Perhaps a simple question, but I can't find an answer.

Do 1/3 have the same number of significant figures as 0.333...?

On one hand, they're the same number and therefore must have the same number of significant figures.

But on the other hand, both 1 and 3 are only exact to the nearest whole number and might not be equal to exactly 1.000... or 3.000... respectively. One could argue that the result of 1/3 still only have one significant figure and should therefore equal 0.3.

Any thought on this?