Decide whether or not the modulo system forms a group.
-{0, 1, 2, 3, 4, 5, 6, 7}; addition modulo 8
A) Group
B) Not a group

Question

Quizplus · Accepted Answer

This set with addition modulo 8 forms a group because it satisfies the four group axioms: closure (the sum of any two elements modulo 8 is also in the set), associativity (addition is associative), identity (0 acts as the identity element), and inverses (for any element in the set, there exists another element in the set such that their sum modulo 8 is 0).

Decide Whether or Not the Modulo System Forms a Group