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Significant Figures

Significant Figures. Significant figures are the digits in any measurement that are known with certainty plus one digit that is uncertain. Number of significant figures = All certain digits + One uncertain digit.

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Significant Figures

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  1. Significant Figures

  2. Significant figures are the digits in any measurement that are known with certainty plus one digit that is uncertain. Number of significant figures = All certain digits +One uncertain digit

  3. Determine the number of significant figures in each of the following measurements: 1. 14.386 5 sig. fig. Rule #1All non-zero digits are significant. 2 sig. fig. 2. 0.0078 Rule #2Zeros to the left of the first non-zero digit are not significant. 3. 5.0078 5 sig. fig. Rule #3Zeros between non-zero digits are significant. 4 sig. fig. 4. 65.00 Rule #4Trailing zeros at the end of a number are significant only if the number (a) contains a decimal point or (b) contains an overbar.

  4. 1. 36 000 5 sig. fig. Rule #4Trailing zeros at the end of a number are significant only if the number (a) contains a decimal point or (b) contains an overbar. 2 sig. fig. 2. 7 800 Rule #4Trailing zeros at the end of a number are significant only if the number (a) contains a decimal point or (b) contains an overbar. 3. 0.00069 2 sig. fig. Rule #2Zeros to the left of the first non-zero digit are not significant. 5 sig. fig. 4. 30008 Rule #3Zeros between non-zero digits are significant.

  5. More Practice Problems Determine the number of significant figures in each of the following measurements: a) 5 000 1 sig. fig. Rule #4Trailing zeros at the end of a number are significant only if the number (a) contains a decimal point or (b) contains an overbar. 4 sig. fig. b) 3005 Rule #1All non-zero digits are significant. c) 0.000002 1 sig. fig. Rule #2Zeros to the left of the first non-zero digit are not significant. 2 sig. fig. d) 0.00050 Rule #2Zeros to the left of the first non-zero digit are not significant.

  6. e) 7 698 4 sig. fig. Rule #1All non-zero digits are significant. 4 sig. fig. f) 76 980 Rule #4Trailing zeros at the end of a number are significant only if the number (a) contains a decimal point or (b) contains an overbar. g) 0.50 2 sig. fig. Rule #2Zeros to the left of the first non-zero digit are not significant. Rule #4 2 sig. fig. h) 70 Rule #2Zeros to the left of the first non-zero digit are not significant.

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