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Aim: How can we perform mathematical calculations with significant digits?

Aim: How can we perform mathematical calculations with significant digits?. Do Now: State how many sig. figs. are in each of the following: 4.98 x 10 6 0.00209 872.010 9,501,000. 3 3 6 4. Addition and Subtraction. RULE: Round the answer to the least precise measurement.

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Aim: How can we perform mathematical calculations with significant digits?

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  1. Aim: How can we perform mathematical calculations with significant digits? • Do Now: • State how many sig. figs. are in each of the following: • 4.98 x 106 • 0.00209 • 872.010 • 9,501,000 3 3 6 4

  2. Addition and Subtraction RULE: Round the answer to the least precise measurement. Ex: 10.26 131.5 + 12.862 Least Precise Measurement (fewest decimal places) 154.622 Round this answer to the least precise measurement (one decimal place) Answer: 154.6

  3. Problems • 123.456 • 7.89 • + 0.12 • ----------------------------------------------- • 109.0006 • 5.23 • 87.11 • + 9 • -------------------------------------------------- • 3.862 • - 0.8943 2.968 131.47 210 • 987.65 • 4 • ---------------------------------------- • 300,000,000 • + 0.45 300,000,000 984

  4. Multiplication and Division RULE: Round the answer to contain the same number of significant digits as the number with the least number of significant digits. Ex: 36.5 / 3.414 = 10.69127124 Least number of significant digits (3) Round the answer to 3 significant digits Answer: 10.7

  5. Problems • 27.3 / 4.2 • 49.2 x 87.61 • (3.1 x 108) (2.98 x 104) • 3.26 x 10-4 / 4.2 x 10-9 • 107.3 x 6 6.5 4.31 X103 or 4310 9.2 x 1012 7.8 x 104 or 78,000 6 x 102 or 600 Note: It is a good idea to keep numbers in scientific notation when possible

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