   Chapter 8.4, Problem 4ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Let a=68, b=33, and n=7. Verify that 7|(68-33). Explain why 68=33(mod 7). What value of k has the property that 68=33+7k? What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7? Explain why 68 mod 7=33 mod 7.

To determine

(a)

To verify that 7|(6833).

Explanation

Given information:

a=68,b=33,n=7

Calculation:

Here | is the divisibility operation

To determine

(b)

To explain the reason for 6833(mod7).

To determine

(c)

The value of k for which 68=33+7k is true.

To determine

(d)

To find the nonnegative remainder when 68 is divided by 7 and also 33 is divided by 7

To determine

(e)

To explain why 68mod7=33mod7.

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