A day late and in the wrong year, I've come up with a notation idea for #mathsjam: there should be a different zero symbol to show (lack of) precision.
e.g. 3xxx instead of 3000 when figure is correct to the nearest 1000.

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In reply to @christianp

Maybe "Greek letter archaic koppa" will do: Ϙ

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In reply to @christianp

or, since you're rounding after a particular digit, a separator would do, like 3~000

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