   Chapter 8, Problem 30RE 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

Find the additive inverse and the multiplicative inverse, if it exists, of the given number. 7 i n mod a r i t h m e t i c

To determine

To find: The additive and multiplicative inverse.

Explanation

Given:

7 in modulo 12 arithmetic.

Calculation:

Mod 12 arithmetic will be 7+5=12 .

The additive inverse of 7 in mod 12 arithmetic is 5

For the multiplicative inverse, the equation will be 7x1mod12

Substitute the values from 0 to 11 for x.

7(0)1mod12 (not a solution)7(1)1mod12 (not a solution)7(2)1mod12 (not a solution)7(3)1mod12 (not a solution)7(4)1mod12 (not a solution)7(5)1mod12

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