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[mathcad] Re: Rounding up/down error
| [mathcad] Re: Rounding up/down error |
|
Author: Colonna De Lega, Xavier
Posted: Thu, 17 Jul 2003 08:50:07 -0400
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> -----Original Message-----
> From: Steve Ellison />
> Sent: Thursday, July 17, 2003 05:42
> To: Mathcad Discussion List
> Subject: [mathcad] Re: Rounding up/down error
>
> The 'unexpectedness' arises partly because the round-toeven
> rule is relatively recent and rarely taght at school. Also,
> though, any rounding rules do odd things if you progressively
> round; 1.50 rounds to 2 under most rounding rules, but 1.49
> rounds correctly to 1.5 to two sig figs, and correctly to 1.0
> if rounded to one sig fig. Only if you incorrectly round
> first from 1.49 to 1.5 and then round 1.5 does is get
> inconsistent. Moral 1 - never round progressively!
I fully agree with your general statement. However, just to be picky, I
would rephrase the above sentence a little bit: "1.49 rounds correctly to
1.5 to two sig figs, and correctly to 1 if rounded to one sig fig".
Xavier
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