RE: Rounding up to nearest 1000

Greg Fleming wrote on 10/11/2006 02:46:38 PM:

I'm trying that out using my trusty calculator, and I'm not ending up
with a round number.

Say I want to round 1461 up to the nearest thousand, which would be
2000.
So N is 1461 and S = 1000

Temp = 1461 + 1000/2
Temp = 1461 + 500
Temp = 1961
Result = (1961/1000) * 1000
Result = 1961 ? 

Did I do something wrong ? 

Yes:

|I think this has to use 'integer division' to work.

I no longer just _think_ that.  Thanks for confirming :)  When I say 
integer division - I mean that 1961 / 1000 = 1, not 1.961.  That is, 
ignore the remainder.

Therefore:

Temp = 1461 + 1000/2
Temp = 1461 + 500
Temp = 1961
Result = (1961/1000) * 1000

                 = ( 1 ) * 1000
                 = 1000


 Temp = 1561 + 1000/2
 Temp = 1561 + 500
 Temp = 2061
 Result = (2061/1000) * 1000
                 = ( 2 ) * 1000
                 = 2000

It even works for rounding to values that are not powers of ten.  For 
example, N = 19 and S = 15.

temp = 25 + 15/2
temp = 25 + (7)      - integer division!
temp = 32
result = (32 / 15) * 15
result = (2) * 15
resutl = 30

HTH,
Adam

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