Significant Figures: Flashcards
Revise counting significant figures, scientific notation, rounding, and accuracy versus precision.
Significant Figures: Flashcards
- QuestionWhat are significant figures?Answer
The digits in a measurement that are known with certainty, plus one estimated digit.
- QuestionHow many significant figures in 0.0042 L?Answer
2 (leading zeros are not significant)
- QuestionHow many significant figures in 2.500 mL?Answer
4 (trailing zeros after a decimal point are significant)
- QuestionHow many significant figures in 1.05 m?Answer
3 (a zero between non-zero digits is significant)
- QuestionRule for multiplying and dividing?Answer
The answer has the fewest significant figures of the measured inputs.
- QuestionRule for adding and subtracting?Answer
The answer has the fewest decimal places of the measured inputs.
- QuestionWrite 0.000 520 m in scientific notation.Answer
m (3 significant figures)
- QuestionDo exact numbers (such as 1 km = 1000 m) limit significant figures?Answer
No. Exact numbers have unlimited significant figures.
- QuestionWhat is the difference between accuracy and precision?Answer
Accuracy: closeness to the true value. Precision: closeness of repeated measurements to each other.
- Question25.12 g + 3.4 g = ?Answer
28.5 g (one decimal place, like 3.4 g)
- QuestionRound 2.345 g and 2.355 g to three significant figures.Answer
2.34 g and 2.36 g. An exact 5 is rounded to the even digit (round half to even).
- QuestionWhy are measurements made in replicate (e.g. triplicate or quintuplicate)?Answer
One measurement cannot show its precision. Replicates give a mean (best value) and a standard deviation (precision).
- QuestionWhich statistic measures accuracy and which measures precision?Answer
Accuracy: the error, mean − true value. Precision: the standard deviation (or relative standard deviation).
- QuestionWhich kind of error lowers accuracy but not precision?Answer
A systematic error, e.g. a badly calibrated balance shifts every result the same way.
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