College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 17: 115

Answer

$\frac{1}{0}$ is undefined because it cannot be determined to be a number and $\frac{0}{0}$ undefined because there are infinitely many solutions

Work Step by Step

For the first case: Suppose $\frac{a}{0}=n$ and a is a nonzero number Therefore $n*0=a$ Therefore the only possible solution for a is 0 hence there is no solution For the second case: Suppose $\frac{0}{0}=n$ Therefore $0=n*0$ This means that n could be a number meaning the solution is undefinable.
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