Floating-point precision problems





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1















Using Microsoft Excel 2010.



Why do these two formulae produce different results?



= (0.5 - 0.4 - 0.1)


produces -2.775E-17
while



= 0.5 - 0.4 - 0.1


produces exactly 0.



The only difference is in the brackets. Does Excel try to do clever things with floating-point numbers that it thinks should be a certain value instead of another value in order to hide the usual problems of binary floating-point and make it look as though it's using decimal arithmetic? Is this documented?










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  • 1





    Consider reading this: link.

    – Pspl
    Nov 16 '18 at 11:54






  • 2





    Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

    – Mark Dickinson
    Nov 16 '18 at 16:48











  • @MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

    – DodgyCodeException
    Nov 19 '18 at 9:37




















1















Using Microsoft Excel 2010.



Why do these two formulae produce different results?



= (0.5 - 0.4 - 0.1)


produces -2.775E-17
while



= 0.5 - 0.4 - 0.1


produces exactly 0.



The only difference is in the brackets. Does Excel try to do clever things with floating-point numbers that it thinks should be a certain value instead of another value in order to hide the usual problems of binary floating-point and make it look as though it's using decimal arithmetic? Is this documented?










share|improve this question


















  • 1





    Consider reading this: link.

    – Pspl
    Nov 16 '18 at 11:54






  • 2





    Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

    – Mark Dickinson
    Nov 16 '18 at 16:48











  • @MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

    – DodgyCodeException
    Nov 19 '18 at 9:37
















1












1








1


1






Using Microsoft Excel 2010.



Why do these two formulae produce different results?



= (0.5 - 0.4 - 0.1)


produces -2.775E-17
while



= 0.5 - 0.4 - 0.1


produces exactly 0.



The only difference is in the brackets. Does Excel try to do clever things with floating-point numbers that it thinks should be a certain value instead of another value in order to hide the usual problems of binary floating-point and make it look as though it's using decimal arithmetic? Is this documented?










share|improve this question














Using Microsoft Excel 2010.



Why do these two formulae produce different results?



= (0.5 - 0.4 - 0.1)


produces -2.775E-17
while



= 0.5 - 0.4 - 0.1


produces exactly 0.



The only difference is in the brackets. Does Excel try to do clever things with floating-point numbers that it thinks should be a certain value instead of another value in order to hide the usual problems of binary floating-point and make it look as though it's using decimal arithmetic? Is this documented?







excel floating-point precision






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Nov 16 '18 at 11:48









DodgyCodeExceptionDodgyCodeException

3,6571426




3,6571426








  • 1





    Consider reading this: link.

    – Pspl
    Nov 16 '18 at 11:54






  • 2





    Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

    – Mark Dickinson
    Nov 16 '18 at 16:48











  • @MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

    – DodgyCodeException
    Nov 19 '18 at 9:37
















  • 1





    Consider reading this: link.

    – Pspl
    Nov 16 '18 at 11:54






  • 2





    Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

    – Mark Dickinson
    Nov 16 '18 at 16:48











  • @MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

    – DodgyCodeException
    Nov 19 '18 at 9:37










1




1





Consider reading this: link.

– Pspl
Nov 16 '18 at 11:54





Consider reading this: link.

– Pspl
Nov 16 '18 at 11:54




2




2





Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

– Mark Dickinson
Nov 16 '18 at 16:48





Related: stackoverflow.com/q/36452194/270986, stackoverflow.com/q/40293983/270986. The answers to your last two questions appear to be (1) Yes, and (2) Not really, no.

– Mark Dickinson
Nov 16 '18 at 16:48













@MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

– DodgyCodeException
Nov 19 '18 at 9:37







@MarkDickinson thanks. I think those two linked posts together fully answer my question in a roundabout way.

– DodgyCodeException
Nov 19 '18 at 9:37














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