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]

Comments

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