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Calculations Using Sig Figs

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Rounding Some of us are used to always rounding 5s up E.g. 20.5 21 In Chem 11, we will round 5s to the nearest even number E.g. 20.5 20 (20 is nearer than 22) E.g. 21.5 22(22 is nearer than 20)

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Multiplication & Division Round the answer to the least number of sig figs contained in the question 2.391 x 4.5 = ?

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Multiplication & Division 2.391 x 4.5 = ? 4 sig figs x 2 sig figs = ? 4 sig figs x 2 sig figs = 2 sig figs 2.391 x 4.5 = 10.7595

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Multiplication & Division 2.391 x 4.5 = ? 4 sig figs x 2 sig figs = ? 4 sig figs x 2 sig figs = 2 sig figs 2.391 x 4.5 = 10.7595 11 (2 sig figs)

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Multiplication & Division Practice: Hebden p.39 #56

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Addition & Subtraction Round off the answer to the least precise number in the problem Remember that least precise means fewest decimal places

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Addition & Subtraction 29.347 + 2.33 = ? 3 decimals + 2 decimals = ?

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Addition & Subtraction 29.347 + 2.33 = ? 3 decimals + 2 decimals = 2 decimals

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Addition & Subtraction 29.347 + 2.33 = ? 3 decimals + 2 decimals = 2 decimals 29.347 + 2.33 = 31.677 round to 2 decimals

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Addition & Subtraction 29.347 + 2.33 = ? 3 decimals + 2 decimals = 2 decimals 29.347 + 2.33 = 31.677 round to 2 decimals 29.347 + 2.33 = 31.68 2 decimals, 4 sig figs

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Addition & Subtraction 2.45 x 10 5 + 3.1 x 10 4 = ? Must convert to the same exponent to see which is less precise Always convert the smaller exponent into the larger one

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Addition & Subtraction 2.45 x 10 5 + 3.1 x 10 4 = ? 2.45 x 10 5 + 0.31 x 10 5 = ?

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Addition & Subtraction 2.45 x 10 5 + 3.1 x 10 4 = ? 2.45 x 10 5 + 0.31 x 10 5 = ? 2.45 x 10 5 + 0.31 x 10 5 = 2.76 x 10 5

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Practice Hebden p.28-34 #42-50, p.37 #55 (was HW) Add/subtract: Hebden p.40 #57 All operations: Hebden p. 40 #58-59 Hand in sig figs worksheet (online).

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