What is negative inverse, positive inverse and multiplicative inverse?

- moongazer

What is negative inverse, positive inverse and multiplicative inverse?

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- schrodinger

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- anonymous

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

- moongazer

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

- anonymous

You are right moongazer. Makes more sense, thanks

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## More answers

- anonymous

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

- anonymous

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

- anonymous

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

- moongazer

That is what my teacher taught us.

- 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?

- anonymous

I haven't come across this terminology before.

- moongazer

i'll tell that to my teacher. :)

- moongazer

w8 I think my teacher is correct.

- moongazer

http://answers.yahoo.com/question/index?qid=20110627202533AAXK4By

- 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"

- moongazer

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

- anonymous

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

- anonymous

thanks (:

- anonymous

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

- anonymous

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

- moongazer

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

- moongazer

That's why I am getting confused about it.

- anonymous

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

- anonymous

a quick google search will turn up nothing.

- 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. :)

- anonymous

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

- anonymous

but that was only for multiplicative inverse not the others

- anonymous

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

- anonymous

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

- moongazer

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

- anonymous

Yeah I have never heard of negative inverse

- anonymous

maybe...

- pokemon23

satellite can you help asap

- pokemon23

not related to math

- anonymous

this link goes to this thread lol

- pokemon23

or anyone else

- pokemon23

help me :(

- anonymous

learn how to copy paste then we may help you...

- pokemon23

i think your right doodle

- 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

- 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

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