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 - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 271: 143


$\frac{0}{4}$ = 0 and. \frac{4}{0}$ is undefined

Work Step by Step

In the first fraction $\frac{0}{4}$ =0 because when we have 0 objects and 4 people, if the objects need to be divided between the people, then each person gets 0 objects, since there wasn’t anything to divide up. The second fraction $\frac{4}{0}$ is like having 4 objects to divide between no people. Since there is no way to divide up 4 things between 0 people, the operation as written is undefined.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.