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If I have a bunch of numbers in a list {1.435243523432,2434.2321321412,5.8239897,...}, without multiplying everything by some power of ten and then dividing by that power later, is there an argument I can supply to Round that will round each number at the $k$th decimal place (or do nothing if the number isn't defined to that precision)?

For example, if we set $k = 3$ we'd like something like:

DecimalRound[{1.435243523432,2434.2321321412,5.8239897,...},3] = {1.435,2434.232,5.824,...}
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    $\begingroup$ Round[1.23456,0.001] $\endgroup$ – Pinguin Dirk Sep 18 '13 at 19:50
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    $\begingroup$ Have a look at the second argument of Round: Round[..., 10.^-k] $\endgroup$ – ssch Sep 18 '13 at 19:50
  • $\begingroup$ We used to be more tolerant of "easy" questions such as this and I think sometimes something is lost by closing too quickly. This particular one is a duplicate and should have been closed as such, rather than "easily found in the documentation." As can be seen from the original multiple people felt that the answers were valuable. $\endgroup$ – Mr.Wizard Sep 18 '13 at 20:16

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