Explanation Consider the set of elements in the system of the hours on a clock of 12 arithmetic be { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } . The binary operation addition can be defined as a movement of the hour hand clockwise direction. Identity : An identity element is an element in a set such that when a binary operation is performed on a given element in the set, then the resultant element is the same as in given element. Let any element belongs to the set { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

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Chapter 9.2, Problem 3E

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To fill: In clock 12 arithmetic, since a+12=12+a=a , for any element a, we say that 12 is additive _______ element.

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Chapter 9.2, Problem 2E

Chapter 9.2, Problem 4E

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Chapter 9 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

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In clock 12 arithmetic, since a + 12 = 12 + a = a , for any element a , we say that 12 is additive _______ element.

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