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Converting and Sig Figs

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1 Converting and Sig Figs
Mr. Garcia IB Physics SL GOHS

2 Conversion Factors Conversion Factor: ratio of equal units to convert from one unit to the other. 4 quarters/1 dollar = 1; etc… Factor Label Method: units used for mathematical conversion of measurements 12 dollars (4 quarters/1 dollar) = ? Answer = 48 quarters

3 Converting Units To convert units:
Measured Amount (Conversion Factor) = New Unit

4 Metric Prefixes

5 Using Metric Conversion Factors
When using the metric table for conversion factor remember: The base unit gets the exponent (base unit is the unit without a prefix) The prefix gets the number 1 Example: 9 m  ? mm Chart says 10-3  milli- Convert: 9 m (1 mm/10-3 m) = 9000 mm

6 Uncertainty and Error Accuracy: how close a measurement is to the accepted value. Precision: is the degree of exactness of a measurement; consistency in measurement. Uncertainty: the measure of confidence in a measurement. A lower uncertainty indicates greater confidence.

7

8 Significant Figures (Sig Figs)
Determining Sig Figs: Garcia paraphrase All nonzero digits are significant Zero is significant IF: Between nonzero digits Right of nonzero digits AND there’s a decimal in the number

9 Sig Figs cont. Addition & Subtraction:
Keep the least accurate decimal place. Example: = = 27.1 = = 5766

10 Sig Figs cont. Multiplication and Division
Keep the least significant figures Example: 3.05 g/8.470 mL = g/mL = g/mL Conversion factors are not included for sig figs

11 Scientific Notation Used to represent large or small numbers
General form: M x 10n 1 < M < 10 n is an integer (+ or - whole number) Example: = 6.02 x 1023 = 6.02 x 10-9


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