Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 74

Answer

d = 2 and d = 6

Work Step by Step

Divisibility Rules state that a number is divisible by 4 if its last two digits form a number that is divisible by 4. In the number 752,67d, we can substitute the numbers 0 through 9 for d. We use the last two digits, 7d, with d being unknown. Once we check each substitution, we find that only 72 and 76 are divisible by 4; therefore, d can only take on the values of 2 and 6.
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