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Significant figures A significant figure represents an actual measurement A measurement of all the digits known with certainty, plus one that is estimated.

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Presentation on theme: "Significant figures A significant figure represents an actual measurement A measurement of all the digits known with certainty, plus one that is estimated."— Presentation transcript:

1 Significant figures A significant figure represents an actual measurement A measurement of all the digits known with certainty, plus one that is estimated or uncertain

2 All non-zero digits are significant 325 ml 1
All non-zero digits are significant 325 ml ml Zeros appearing between non-zero digits are significant 40.7 L 32006m Zeros appearing in front of non-zeros are not significant m g Zeros at the end of a number with a decimal are significant kg g Numbers without decimals usually have non-significant zeros 3400 g 4000 ml

3 30040 g kg ml m cm 640 cm ml g kg 10000L 120 g/L

4 You can calculate any measurement as accurately as the least accurate measurement that was used in the calculation. Density = mass /volume 11.079g/12.7m = 47.0 m/2.2s 140 x 35cm 5.88kg /200 m3 0.050 m2 x m

5 Exact numbers do not have to be considered when rounding For example conversion factors or counted numbers If I have 10 test tubes and I put 2.56 g of sugar in each I will have _____ g of sugar (no need for rounding)

6 Express the following in scientific notation, with the correct number of sig. figs. and correct units 4.70 m/2.2 s 140 x 35 cm 5.88 kg/200 m3 m2 x m 33.00 cm2 x 2.70 cm 35000kJ /0.250 mm

7 Perform the following computations and express the results in sci
Perform the following computations and express the results in sci. notation with the correct # of sig. figs. 1.547 x 10-1 / 2.36 x 10-4 3.89 x 104 mm x 4.7 x 102 mm2 9.57 x 103 kg / x 10-1 m2 8.331 x 103 km / x 102 s 9.364 x 102 m x x 103 m x 9.01 x 10-1 m 1.36 x 107 cm – x 106 cm 3.610 x 10-2 g – 3.6 x 10-3 g


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