...
Calculators typically use base 10 calculations, computers typically
employ base 2. In base 2 the numbers here can't be represented
exactly because each term in the binary sequence (1/(2^n)) can only
get arbitrarily close to the number. In base 10 the number can be
represented exactly.
...
Further, I belive that, given an exact fraction in base 2, it can
always be represented exactly in base 10. (But not vice versa, of
course). However, there's nothing "magic" about base 10 and this
doesn't hold for all bases.
For example, exact fractions in bases 3 and 7 can't be represented
exactly in base 10. (I don't know about bases 4 and 8.)
Craig
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