SOLUTION: How 1/i becomes i/(-1)?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: How 1/i becomes i/(-1)?      Log On


   

Question 989679: How 1/i becomes i/(-1)?
Found 3 solutions by josgarithmetic, jim_thompson5910, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fi

%281%2Ai%29%2F%28i%2Ai%29 Multiply top and bottom by i

i%2F%28i%5E2%29

i%2F%28-1%29 Use the idea that i%5E2=-1

-------------------------------------------------------

So 1%2Fi is equivalent to i%2F%28-1%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

How 1/i becomes i/(-1)?
It is through a process called: RATIONALIZING the denominator.