse of 3 is [tex]\frac{1}{3}[/tex] or [tex]3^{-1}[/tex] because [tex]3\times\frac{1}{3}=1[/tex].

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 [tex]-a[/tex]. For example the Additive Inverse of 3 is [tex]-3[/tex]  because [tex]3+(-3)=0[/tex].

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

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