How do you find the additive and multiplicative inverse of -10?

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Answer 1 · 2017-03-26T19:40:36

Additive inverse, $+10$
Multiplicative inverse, $-1/10$

For a number $a$ , it's multiplicative inverse $b$ is such that $a*b = 1$ which is the multiplicative identity.

For a number $a$ , it's additive inverse $c$ would be such that $a + c = 0$ where $0$ is additive identity.

Thus, for $a = -10$
It's additive inverse be $c$ .

Then $-10 + c = 0$

Now, adding $10$ to both sides,

$c = 10$ .

Let the multiplicative inverse be $b$ .

Then $a*b = 1$
$implies -10*b = 1$

Multiplying both sides with $-1/10$

$b = -1/10$