   Chapter 8.4, Problem 3TY ### 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
1 views

# If a, b. c, d, m, and n arc integers with n > 1 and if a ≡ c   ( mod ​   n ) and b ≡ d ( mod   n ) , then a + b ≡ , a − b ≡ , a b ≡ ,and a m ≡ .

To determine

To fill in the blanks of the statement “If a,bc,d,mandn are integers with n>1 and if ac(modn) and bd(modn), then a+b _______, _______, ______ and _____ .”

Explanation

Given:

The statement “If a,bc,d,mandn are integers with n>1 and if ac(modn) and bd(modn), then a+b _______, _______, ______ and _____ .”

The arithmetic properties of congruence modulo n are,

If a,bc,d,mandn are integers with n>1 and if ac(modn) and bd(modn), then

i. a+b (c+d)(modn)

ii. ab (cd)(modn)

iii

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