In the set $\mathbb{Z}$, we define two integers $x$ and $y$ to be equivalent ($x ≈ y$) if and only if $x \operatorname{div} 10 = y \operatorname{div}10$. How would one select a representative from each equivalence class?
I understand why it's an equivalent relation (it's reflexive, symmetric, and transitive), but I can't figure out what the different equivalence classes would look like.