Chapter 8.1, Problem 84ES

### Mathematical Excursions (MindTap C...

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

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.4 in modulo 5 arithmetic

To determine

To calculate: To find additive inverse and the multiplicative inverse of 4 in modulo 5 arithmetic

Explanation

Given information: 4Â inÂ moduloÂ â€‰5Â arithmeticÂ  is given

Calculation:

Consider 4 in modulo 5 arithmetic

In mod 5 arithmetic,Â  4+1=5

Hence, in modulo 5 arithmetic, the additive inverse of 4 is 1.

To find multiplicative inverse of 4, solve the equation 4xâ‰¡1mod5 by trying different natural

number values ofÂ  xÂ  less than the modulus.

â€ƒâ€ƒx=04(0)â‰ 1mod5x=<

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