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What is the common way to round up this number? 
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#1
Feb2213, 11:17 PM

P: 190

0.444448
I want 4 digits. Is it 0.4444 or is it 0.4445 because I say "since the next one becomes 5 because of the 8 then I consider the previous one a 5 as well"? 


#2
Feb2213, 11:23 PM

P: 446

It is less than halfway between 0.4444 and 0.4445 so you should not round up.



#3
Feb2213, 11:26 PM

P: 190

edit: Also I'm not sure what 'less that halfway' means (in this context). 


#4
Feb2213, 11:28 PM

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P: 12,873

What is the common way to round up this number?
The rule is to round to the value that the number is closest to.
0.4444 <<<< round down value 0.444448 <<<< the number being considered 0.44445 <<<< halfway mark (thanks DrewD) 0.4445 <<<< round up value 0.444448 is closer to 0.4444 than it is to 0.4445 so you round down. This is why the ruleofthumb is that you only need to consider the next digit along when rounding. 


#5
Feb2213, 11:56 PM

P: 1,067

This is also the reason you don't want to round "along the way" in your calculations. You try to do all of your rounding at the end, otherwise multiple roundings can compound and give you the wrong answer like they did here.



#6
Feb2313, 12:59 AM

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P: 11,777




#7
Feb2313, 01:49 AM

P: 190

Ah thanks, I get it now. I should be thinking "it's 0.4444 because the 48 that follows is still lower than 50".



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