Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 4 - Section 4.1 - Divisibility and Modular Arithmetic - Exercises - Page 244: 9

Answer

I list the answers as quotient, remainder. a) 2, 5 b) -11, 10 c) 34, 7 d) 77, 0 e) 0, 0 f) 0, 3 g) -1, 2 h) 4, 0

Work Step by Step

Quotient and remainder when: a) 19 is divided by 7 19=7(2)+5 b) -111 is divided by 11 -111=11(-11)+10 c) 789 is divided by 23 789=23(34)+7 d) 1001 is divided by 13 1001=13(77)+0 e) 0 is divided by 19 0=19(0) f) 3 is divided by 5 5(0)+3 g) -1 is divided by 3 -1=3(-1)+2 h) 4 is divided by 1 4=1(4)+0
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