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3.1 Continued… Significant Figures
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Significant Figures Every nonzero digit is assumed to be significant (ex. 345 = 3 sig. figs.). Zeros appearing between nonzero digits are significant (ex. 202 = 3 sig. figs.). Leftmost zeros are not significant (ex = 1 sig. fig.). Wait…there’s more…
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Significant Figures Continued
Zeros at the end of a number and right of a decimal point are always significant (ex = 4 sig. figs.). Zeros at the end of a number and left of an understood decimal point are not significant if used as placeholders (ex = 1 sig. fig.).
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To Summarize… All zeroes are significant EXCEPT:
Those at the beginning of a number (0.0002) Those at the end of a number IF there is NO decimal (6000)
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Unlimited Significant Figures
Counting (ex. 31 kids in this class) Exactly defined quantities (like 60min = 1 hour)
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Check it. How many significant figures does 4.0528 contain? 50289.002?
2.2 X 1010? 2500? 0.005? ? I own 31 dogs.
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Calculations Using Sig. Figs.
ADDITION/SUBTRACTION The answer should be rounded to the same number of decimal places (not digits) as the measurement with the least number of decimal places. Ex: 61.2 meters meters meters Answer: 79.2 meters
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Calculations Using Sig. Figs.
MULTIPLICATION/DIVISION Round the answer to the same number of sig. figs. As the measurement with the least number of significant figures. Ex: 7.55 meters * 0.34 meters Answer: 2.6 meters2
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