Perform the following calculations and determine the absolute and percent relati

Question

Perform the following calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations.

Map Sapling Learning macmillan lea Perform the following calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations. Algebraic Absolute Percent Relative Answer Uncertainty Uncertainty Number Number Number 9.8 t 0.3 2.31 t 0.01 0.88 3.4 8.5 0.6 Percent Relative Absolute Algebraic Uncertainty Uncertainty Answer 9.2 t 0.4 x Number Number Number 5.4 0.3 x 10 5.6 0.1 x 10 0.1012 t 7.9 t 0.008 Incorrect.

Explanation / Answer

Absolute and relative percent uncertainty

a) Algebric answer = (9.8 - 2.31)/8.5 = 0.88

absolute uncertainty = [(0.3/9.8) + (0.01/2.31) + (0.6/8.5)] = 0.105

Relative uncertainty = 0.105 x 0.88 x 100 = 9.3%

b) Algebric answer = (9.2 x (5.4 + 5.6)10^-3 = 0.10

absolute uncertainty = [(0.4/9.2)[(0.3 x 10^-3/0.0054) + (0.1 x 10^-3/0.0056)] = 0.116

Relative uncertainty = 0.116 x 0.1 x 100 = 1.16%

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