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Measurement
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Measurement: Length (m)
cm 1 2 3 4 3.1 3.2 3.3 Increment = 0.1 cm Measurement: 3.2 6 cm “certain” digits “uncertain” digit estimation required Uncertainty: +/ 3.25 cm cm... 3.27 cm
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Measurement: Temperature (ºC)
25. 2 ºC 30 ºC “certain” digits “uncertain” digit 25 ºC Uncertainty: +/- 0.1ºC 24 ºC 23 ºC Increment = 1 ºC 25.1 ºC ºC... 25.3 ºC 22 ºC 21 ºC 20 ºC
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Measurement: Volume (L)
50 mL Graduated Cylinder Measurement: 23. 5 mL “Meniscus” 25 mL “certain” digits “uncertain” digit 24 mL 23 mL 22 mL 21 mL Increment = 1 mL 20 mL Uncertainty: +/- 0.1 mL 23.4 mL mL... 23.6 mL
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Measurement: Mass (g) 28.8301 g 35.48 g Top Loading Balance
Analytical Balance Measurement: Measurement: g 35.48 g Uncertainty: +/ g Uncertainty: +/ g 35.47 g g... 35.49 g g g... g
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Significant Figures (Sig. Figs.)
What are the digits in a measurement that really matter? 35.48 g g Yes, even the uncertain digit counts as a sig. fig.! 4 Sig. Figs. 6 Sig. Figs.
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Significant Figures: Other Examples
Measurement When a decimal point is displayed, all trailing zeros count as sig. figs. grams 6 Sig. Figs. grams Captured zeros always count as significant figures 7 Sig. Figs. grams Leading zeros do NOT count as significant figures 3 Sig. Figs.
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Significant Figures: Other Examples
Measurement When a decimal point is displayed, all trailing zeros count as sig. figs. grams Leading zeros do NOT count as significant figures 4 Sig. Figs. 1,200 grams No Decimal Point Displayed! 2 Sig. Figs. 1,200. grams Decimal Point IS Displayed! 4 Sig. Figs.
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Significant Figures: Scientific Notation
Measurement How would we write this with 3 significant figures? 1200 grams 1200 grams 1200. grams 2 Sig. Figs. 4 Sig. Figs. Scientific Notation 1.20 103 grams 3 Sig. Figs.
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