Lecture2 - Chapter 3 Math Toolkit Significant figures the...

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Chapter 3 Math Toolkit Significant figures : the minimum number of digits needed to maintain the accuracy of a measurement. Percent Transmittance: 58.3 ± 0.2 Absorbance: 0.234 ± 0.001
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Scientific notations: 9.25 x 10 4 => 3 significant figures 9.250 x 10 4 => 4 9.2500 x 10 4 => 5 0.00000 6320 0.00 1006320 1.000006320 0. 106 0. 1060 E.g.) significant numbers 4 significant numbers 7 10 3 4
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E.g.) Density measurement Mass : 4.635 ± 0.002 g volume mass density = Volume: 1.13 ± 0.05 mL g/mL 101769912 . 4 13 . 1 635 . 4 = = mL g density (?) The scientifically meaningful answer is: 4.10 ± 0.18 g/mL !! ??
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Significant Figures in Arithmetic Addition and subtraction: significant figure (SF) is limited by the least certain one. 4 - 4 - -4 10 4.473 10 3.111 10 1.362 × × × + + 18.9984032 18.9984032 18.30 121.79 68064 121.80 1.632 x 10 5 1.04 x 10 5 - 0.59 x 10 5
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Multiplication and Division SF is limited to the number of digits of the fewest significant figures. 3.26 x 10 -5 1.78 5.80 x 10 -5 x 4.3179 x 10 12 3.6 x 10 -19 1.6 x 10 -6 x 34.60 2.46287 14.05 ÷
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n = 10 a => log n = a log 339 =
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Lecture2 - Chapter 3 Math Toolkit Significant figures the...

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