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simplifying expressions - Simplify Mod to subtraction when possible


FullSimplify[Mod[t,10], t>101 && t<109]


It's a long shot, but can I get Mathematica to return t-100 or something similar for the above?


Currently it returns just Mod[t,10] itself, which is accurate, but I want even more simplification based on my conditions.



Answer



How about



Assuming[101 < t < 109, FullSimplify[PiecewiseExpand[Mod[t, 10]]]]



rhermans gives a simpler formulation:


PiecewiseExpand[Mod[t, 10], 101 < t < 109]

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