[net.math] .999... != 1

bryan (01/25/83)

Wrong, 1 is not equal to .99999...
1/9 aprox. equal to .11111...

1 = .9999... + .0000....1

		!ihlpb!bryan
		Bryan DeLaney
		BTL Naperville, IL

cjp (01/26/83)

There's no such number as 0.0000....1 !

egb (01/29/83)

#R:ihlpb:-26600:whuxlb:7200015:000:192
whuxlb!egb    Jan 26 22:07:00 1983

Concerning
	1 = .999...
could someone please formally define the symbol
	"...".
I have never seen a mathematical definition of the ellipsis.
Is it a formally defined mathematical symbol?
	egb

ech (01/29/83)

#R:ihlpb:-26600:whuxlb:7200013:000:372
whuxlb!ech    Jan 26 02:11:00 1983

Hold on, thar...
.111..., carried to infinity, IS 1/9, and
.999..., carried to infinity, IS 1.  There is no roundoff error in infinite
decimal expansions.

Even in the computer world, the equality sometimes holds: for example, in
APL, a "fuzz" is applied to output results (although not for intermediate
ones).  If you type in enough 9's, it will echo "1".

=Ned Horvath=