Aim: How can we perform mathematical calculations with significant digits? Do Now: State how many sig. figs. are in each of the following: 1.4.98 x 10.

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Aim: How can we perform mathematical calculations with significant digits? Do Now: State how many sig. figs. are in each of the following: x ,501,

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

Problems 1) ) ) ) )300,000, ,000,000

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 / Least number of significant digits (3) = Round the answer to 3 significant digits Answer: 10.7

Problems 1)27.3 / 4.2 2)49.2 x )(3.1 x 10 8 ) (2.98 x 10 4 ) 4)3.26 x / 4.2 x )107.3 x X10 3 or x x 10 4 or 78,000 6 x 10 2 or 600 Note: It is a good idea to keep numbers in scientific notation when possible