   Chapter 8.1, Problem 88ES 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.6 in modulo 15 arithmetic

To determine

To calculate: To find additive inverse and the multiplicative inverse of 6 in modulo 15 arithmetic

Explanation

Given information: 6 in modulo 15 arithmetic  is given

Calculation:

Consider 6 in modulo 15 arithmetic

In mod 15 arithmetic,  6+9=15

Hence, in modulo 15 arithmetic, the additive inverse of 6 is 9.

To find multiplicative inverse of 6, solve the equation 6x1mod15  by trying different natural

number values of  x  less than the modulus.

x=06(0)1mod15x=16(1)1mod15x=26(2)1mod15x=36(3)1mod15

x=46(4)1mod15x=56(5)1mod15x=6

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