project 6A

Math 123 –Mathematical Principles I Fall 2020

PROJECT 6AB Part A:

(1) Complete the Cayley table for ⊗9 in ℤ9 (please use your own paper):

⊗9 0 1 2 3 4 5 6 7 8

0

1

2

3

4

5

6

7

8

(2) What element(s) of ℤ9 do not have a multiplicative inverse?

(3) Why do you think that is so?

Part B: Please write a brief reflective piece on the following questions:

 Reflect on your experience while in Math 123 (both in the class and out). What was the most impactful experience you have had so far (good or bad)?

 What was the most challenging or rewarding aspect of the course?  How has your experience in this course influenced your perception or

understanding of mathematics? (NOTE: I may share some of your reflections with faculty and future students but I will leave off all names or identifying information.)