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Concept explainers
Shown in the figure is a 5-hour clock and the table for clock addition in the 5-hour system.
|
0 | 1 | 2 | 3 | 4 |
0 | 0 | 1 | 2 | 3 | 4 |
1 | 1 | 2 | -*>3 | 4 | () |
2 | 2 | 3 | 4 | 0 | 1 |
3 | 3 | 4 | _______0 | 1 | 2 |
4 | 4 | 0 | 1 | 2 | 3 |
a. How can you tell that the set {0,1,2,3.4} is closed under the operation of clock addition?
b. Verify the associative property:
c. What is the identity element in the 5-hour clock system?
d. Find the inverse of each element in the 5-hour clock system.
e. Verify two cases of the commutative property:
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Chapter 5 Solutions
Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
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