" why do you think we round up when a 5 is the next digit to the right of the place in witch we are rounding ? "
i'm guessing it has something to do with numbers starting out at zero ?
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" why do you think we round up when a 5 is the next digit to the right of the place in witch we are rounding ? "
i'm guessing it has something to do with numbers starting out at zero ?
0.5 is the same as one-half. If you are walking home from school and you are one-half of the distance to your home when it starts to rain, would you keep going home or turn around and head back to school?
i still don't understand the reason for rounding up when its at 5, infact i don't understand the reasoning for rounding at all since if you didn't round you would have a more accurate number i would think...
Do you think it would be reasonable to give everytime all the numbers in pi for example?
One other thing... when you take a reading, you always take it to the nearest reading you can measure. If the exact length of something was 1.0652 cm, you will only be able to measure a length of 1 cm with a common ruler.
Rounding off is a means to simplify numbers and remove unnecessary details. This eases work. Where some accuracy is required, then you don't round off.
why do we round up at 5 why not down ?Quote:
Originally Posted by Unknown008
I think it's just convention.
Here;s my justification.
When rounding a number, the critical digit can be any of ten digits:
. . .
It seems "fair" that half of them round-down and the other half round-up.
. . .