Re: Why?

*To*: mathgroup at smc.vnet.net*Subject*: [mg110006] Re: Why?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Fri, 28 May 2010 07:22:58 -0400 (EDT)

Precision[1.000000000000000000000001] 24. If you want precision to 60 digits then all numbers used must be at least that precise. N[1000000000000000000000001*^-24 - 1, 60] 1.00000000000000000000000000000000000000000000000000000000000*10^-24 Precision[%] 60. 1.000000000000000000000001`60 - 1 1.00000000000000000000000000000000000*10^-24 Precision[%] 36. Bob Hanlon ---- Alexey <lehin.p at gmail.com> wrote: ============= Hello, Consider the following: In[1]:= N[1.000000000000000000000001 - 1, 60] Out[1]= 0.*10^-24 I can not understand why this happens. Can anyone explain the reason? What is about "arbitrary precision arithmetics"?