Round the following values up at the places noted.
16.872 at thousandths place
Round 16.872 up at the 1/0000s place.
Rounding digit is 2.
There are no digits to the right of the rounding place, so don't add one.
Round 16.872 down at thousandths place.
There are no digits to the right of the units place to drop.
Result is 16.872 (no digits to round).
Note: The result could have been obtained immediately by noting that there are no digits to the right of the thousandths place to round.
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