Re: [MATHEDCC] Standard form, et. al

Sounny Slitine (sslitine@ACCDVM.ACCD.EDU)
Tue, 03 Jun 1997 09:16:44

The 0 is Imaginary since 0i=i0=0 from its own property as the absorbant
element for the multiplication in any subset of the complex set. And as
the neutral element of the addition 0i + bi = (0+b)i = bi closure
bi + 0i = (b+0)i = bi and if b=0 then bi=0i=0
Thus 0 responds to the definition of element of the complex set and ,
therefore it can be considered as a pure Imaginary number.

At 07:10 AM 6/3/97, you wrote:
>>What is the difference between a complex number, an imaginary number and a
>>pure imaginary number. Somewhere I learned (but apparently in error) that
>> a + bi is a complex number. If a = 0 then the number is imaginary.
>>If b = 0 then it is a Real number.
>>
>>
>
>I learned basically the same thing. Every number is a complex number and
>the complex numbers can be split into two categories, Real and Imaginary
>(just as the Reals are either Rational or Irrational). However, I don't
>buy the "0 is Imaginary" argument. It is on the Complex Plane but it
>should be since the Reals are Complex.
>
>If I'm wrong, please set me straight since I teach this def. every quarter!
>
>Roberta
>
>____________________________________________________________
>Roberta S. Lacefield RSLace@mail.way.peachnet.edu
>Waycross College http://members.tripod.com/~Roberta/index.html
>2001 S. Georgia Pkwy (912) 285 - 6027
>Waycross, GA 31503 fax: (912) 287-4909
>
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"Thinking is the hardest work there is, which is the probable reason
why so few people engage in it."
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Sounny Slitine
epartment of Mathematics

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