   Chapter 8, Problem 47RE Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Determine whether the set is a group with respect to the given operation. (You may assume the operation is associative.) If the set is not a group, determine which properties fail.All rational numbers except 0: multiplication

To determine

Whether the given set with the multiplication operation forms a group.

Explanation

Given:

All rational numbers except 0.

Calculation:

When we multiply two rational numbers, the answer will be a rational number.

(1)(10)=10(13)(23

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