Computer Science: An Overview: Global Edition (12th Edition)

Published by Pearson Higher Education
ISBN 10: 1292061162
ISBN 13: 978-1-29206-116-0

Chapter 6 - Programming Languages - Chapter Review Problems - Page 326: 33

Answer

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Work Step by Step

The ambiguity in the statement \( P = \frac{9}{4} - 1 \) lies in the interpretation of the expression. Without explicit parentheses, it's unclear whether the subtraction is being applied to the entire fraction \( \frac{9}{4} \) or just to the numerator \( 9 \). If we subtract \( 1 \) from \( \frac{9}{4} \) as a whole, then the calculation would be \( P = \frac{9}{4} - 1 = \frac{9}{4} - \frac{4}{4} = \frac{5}{4} \). However, if we interpret it as subtracting \( 1 \) only from the numerator, then the calculation would be \( P = \frac{9 - 4}{4} = \frac{5}{4} \). So, the ambiguity lies in whether the subtraction applies to the entire fraction or just to the numerator. However, in this case, both interpretations yield the same result, \( \frac{5}{4} \). Therefore, the ambiguity doesn't affect the final answer.
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