. Let Zg = {0,1,2,3,4,5,6,7}. Denote by + the operation "addition modulo 8" where a +8 b is the remainder when a + b is divided by 8. 2a) Construct the operation table for +8 on the set Zg. 2b) The identity element of Zg under +8 is 2c) Determine the inverse of each element of Zg with respect to +8. Tabulate your answers as shown below: Element of Zg Inverse with respect to +8 0 1 2 3 4 5 6 7

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2. Let Z8 = {0,1,2,3,4,5,6,7}.
Denote by + the operation "addition modulo 8" where a +8 b
is the remainder when a + b is divided by 8.
2a) Construct the operation table for +8 on the set Zg.
2b) The identity element of Zg under +8 is
2c) Determine the inverse of each element of Zg with respect to +8.
Tabulate your answers as shown below:
Element of Zg
Inverse with respect to +8
0
1
2
3
4
5
6
7
Transcribed Image Text:2. Let Z8 = {0,1,2,3,4,5,6,7}. Denote by + the operation "addition modulo 8" where a +8 b is the remainder when a + b is divided by 8. 2a) Construct the operation table for +8 on the set Zg. 2b) The identity element of Zg under +8 is 2c) Determine the inverse of each element of Zg with respect to +8. Tabulate your answers as shown below: Element of Zg Inverse with respect to +8 0 1 2 3 4 5 6 7
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