Why do we round 5 up?
Magnets.
[0 1 2 3 4] [5 6 7 8 9]
because its in the second half of base 10 digits
>>7945640
/thread
>>7945640
Why doesn't 0 come after 9?
>>7945655
Because 9>0.
>>7945634
Actually this is a good question. You shouldn't always round up on 5.
In some countries they are taught a different and probably fairer system: You round up if the next digit is even, down if the next digit is odd.
Other way to do it exist, ie randomly rounding up or down, but you get the point.
can one round up in binary?
go to google
type in 5
search images
>>ha ha storefront time
>>7945688
Curious as to why they tell you to roundup if even down if odd.
What's the practicality of 1.32≈1.40 as opposed to 1.30?
>>7945688
This was the policy of some of my professors in America. I don't really see how it makes a difference if you round to even. It seems you still have the same error in rounding.
>not rounding up at [math]\sqrt{10}[/math]
>>7945821
Physics student here.
I have really only used rounding with margins of error and error should always estimated upwards.
Also it might just be easier to remember to always round up.
>>7945640
TIL this
>>7945640
No it's not
[1 2 3 4 5] [6 7 8 9 0]
>>7945821
Only the 5. So 1.32 = 1.3, but 1.35 = 1.4 and 1.45 = 1.4
It's because .0 is exact, there is nothing to round. As such you have 4 numbers to round down (1, 2, 3 and 4) and 5 to round up (5, 6, 7, 8, 9) with the normal system. This gives a slight bias to higher numbers.
Here's an easy example:
The mean of 2.5 and 3.5. That's obviously 3.0 if you are exact.
If you round everything traditionally, it is the mean of 3 (2.5) and 4 (3.5), which would be 3.5. Or, if you round that value again, it is 4.
With rounding to evens it is mean of 2 (2.5) and 4 (3.5), which is 3.0.
>>7946366
So 20 to the nearest 10 is 30?
>>7946366
lol I really want to see you work an example to highlight the difference
>>7945688
>In some countries they are taught a different and probably fairer system: You round up if the next digit is even, down if the next digit is odd.
The Perl language does this.
