Solution Found!
Shown in the figure is an 8-hour clock and the table for clock addition in the 8-hour
Chapter 5, Problem 51(choose chapter or problem)
Shown in the figure is an 8-hour clock and the table for clock addition in the 8-hour clock system.
a. How can you tell that the set {0, 1, 2, 3, 4, 5, 6, 7} is closed under the operation of clock addition?
b. Verify the associative property:
c. What is the identity element in the 8-hour clock system?
d. Find the inverse of each element in the 8-hour clock system.
e. Verify two cases of the commutative property:
Questions & Answers
QUESTION:
Shown in the figure is an 8-hour clock and the table for clock addition in the 8-hour clock system.
a. How can you tell that the set {0, 1, 2, 3, 4, 5, 6, 7} is closed under the operation of clock addition?
b. Verify the associative property:
c. What is the identity element in the 8-hour clock system?
d. Find the inverse of each element in the 8-hour clock system.
e. Verify two cases of the commutative property:
ANSWER:
a. The set {0, 1, 2, 3, 4, 5, 6, 7} is closed under the operation of clock addition because when each element in the set is added to any other element in the set, the result will always be one of the elements in the set.
b. The associative property can be verified by adding any three elements in the set and then adding the same three elements in differ