This applet shows a visual representation of modular congruence. (To reset refresh the browser window)[br]1. n denotes the modular field.[br]2. a denotes the selected value in mod n[br]3. b denotes the value that a is congruent to mod n

Questions:[br]1. What is the value of b when a<n?[br][br]2. What is the value of b when a=n or when a=kn, where k is some positive integer?[br][br]3. What do the red circles represent in terms of a/n? (Hint: What is the remainder of a/n?)