Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.3 - Real Numbers and Algebraic Expressions - Problem Set 2.3: 98

Answer

The answer is below.

Work Step by Step

1/7 is a prime number, so it will repeat an infinite number of times. In fact, the length of the repeating sequence of a prime number is given by n-1, where n is a number. Thus, not surprisingly, there are 6 numbers that repeat an infinite number of times in one divided by 7.
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