Calculating with Significant Figures (CHEM 1405)
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Calculating with Significant Figures and Scientific Notation
Determine the number of significant figures in each of the following:
_____a. 6.751 m ______f. 30.07 mL _____k. 54.52 g
_____b. 0.0157 kg _____g. 3 x 1034 g _____l. 0.1209 mL
_____c. 28.00 L _____h. 0.0067 mg _____m. 2.6900 kg
_____d. 2500 m _____i. 0.0200 cm _____n. 43.07 m
_____e. 0.07002 dm _____j. 2.60 x 108 m _____o. 106. km
Express each answer using the correct number of significant figures.
Add
a. 16.5 cm + 8 cm + 4.37 cm = _____________________
b. 13.25 g + 10.00 g + 9.6 g = _____________________
c. 4.5 cm + 375 mm + 25.9 dm = _____________________
Subtract
a. 23.27 km - 12.058 km = _____________________
b. 13.57 g - 6.3 g = _____________________
c. 5.805 L - 385.2 mL = _____________________
Multiply
a. 2.6 cm x 3.78 cm = _____________________
b. 6.50 m x 0.37 m = _____________________
c. 1.4 m x 8m x 75.85 m = _____________________
Divide
a. 35 cm2 / 0.62 cm = _____________________
b. 0.75 g / 0.003 cm3 = _____________________
c. 6.50 m / 9.2 m = _____________________
Rank these numbers from smallest to largest using number 1 through 8.
_____a. 5.3 X 104 _____e. 0.0057
_____b. 57 X 103 _____f. 5.1 X 10-3‑
_____c. 4.9 X 10-2 _____g. 0.0072 X 102
_____d. 6230 _____h. 2 X 106
For the numbers below, change the regular numbers into scientific notation or write as a regular number if already in scientific notation. Watch out for significant figures.
a. 68902 ____________________ f. 77900.34 _____________________
b. 0.754 ____________________ g. 0.000385 _____________________
c. 248.0 ____________________ h. 4.5 x 103 _____________________
d. 3000 ____________________ i. 8.30 x 102 _____________________
e. 540.0 ____________________ j. 9.080 x 102 _____________________