The point of this questions is to practice the concept of precision and the number of significant
figure to quote. Questions are taken from the course book 'Physics with modern physics',
Richard Wolfson & J. M. Pasachoff, pp 18-20.
Question: "Machine epsilon" is a computer term describing the minimum quantity that can be
added to 1 to give a different number. If machine epsilon for a certain computer is 0.000001,
roughly how many significant figures does the computer carry in it's calculations ?
To see that it is important to carry more digits in intermediate calculations, determine ( 3) to
3
three significant figures in two ways : (a) find 3 and round to three significant figures, then
cube and again round. (b) find 3 to four significant figures, then cube and round to three
significant figures.
Physics Homework Solutions
#1374
Simple practice questions
a) "Machine epsilon" is a computer term describing the minimum quantity that can be added to 1 to give a different number. If machine epsilon for a certain computer is 0.000001, roughly how many significant figures does the computer carry in it's calculations?
b) To see that it is important to carry more digits in intermediate calculations, determine the square root of 3 to the of power 3, to three significant figures in two ways.
See attachment below for the full question
This job focuses on problems reflect the precision and accuracy of measured values.
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