## moongazer 4 years ago What is negative inverse, positive inverse and multiplicative inverse?

1. anonymous

negative inverse eg -5 is +5, positive inverse eg 2 is -2 and multiplicative inverse eg 7 is 1/7

2. moongazer

I think negative inverse is -5 ->1/5

3. anonymous

You are right moongazer. Makes more sense, thanks

4. anonymous

so is the positive inverse the same as the multiplicative inverse?

5. anonymous

i'm a little rusty on these definitions. does anyone else have any input?

6. anonymous

i think this is non-standard terminology "negative inverse" but my guess would be "negative reciprocal" $m, -\frac{1}{m}$

7. moongazer

That is what my teacher taught us.

8. anonymous

then again i could be totally wrong. because later the question says "multiplicative inverse" so maybe it is what zed wrote. is this the whole question?

9. anonymous

I haven't come across this terminology before.

10. moongazer

i'll tell that to my teacher. :)

11. moongazer

w8 I think my teacher is correct.

12. moongazer
13. anonymous

if you have an operations $\oplus$ with identity $e$ then the inverse of an element $x$ is the unique element $x'$ with $x\oplus x'=x'\oplus x=e$ there is no such thing as a "negative inverse"

14. moongazer

look at that. I think we just have different kinds of terminologies. :)

15. anonymous

ohh i wasn't saying your teacher was wrong just that i haven't seen this before

16. anonymous

thanks (:

17. anonymous

ok well if you weren't saying it, i was

18. anonymous

there is a "negative reciprocal" but not a "negative inverse" the more i think about it, the less sense it makes

19. moongazer

Which do you think is proper "negative inverse" or "negative reciprocal"?

20. moongazer

That's why I am getting confused about it.

21. anonymous

interesting satellite. i seem to be getting more confused as well. i don't like the words

22. anonymous

a quick google search will turn up nothing.

23. moongazer

I'll just ask my teacher if negative reciprocal is the same as negative inverse. If it is, I would chose the term negative reciprocal. :)

24. anonymous

i was able to find http://en.wikipedia.org/wiki/Multiplicative_inverse which interchanged inverse and reciprocal

25. anonymous

but that was only for multiplicative inverse not the others

26. anonymous

there is "additive inverse" multiplicative inverse and then something totally different negative correlation inverse correlation but no "negative inverse"

27. anonymous

yes even wiki hasn't heard of "negative inverse' maybe your teacher made it up one evening

28. moongazer

Maybe during the time of my teacher they call negative reciprocal as negative inverse.

29. anonymous

Yeah I have never heard of negative inverse

30. anonymous

maybe...

31. pokemon23

satellite can you help asap

32. pokemon23

not related to math

33. anonymous

34. pokemon23

or anyone else

35. pokemon23

help me :(

36. anonymous

37. pokemon23
38. pokemon23

39. anonymous

Maybe the teacher was talking about the additive inverse, which the additive inverse is the negative . The additive inverse of 3 is -3, and the negative inverse of -3 is the positive 3

40. anonymous

never heard of negative or positive inverse. the inverse element postulates of addition and multiplication are additive inverse and multiplicative inverse/reciprocal additive inverse is the opposite of a number such that the sum = 0 a + -a or 1/a + -1/a or -a + (+a) ... multiplicative inverse such that the product = 1 a * 1/a