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The game is already stacked in favor of the PC's, not adding round rules that don't exist doesn't make you a dick GM.
You have to make the check, the DC is 10.125. You rolled a 10? You fail. You roll an 11? You succeed. There is no rounding there.
Riiiiight. Sorry I must have missed the part where the PC's have arbitrary control of the entire universe and everything therein. Also as noted in the rounding section it doesn't matter if it asks you directly to round the value "For example, if you are asked to take half of 7, the result would be 3." The example clearly indicates that asking you to take half of something is equivalent to asking you to round.
Additionally @Toz It actually matters 2 halves equal one damage and -.5 hp is unconscious and dying while 0 is disabled and a potential threat.
Also worth noting that nothing in the saves section explicitly states that you are expected to round down damage on a save however the examples provided in other sections clearly indicate that is the case which further supports the idea that being asked to take a fraction is equivalent to being told to round and that unless told otherwise you round down.