Problem:
In an experiment, a scientific constant is determined to be with an error of at most . The experimenter wishes to announce a value for in which every digit is significant. That is, whatever is, the announced value must be the correct result when is rounded to that number of digits. The most accurate value the experimenter can announce for is
Answer Choices:
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Solution:
From the given,
Thus, rounded to one significant digit , to two digits , and to three digits (not even if ). However, rounded to four digits might be as low as and as high as . Thus the most precise value the experimenter can announce in significant digits is .