Sig figs, rounding off, dimensional analysis

# Sig figs, rounding off, dimensional analysis - Chem 16...

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Chem 16 Significant figures I. Examples 1. 0.001 1 sig fig 2. 0.050 2 sig figs 3. 0.100 3 sig figs 4. 2.000 4 sig figs 5. 5000 1 sig fig 6. 500.0 4 sig figs 7. 4010 3 sig figs 8. 3500 2 sig figs 9. 6.022 X 10 23 4 sig figs II. Exact numbers - have an infinite number of significant figures Example: 1 dozen = 12 pieces - conversion factors have infinite number of significant figures Example: 1 kilogram = 2.205 pounds III. Significant figures in calculations - Multiplication and division : significant figures are determined by the quantity with the least number of significant figures Examples: 1. 63.2 X 54 X 2.000 = 6825.6 6800 2. (5460 X 2877)/460 = 34148.73913 34000 3. A dozen of pencils costs P 38.76. How much will 3 dozens cost? Answer: 38.76 X 3 = 116.28 116.3 not 100 because 3 is an exact number and has an infinite number of significant figures. As a consequence, 38.76 has the least number of significant figures thus the final answer should have the same number of significant figures.

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