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1-2 Significant Figures: Rules and Calculations (Section 2.5, p. 23-28)
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Rules for Sig Figs in Numbers: Nonzero digits are ALWAYS significant: 97.3 m has 3 sig figs “Leading” zeroes are NEVER significant:0.02 km has 1 sig fig These zeroes simply act as placeholders “Captive” zeroes are ALWAYS significant: 304 sec has 3 sig figs “Trailing” zeroes with a decimal (anywhere) are significant: 4.100 m has 4 sig figs “Trailing” zeroes without a decimal are NOT significant: 700 m has 1 sig fig “Exact” or counting numbers have no sig figs: 3 pens has no sig figs
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Practice for you 100 m = ____ sig figs vs.100. m = ____ sig figs 0.003 L = ____ sig figs303.0 cm = ____ sig figs 0.0010100 = ____ sig figs 13 14 5
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Rules for Significant Figures in Calculations: Addition and Subtraction: Add or subtract all numbers; the answer has as many decimal places as the least accurate number. Example: 677 9.2 + 6.33 722.53 but since the first number is only reported to the 1’s place, the answer with sig figs would be 723
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Multiplication and Division Multiply and divide all the numbers and report the answer with as many sig figs as the number with the fewest sig figs. Example: 22.1 x 9.234 = 204.7but since 22.1 has three sig figs, the answer should be reported as 204
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Misc Sig Fig Rules: For scientific notation, look to the # before the x10: 3.01 x 10 2 has 3 sig figs Round 5’s up. Besides using a. to indicate significance, an underline can also be used: 300. m = 3 sig figs = 300 m Numbers in conversions are “exact”, with no sig figs:1 kg = 1000 g The 1000 has no sig figs associated with it. 10. cm = 0.10 m = 0.0010 kmNote how all have 2 sig figs
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To practice sig figs and get immediate feedback on accuracy, go to: http://science.widener.edu/svb/tutorial/index. html http://science.widener.edu/svb/tutorial/index. html
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