---- Original Message -----
From: "Thomas McGahee" <tom_mcgahee@SIGMAIS.COM>
To: <PICLIST@MITVMA.MIT.EDU>
Sent: Saturday, June 02, 2001 11:19 AM
Subject: Re: [OT]: Brain Burp Rounding??


> Sigh.... I did not say .99999 I said .99999 REPEATING.
> As in **forever**.
>
> Do not get confused between the VALUE of a number and its
> representation. Whether you like it or not, mathematically the mumber
> 1 exactly equals .9 repeating. This is not a matter of personal
> opinion. It is simple mathematical fact.
>
> Fr. Tom McGahee

Yeah, thats the ticket.......  And infinity < 2*infinity.........


>
> ----- Original Message -----
> From: Doug Joel <doug_joel@TELUS.NET>
> To: <PICLIST@MITVMA.MIT.EDU>
> Sent: Friday, June 01, 2001 11:28 AM
> Subject: Re: [OT]: Brain Burp Rounding??
>
>
> > The there is .00001 difference between .99999 and
> > 1.00000....
> >
> >
> >
> > ----- Original Message -----
> > From: Thomas McGahee <tom_mcgahee@SIGMAIS.COM>
> > To: <PICLIST@MITVMA.MIT.EDU>
> > Sent: Friday, June 01, 2001 5:24 AM
> > Subject: Re: [OT]: Brain Burp Rounding??
> >
> >
> > > Sorry, but .99999 repeating is EXACTLY equal to 1.00000
> > >
> > > They are just two different ways of EXPRESSING the same
> > > number. Don't believe me? 1/9=.11111 repeating. 2/9=.22222
> > repeating.
> > > 3/9=.3333333 repeating. 4/9=.4444 repeating, 5/9=.55555
> > repeating.
> > > 6/9=.6666 repeating. 7/9=.7777 repeating. 8/8=.888
> > repeating.
> > > So 9/9=.99999 repeating. The "error" between .999
> > repeating and
> > > 1.000 (repeating, by the way!) is .0000 repeating. Get it?
> > >
> > > .999 repeating and 1.000 (repeating the 000 part) are
> > simply two
> > > different ways of EXPRESSING the value. They may LOOK
> > different,
> > > but mathematically the difference is ZERO.
> > >
> > > .999 repeating, 9/9, x/x (where x is non-zero), 1,  1.000
> > repeating
> > > all REPRESENT the same VALUE. One.
> > >
> > > Fr. Tom McGahee
> > >
> > > ----- Original Message -----
> > > From: Kevin Blain <kevinb@WOODANDDOUGLAS.CO.UK>
> > > To: <PICLIST@MITVMA.MIT.EDU>
> > > Sent: Friday, June 01, 2001 6:44 AM
> > > Subject: Re: [OT]: Brain Burp Rounding??
> > >
> > >
> > > > No it doesn't because 9/9 == 1, not 0.9(recurring) (and
> > 5/9 is not 0.2
> > > > recurring, but I guess that was a typo!)
> > > >
> > > > 4.99999999999 (repeating) is not equal to 5.00000000
> > (repeating), that's
> > > why
> > > > we have different numbers to express it. However,
> > 4.99999999999
> > > (repeating)
> > > > is nearly equal to 5
> > > >
> > > > This reminds me of the thing where :-
> > > >
> > > > - There is 1 cake
> > > > - Each person takes half of the amount of cake that is
> > left, indefinatly
> > > >
> > > > Therefore there is always some cake left......
> > > >
> > > > Regards, Kevin
> > > >
> > > >
> > > >
> > > > > 4.99999999999 (repeating) = 5.00000000 (repeating)
> > > > > Remember, repeating decimals are equal to an integer
> > divided by 9.
> > > > > 1/9 = 0.1(repeating)
> > > > > 2/9 = 0.2(repeating)
> > > > > 3/9 = 0.3(repeating) = 1/3
> > > > > 4/9 = 0.4(repeating)
> > > > > 5/9 = 0.2(repeating)
> > > > > 6/9 = 0.6(repeating) = 2/3
> > > > > 7/9 = 0.7(repeating)
> > > > > 8/9 = 0.8(repeating)
> > > > > 9/9 = 0.9(repeating) = 1
> > > > >
> > > > >
> > > > > Maybe this example will help illustrate the bias in
> > >=5 rounding versus
> > > > > odd/even rounding.
> > > >
> > > > --
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