David W. Gulley wrote:

{Quote hidden}>

> Roman Black wrote:

> >

> > Hi Michael, yep, darn right, half the people in

> > the world (including me!) have been rounding wrongly

> > their entire lives. Very scary. There is and can only

> > be one correct way of rounding decimal numbers...

> >

> > Here is an example, assuming rounding to 3 decimal

> > places, that is 1000 combinations, from 000 to 999.

> >

> > 000 to 499 (first half), 500 to 999 (second half).

> > There are the first 500 combinations in the first

> > half, and the second 500 combination in the second

> > half.

> >

> > All my life I have been rounding at 555, under the

> > false impression that 5 is "half way" in decimal

> > terms... Wow.

> >

> > I asked my 26 yr old science-degreed girlfriend how

> > to round and she looked at me like I was stupid.

> > "5 or more, round up". She was taught correctly.

> >

> > Now I'm wondering if it is mainly us old-timers

> > from the dawn of pocket calculators age that were

> > taught wrong?? Any thoughts, older people??

> >:o)

> > -Roman

>

> Cept for one minor detail,

>

> There are 999 values BETWEEN 0 and 1000.

> 500 IS the halfway point.

> 500 values below it (0 - 499) and

> 500 values above it (501 - 1000).

No, actually 4.99999999999 (repeating) is the

half-way point.

5.0 is definitely in the top half.

Decimal has ten digits, 0-4 are the bottom 5 and

5-9 are the top 5. Anything under 500 is the

bottom half, and anything from 5.0 up is the

top half. Nothing debatable about it, just like

0-127 is the bottom half and 128-255 are the

top half in binary. :o)

-Roman

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