🧵 Untitled Thread
Anonymous at Tue, 14 May 2024 17:47:50 UTC No. 16175759
Does 8.445 round to 8 or to 9?
If 8, shouldn't the 5 in the thousandth decimal place round the 8.44 into an 8.45? And isn't 8.45 rounding up to 8.5? And doesn't 8.5 round up to 9?
If 9, isn't the distance to the 9 greater by 0.005? Why did it go to 9? Shouldn't it go to 8 if rounding means the number goes closer to the number it is near and not closer to the number it is furthest?
Anonymous at Tue, 14 May 2024 17:48:28 UTC No. 16175763
>>16175759
That's not how rounding works
Anonymous at Tue, 14 May 2024 17:49:03 UTC No. 16175766
>>16175763
Two different principles of rounding were addressed and asked about. Elaborate. That is how rounding works.
Anonymous at Tue, 14 May 2024 17:50:04 UTC No. 16175770
>>16175763
Then I assume you do know how rounding works? How do you round the number 8.445?
Anonymous at Tue, 14 May 2024 17:58:04 UTC No. 16175784
>>16175759
>Does 8.445 round to 8 or to 9?
8.
>If 8, shouldn't the 5 in the thousandth decimal place round the 8.44 into an 8.45? And isn't 8.45 rounding up to 8.5? And doesn't 8.5 round up to 9?
No, it should not, for the exact reasons you mentioned. Rounding is to the closest whole number (which is ambiguous for 8.5 exactly but unambiguous for 8.445), and the procedure you describe does not accomplish that, therefore it's the wrong procedure.
Anonymous at Tue, 14 May 2024 18:03:59 UTC No. 16175790
Rounding is done based on the # of sig. figures.
If 1, then you round the 2nd figure up/down. In this case, it would be 8.
If 2, then 8.4.
If 3, then 8.45
In any case, the first digit is 8.
Anonymous at Tue, 14 May 2024 18:12:13 UTC No. 16175801
>>16175759
8
You don't round each decimal iteratively, retard
Anonymous at Tue, 14 May 2024 18:13:37 UTC No. 16175805
>>16175759
Rounding is not associative.
/thread
Anonymous at Tue, 14 May 2024 18:19:50 UTC No. 16175821
>>16175759
It rounds to 10 actually since the 9 rounds to 10
Anonymous at Tue, 14 May 2024 18:32:20 UTC No. 16175834
>>16175759
0.555 > 0.445, ergo x is closer to 8 than to 9 and rounds to 8. End of story.
Anonymous at Tue, 14 May 2024 20:44:06 UTC No. 16176054
so then why was I taught that 8.5 rounds up to 9?
Anonymous at Tue, 14 May 2024 20:51:45 UTC No. 16176069
>>16176054
it's a convention, likely adopted for symmetry so that the the half open interval [n, n+1) is split into two half open intervals rather than one open and one closed.
Anonymous at Tue, 14 May 2024 22:27:12 UTC No. 16176272
>>16175821
kek
Anonymous at Tue, 14 May 2024 22:29:39 UTC No. 16176276
>>16175759
>As far as I’m concerned