   Chapter 8.1, Problem 96ES ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

# Verify that the division 4 Ă· 4 has more than one solution in modulo 10 arithmetic.

To determine

To calculate: To verify that division 4÷4 has more than one solution in modulo 10 arithmetic

Explanation

Given information: (4÷4)mod10 has more than one solution

Calculation:

Consider the following expression (4÷4)mod10

The quotient of the above expression is the solution of the congruence equation x44mod10

Now solve the equation x44mod10

Begin with 0; substitute each whole number less than 10 into the congruence equation to get

x=04(0)4mod10 not a solution x=14(1)4mod10 a solution x=24(2)4mod10 not a solution x=34(3)4mod10 not a solution

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