Re: On the muliplication of negative numbers
- From: papa_rios@xxxxxxxxxxx
- Date: Sun, 27 Jul 2008 14:47:05 -0700 (PDT)
On 27 jul, 17:29, "Spaceman" <space...@xxxxxxxxxxxxxxxxxxxxxxxxxx>
wrote:
Uncle Ben wrote:
Consider 5 * 5 = 25. If one is silly enough to write 5 as 6+(-1), one
would have
(6+(-1))*(6+(-1)).=25
By the distributive law, one could expand that to
6*6 + 6*(-1) + (-1)*6 + (-1)*(-1) = 25
We all agree that 6*6=36. Now 6*(-1) = (-1)+(-1)+(-1)+(-1)+(-1)+(-1)
which reasonable people will agree amounts to -6. Similarly (-1)*6
= -6 again. So far, we have
25 = 36 +(-6) + (-6) + (-1)*(-1)
or
25 = 24 + (-1)*(-1)
which shows that (-1)*(-1) = 1. Ta-dah!
As a gift, we get sq.rt.(1) = -1, Of course we already knew that
1*1=1, so we have discovered by this simple and obvious means that
numbers can have two different square roots.
sq.rt.(16) = 4 or -4.
Very nice.
and of course that is what is taught in school and everyone
including me accepts such.
but..
Now try and think this way if you dare. (or you can just
"keep your rule" and forget alternate thoughts completely.)
Here is a different way to look at it.
Here is a simple number line but instead of negatives
we are going to use left and right.
l | | | | | | | | | | 0 | | | | | | | | | | r
There is no "negative" now.
Do you say that l*l = r^2?
and r*r also = r^2
Or would you treat r as the negative side and say
that r*r = l^2 and l*l=l^2?
anyways,
It is really sad that a different thought method
can have so many assholes telling me I do not know
basic math even though I know all about the basics
of -1*-1 = 1
(the multiplication of negatives as taught in school)
So,
Can you tell me what side is "truly" negative?
the left side, or the right side?
Or will you again just blab about "what is taught
and refuse to "think about other methods" at all
:)
--
James M Driscoll Jr
Creator of the Clock Malfunction Theory
Spaceman
You know nothing about logic, so whatever you say will logically be
wrong just because you are saying it!.
To discuss your insane example, first you have to clearly state:
a) What is the definition of right (r) and left (l).
b) What is the definition of 0.
c) What is the definition of the markings "|" and what level of
rightness of leftness means, for instance two marks.
So you see, unless you clearly state your problem asking for r*r is
nonsense.
Grow up! ilogical child
Miguel Rios
.
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