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Published byBrendan Perry Modified over 7 years ago

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Significant Figures

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What do you write? 6.2 5.45

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What do you write? 6.2 = 1.1376146… 5.45

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Precision - Accuracy -

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Precision - how exact a measurement it Accuracy -

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Precision - how exact a measurement it Accuracy - how close the measurement is to the true value

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Precision - how exact a measurement it Accuracy - how close the measurement is to the true value

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Precision - how exact a measurement it Accuracy - how close the measurement is to the true value

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Significant Figure

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The digits in a measurement that you know with certainty

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Significant Figure The digits in a measurement that you know with certainty Includes one “doubtful digit”

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Rules for Counting Significant Figures 1. All non-zero digits are significant. Example: 123.7 has 4 significant figures 2. All zeros between non-zero digits are significant. Example: 1207 has 4 sig. figs., 120.007 has 6 sig. figs. 3. All zeros at the left of the number are NOT significant. Example: 0.00032 has 2 sig. figs, 0.03 has 1 sig. fig. 4. When zeros are at the right of the number: a) If there is no decimal, the zeros are NOT significant. Example: 300 has 1 sig. fig., 25400 has 3 sig. figs. b) If there is a decimal, the zeros ARE significant. Example: 60.0 has 3 sig. figs., 0.00045300 has 5 sig. figs. (the 4 zeros at the left of the number do not count, but the 2 zeros at the right of the number do count).

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Rules for calculating with sig. figs.

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multiply/divide 6.2 = 1.1376146… 5.45

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Rules for calculating with sig. figs. multiply/divide 6.2 = 1.1376146… 5.45 1.Count the number of sig. figs. in each measurement

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Rules for calculating with sig. figs. multiply/divide 6.2 = 1.1376146… 5.45 1.Count the number of sig. figs. in each measurement 2.The answer has as many as the least precise measurement (fewest)

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Rules for calculating with sig. figs. multiply/divide 6.2 = 1.1376146… 5.45 1.Count the number of sig. figs. in each measurement 2.The answer has as many as the least precise measurement (fewest) 3.Use the last digit dropped to round

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Rules for calculating with sig. figs. multiply/divide 6.2 = 1.1 5.45 1.Count the number of sig. figs. in each measurement 2.The answer has as many as the least precise measurement (fewest) 3.Use the last digit dropped to round

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Rules for calculating with sig. figs. add/subtract 14.3 + 220.75 235.05

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Rules for calculating with sig. figs. add/subtract 14.3 + 220.75 235.05 1.Keep everything to the left of the decimal

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Rules for calculating with sig. figs. add/subtract 14.3 + 220.75 235.05 1.Keep everything to the left of the decimal 2.Keep only the places in common to the right of the decimal

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Rules for calculating with sig. figs. add/subtract 14.3 + 220.75 235.05 1.Keep everything to the left of the decimal 2.Keep only the places in common to the right of the decimal 3.Use the last digit dropped to round

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Rules for calculating with sig. figs. add/subtract 14.3 + 220.75 235.05 = 235.1 1.Keep everything to the left of the decimal 2.Keep only the places in common to the right of the decimal 3.Use the last digit dropped to round

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