Significant Figures

Significant Figures - Determine significant figures (SF) in...

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Determine significant figures (SF) in measurements Example (cm) SF a) All non zero digits are significant 1286 4 12.86 4 b) Numbers with zeroes: Zeroes to the left of the first non zero digit are not significant 0.0025 2 .025 2 025 2 Zeroes between non zero digits are significant 40.23 4 4023 4 Zeroes to the right of the non zero digits: a) In quantities with a decimal point are significant 4.000 4 42000. 5 0.000040 2 b) In quantities without a decimal point 42000 2 we do not know unless specified. 100 1 In this class, if the trailing zeroes are significant 4300 2 they should be expressed in exponential notation. Exponential notation 4.2 x 10 4 2 The coefficient indicates the number of SF. 4.20 x 10 4 3 4.200 x 10 4 4 4.2000 x 10 4 5 Numbers obtained by counting and definitions are exact numbers Example SF 25 dollars. infinite 205 birds infinite 12 inches = 1 foot infin 60 min. = 1 h. infinite When measurements are computed consider the widest possible range of uncertainty of the
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