Modular Arithmetic Visual Aid
This applet shows a visual representation of modular congruence.
1. n denotes the modular field.
2. a denotes the selected value in mod n
3. b denotes the value that a is congruent to mod n
Questions:
1. What is the value of b when a<n?
2. What is the value of b when a=n or when a=kn, where k is some positive integer?
3. What do the red circles represent in terms of a/n? (Hint: What is the remainder of a/n?)