Despite common misconceptions, 0.999… is not “almost exactly 1” or “very, very nearly but not quite 1”; rather, “0.999…” and “1” represent exactly the same number.
I know that. But practically, if you are trying to measure 1/3 of an arbitrary distance, or 1/3 of an arbitrary weight, you are not going to be able to hit the exact, precise measurement using normal household or kitchen tools. Therefore your origin assertion that 1/3 as a fraction is more accurate than decimal is meaningless, as you can’t actually utilise that extra precision.
Fractions are more accurate. You can’t display 1/3 as a decimal. Americans are dumb, but this isn’t an imperial versus metric thing.
1/3 = 0.(3) (digits in parenthesis indicate repeating)
2/3 = 0.(6)
3/3 = 0.(9) which is equal to 1 btw
https://en.wikipedia.org/wiki/0.999…
Your accuracy goes out of the window when you are actually measuring things though. The error is as significant as rounding 1/3 to 0.33
Not rounding. Mathematically, 0.(3) (repeating) is the exact same as 1/3
I know that. But practically, if you are trying to measure 1/3 of an arbitrary distance, or 1/3 of an arbitrary weight, you are not going to be able to hit the exact, precise measurement using normal household or kitchen tools. Therefore your origin assertion that 1/3 as a fraction is more accurate than decimal is meaningless, as you can’t actually utilise that extra precision.