Round the measurements listed in Data Table 1 to three significant figures writi

Question

Round the measurements listed in Data Table 1 to three significant figures writing the first column in expended form (all digits appear in their proper place volume position as necessary to read the counted value). Remember that it may be necessary to replace discarded no significant figures with zeroes to maintain place value of your digits. Convert the expanded values to proper scientific notation format and place your results in the second column. A pile of compact disc cases is measured to have the dimensions of 14.49cm times 12.71 cm times 13.94 cm. Compute the volume of the pile of cases, and report the final answer with the correct number of significant figures and scientific notation if needed. In and experiment to determine the value of pi_1 a cylindrical can of potato chips is measured to have an average value of 6.90 cm for its diameter and an average value of 22.29 cm for its circumstance. What is the value of x to the correct number of significant figure? Experimental value of pi Expressing Experimental Error If the accepted value of pi is 3.14, what are the absolute, fractional and percent error values of the experimental value found in 1 Absolute error of experimental value of pi Fractional error of experimental value of pi

Explanation / Answer

value   expanded form scientific notation

11797    11800            1.18*10^4

52701    52700          5.27*10^4

30.85    30.8          3.08*10^2

0.9951    0.995           9.95*10^(-1)

74.5002    74.5           7.45*10^1

49000       49000.0          4.90*10^4

0.4310       0.431           4.31*10^(-1)

72.75        72.8       7.28*10^1

0.006435      0.00644     6.44*10^(-3)

4300000000    4300000000.0    4.30*10^9

part b:

volume=14.49*12.71*13.94=2567.300526

each term has four significant figures.

so keeping the final answer to four significant figures,

volume=2567 cm^3

part c:

circumference=pi*diamter

==>pi=circumference/diameter

=22.29/6.90

=3.2304

lowest number of significant figures is present in 6.90 which has 3 significant figures

so final answer should have 3 significant figures.

hence answer=3.23

part d:

absolute error=3.23-3.14=0.09

fractional error=0.09/3.14=0.028622

percentage error=fractional error*100=2.8622

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