Originally posted by: Dufusyte
Originally posted by: silverpig
2.000... whether you deem the zeros necessary or not, is an interminal decimal.
"2" is not interminal. It terminates.
"Terminate" and "interminate" refer to the process by which the number is derived. For example, if you derive 2 by: 10/5, then you have a nice little process that terminates, namely:
10/5=2 there is no remainder, so the process terminates. Or, if you are picky, the remainder is Zero, which also signifies that the process has terminated, since there is zero (nothing) remaining.
By contrast, if you derive 0.3333... from 1/3, you can easily see that the process of division does not terminate since there is always a remainder:
1/3=.3 with a remainder of 0.1, necessitating contining the process (interminally).
So 10/5=2 is not interminal. If you were not aware that division terminates when there is no remainder (or when the remainder = zero), then I pity you, and suggest you go back to second grade.