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

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

Chapter 1 - Data Storage - Chapter Review Problems - Page 88: 41

Answer

When recording measurements in floating-point notation, it is crucial to use the appropriate conversion factors to avoid errors in unit conversions. The correct conversion factor between units in the metric system must be applied to ensure accurate and reliable measurements.

Work Step by Step

When measurements using the metric system are recorded in floating-point notation, errors can occur due to the conversion between different units. In the given example, if \(110 \, \mathrm{cm}\) is recorded in units of meters, the error arises from the incorrect conversion. The correct conversion factor from centimeters to meters is \(1 \, \mathrm{m} = 100 \, \mathrm{cm}\). Therefore, \(110 \, \mathrm{cm}\) is equivalent to \(1.1 \, \mathrm{meters}\). If this value is incorrectly recorded or converted using inaccurate conversion factors, it may lead to errors in the recorded measurement.
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