Significant Figures.

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Presentation transcript:

Significant Figures

Uncertainty of Measurement All measurements are assumed to be approximate with the last digit estimated. The length in “cm” here is written as: 1.45 cm 1 2 The last digit “5” is estimated as 1/2 of the interval between 4 and 5.

Estimated Measurements (Cont.) 1 2 Length = 1.45 cm The last digit is estimated, but is significant. It tells us the actual length is between 1.40 cm and 1.50. It would not be possible to estimate yet another digit, such as 1.453. This measurement of length can be given in three significant figures - the last is estimated.

Significant Figures When writing numbers, zeros used ONLY to help in locating the decimal point are NOT significant—others are. See examples. 0.0062 cm 2 significant figures 4.0500 cm 5 significant figures 0.1061 cm 4 significant figures 50.0 cm 3 significant figures 50,600 cm 3 significant figures

Pacific-Atlantic Rule 0.0020 = (2) 15.800 = (5) 95.0 = (3) 70020 = (4) 385 = (3) 6,000 = (1)