www.piclist.com/techref/index.htm?key=brain+burp+rounding

BY : Doug Joel email (remove spam text)

The there is .00001 difference between .99999 and

1.00000....

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

From: Thomas McGahee <spamtom_mcgaheeTakeThisOuTTakeThisOuTSIGMAIS.COM>

To: <TakeThisOuTPICLISTMITVMA.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

{Quote hidden}

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.

{Quote hidden}

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