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> a measurement is meaningless without tolerances/margin of error

Reporting a value with too many significant digits is the same as reporting an incorrect margin of error, which (arguably) makes the value wrong.

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That's certainly true in a scientific paper, where the concept of significant digits is relevant and widely recognized. In a "please remove dead animal" web request, the value is only wrong if it points to the wrong location (i.e. a location that does not contain a dead animal).

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