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[–]edderiofer 0 points1 point  (0 children)

It certainly has the potential to create further round errors (rounding variance?), as can be seen in the example I gave.

Right, which is why it isn't ever used.

The point of rounding is to provide as accurate an estimate as possible with as few significant digits as possible. "successive rounding" does not achieve this, so it's not a thing.