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# How do you find the additive and multiplicative inverse of 8?

Sep 29, 2017

See a solution process below:

#### Explanation:

The additive inverse (let's call it $a$) is the number added to $8$ in this problem which will equal $0$. Or,

$8 + a = 0$

$a = - 8$

The additive inverse of $8$ is: $- 8$

The multiplicative inverse (let's call it $m$) is the number multiplied to $8$ in this problem which will equal $1$. Or,

$8 \times m = 0$

$m = \frac{1}{8}$

The multiplicative inverse of $8$ is: $\frac{1}{8}$

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