----- Original Message -----

From: "Thomas McGahee" <tom_mcgahee.....@spam@SIGMAIS.COM>

To: <@spam@PICLISTKILLspamKILLspamMITVMA.MIT.EDU>

Sent: Saturday, June 02, 2001 2:30 PM

Subject: Re: [OT]: Brain Burp Rounding??

{Quote hidden}> I really do not want to keep this discussion about .9 repeating

> being exactly equal to 1 going and going and going, but as

> an educator I really want to make sure that at least some of the

> PIC list members "get it".

>

> 9/9 is a RATIONAL number. It can be **represented** in decimal

> notation in (at least) two ways that LOOK different but have the same

> exact VALUE. These are 1.000 (with the zero repeating forever),

> and .999 with the 9 repeating forever. The mathematical difference

> between the two is .000 with the zero repeating forever.

Don't forget the 1 at position 'infinity + 1'

>

> This concept is difficult for some people to grasp at first,

> because .9999 (9 repeating) just LOOKS smaller than 1.0 (0 repeating).

It is.

>

> Looks can be VERY deceiving.

> 777/777 may **look** bigger than .001/.001 to some

> people, but believe me the VALUE is the same. 1.

In this I have no problem.

{Quote hidden}>

> Fr. Tom McGahee

>

> ----- Original Message -----

> From: Chris Carr <

spamnyedEraseMEspamBeGoneBTINTERNET.COM>

> To: <

PICLIST@spam@spam_OUTMITVMA.MIT.EDU>

> Sent: Saturday, June 02, 2001 2:47 PM

> Subject: Re: [OT]: Brain Burp Rounding??

>

>

> > > 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.

> > >

> > Now if I remember my maths correctly 0.9 repeating to infinity will

> > equal 1........but..........you can never reach infinity, you can only

> > "Approach Infinity". So whilst 0.9 repeating will get so mind boggling

> > close to 1

> > that an amoeba couldn't push his reproductive organ in the gap it will

> > never actually reach the point where it will equal 1.

> >

> > Chris Carr

> >

> > --

> >

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> >

> >

>

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