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Ch 2 Review of Scientific notation, significant digits, density, precision, and accuracy

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Scientific Notation Perform these calculations: (3.2 X 10 5 ) (6.02 X ) = 1.9 X (9.23 X ) / (6.1 X ) = 1.5 X (7.9 X ) + (4.0 X ) = 7.94 X 10 -6

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Starting from the Atlantic Side If you “run across” zeros before you cross a non-zero digit on the Atlantic side Those Zeros ARE Significant!

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Starting from the Pacific Side… Zeros on the pacific side Are NOT Significant

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A tlantic: A re significant P acific: P lace holders

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Significant Digits 1. 45, ,234,567, ,234,056, dozen eggs mile cats m = 1 km

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Round to the correct number of significant digits X = X = X =

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Answers X 3 = 36.9, X 3.0 = 36.9, X 3.00 = 36.9

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Round to the correct number of significant digits / 3.14 = / 32.00=.4375 or X = 100

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Answers X 3.14 = X 0.7 = X =0.12

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Round to the correct number of significant digits 7. (6 X 10 4 ) (5.27 X ) = 8. (6.809 X 10 4 )/(9.200 X )

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Answers 7. (6 X 10 4 ) (5.27 X ) = 0.3 or 3 x (6.809 X 10 4 )/(9.200 X ) = X 10 9

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Density Density = mass volume Mass in grams Volume in ml or cm 3 Units: g/ml or g/ cm 3

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Precision and accuracy Accuracy-how close a measured value is to an accepted value Precision – how close a series of measurements are to 1 another. Show little variation over a series of trials.

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accurate (the average is accurate) not precise precise not accurate accurate and precise

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