文档介绍：CHAPTER 1: Introduction, Measurement, Estimating
Answers to Questions
1. (a) Fundamental standards should be accessible, invariable, indestructible, and reproducible. A
particular person’s foot would not be very accessible, since the person could not be at more than
one place at a time. The standard would be somewhat invariable if the person were an adult, but
even then, due to swelling or injury, the length of the standard foot could change. The standard
would not be indestructible – the foot would not last forever. The standard could be
reproducible – tracings or plaster casts could be made as secondary standards.
(b) If any person’s foot were to be used as a standard, “standard” would vary significantly
depending on the person whose foot happened to be used most recently for a measurement. The
standard would be very accessible, because wherever a measurement was needed, it would be
very easy to find someone with feet. The standard would be extremely variable – perhaps by a
factor of 2. That also renders the standard as not reproducible, because there could be many
reproductions that were quite different from each other. The standard would be almost
indestructible in that there is essentially a limitless supply of feet to be used.
2. There are various ways to alter the signs. The number of meters could be expressed in one
significant figure, as “900 m (3000 ft)”. Or, the number of feet could be expressed with the same
precision as the number of meters, as “914 m (2999 ft)”. The signs could also be moved to different
locations, where the number of meters was more exact. For example, if a sign was placed where the
elevation was really 1000 m to the nearest meter, then the sign could read “1000 m (3280 ft)”.
3. Including more digits in an answer does not necessarily increase its accuracy. The accuracy of an
answer is determined by the accuracy of the physical measurement on which the answer is based. If
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