Is a terminating decimal in a different category of number (in the way "real" or "natural" are categories) from a repeating decimal?
And in base 3, 1/3 is 0.1.Also note that whether a fraction terminates or repeats depends on the base used. For example 1/3 in base 10 is 0.3333..., but 1/3 in base 12 is 0.4.
How would you represent .5 minus .499... ? Is that done in two ways also?And to expand on what BvU said, the decimal representation of rational numbers is in general not unique. For example, the fraction 1/2 can be represented as 0.5 (terminating) or 0.4999... (repeating). Both forms represent exactly the same number.
Note that I am not saying that 0.5000 is the same as 0.4999. The ellipsis (...) that I included for 0.4999... signifies that the representation continues in the same pattern.