Consider the modular number set $Z_5$:$\{0,1,2,3,4\}$

Give the five different equivalence classes for $Z_5.$ For each equivalence class, list at least five different numbers before putting ellipses $($i$.$e$.$ the $"..."$ symbol$)$ at the beginning and end of the list. $(3$ points per equivalence class, $15$ points total$)$

Class #$1$:

Class #$2$:

Class #$3$:

Class #$4$:

Class #$5$: