## nanag 3 years ago find the additive inverse (opposite) of 18/23

1. theEric

Additive inverse is just the number you have to add to get 0, right? Well, you can solve for it, but pretty soon you'll just be seeing that it's very simple to do. $\frac{18}{23} + t_{additiveInverseNumberYouWant}=0$

2. countonme123

23/18 = 1 and 5/18

3. theEric

That's the reciprocal, @countonme ! :)

4. theEric

@countonme123 *

5. countonme123

6. vikrantg4

it would be -18/23

7. theEric

No problem! So many words in math.. You wouldn't think it right away. But there are.

8. theEric

vikrantg4 is right.

9. theEric

18/23 + number = 0 So number = 0 - 18/23 = -18/23. And it's always true that the additive inverse of a number will always be it's negative. "additive inverse property" means that you can add the negative of a number, to that number, to get 0.

10. theEric

In case you want to see that it is ALWAYS true, here you go. x + number = 0 number = 0 - x = -x. That's it, simply. Or, x + (-x) = 0. See, x is opposite of -x - and that's ANY x; so it's proved.