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MattL
09-11-2006, 09:24 PM
I upset one of the math teachers at our school today. I teach industirial tech to 7th and 8th graders. The year starts out with a mechanical drafting unit, we have been working on how to use a ruler. My list of project drawings requires the kids to convert decimal units to fractions so they can use our rulers. In going over this we use a conversion chart I got from my drafting book.
I remember as a kid that if you needed to round off a number, say to the nearest tenth, that if the 100's are 6 or greater you round up, 4 or less you round down. The problem is with 5, I was taught, and the drafting book supports that if the tenths are odd and the hundreths are 5 you round up. If the tenths are even you round down. I remember this as the way I learned it too, I was in science classes in college and I remember this there too.
Now it seems the rule in math classes is that if the 100s are 5 you round tenths no matter what. To me this is statistically wrong. What is the concensis here?

htom
09-11-2006, 09:42 PM
There won't be one.

You were taught -- and your old book teaches -- "even rounding" or "banker's rounding" or "statistical rounding".

The classes are teaching common rounding.

Yours is the way I do it; the cases where it is not better are few (and unlikely to be encountered in high school, unless the student is taking AP Math or AP Computer Science, in which case they can explain why even more complicated rounding methods are used!)

http://en.wikipedia.org/wiki/Rounding

http://mathworld.wolfram.com/RoundoffError.html