# SCIENTIFIC NOTATION AND SIGNIFICANT FIGURES WORKSHEET

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SCIENTIFIC NOTATION AND SIGNIFICANT FIGURES WORKSHEET
I.      Write the following numbers in scientific or exponential notation.
1.      7300 ml           _____________                              6.       0.16 ml            _____________
2.      6,000,000 m       _____________                              7.       0.060 mg           _____________
3.      261 g             _____________                              8.       0.023 m            _____________
4.      42.3 mm _____________                                        9.       0.0000623 g        _____________
5.      21000 cm          _____________                              10.      0.00035 kg         _____________

II.     Write the following numbers in regular notation.
1.      2.6 x 103                                             6.       7.6 x 100
2.      5.1 x 106                                             7.       3.80 x 10-3
3.      4.23 x 10-2                                           8.       2.11 x 106
4.      6.10 x 10-3                                           9.       .00765 x 10-2
5.      9.26 x 10-1                                           10.      54.08 x 103

III.    Write the correct number of significant figures in each of the following measurements.
1.      26.3 ml           _____________                        6.       0.0276 ml                 _____________
2.      230 g             _____________                        7.       0.0030 mg                 _____________
3.      21000 cm          _____________                        8.       0.0600 ml                 _____________
4.      1706 m            _____________                        9.       27600.0 m                 _____________
5.      7000 mm           _____________                        10.      0.001 g                   _____________

III.     Perform the following math operations and report the answer using proper scientific or exponential notation. Be sure to
use the concept of sig figs and include units with your answer.
1.       2.73 g + 2.3 g =
2.       2.11 g + 1.33 g + 3.5 g =
3.       13.76 g - 3.7 g =
4.       234.9 g - 2.22 g =
5.       7.62 g + 3.5 g - 2 g =
6.       287.98 m + 6.53 m - 21 m + 4.8 m =
7.       3.1 x 102 g + 2.3 x 103 g =
8.       6.12 x 10-1 mL - 4.3 x 10-2 mL =
9.       4.52 x 104 mm - 9.2 cm =
10.      26.5 cm x 1.3 cm =
11.      7.60 g / 3.8 ml =
12.      2.311 cm x 3.21 cm x 4.1 cm =
13.      2 g /(1.22 cm x 3.1 cm x 2.1 cm)=
14.      (2 x 103 m) x (6 x 102 m) =
15.      (2.1 x 10-2 cm) x (2.6 x 104 cm) =
16.      6.4 x 102 mm x 2.1 x 10-3 mm =
17.      (7.6 x 103 g ) / (3.8 x 10-2 ml) =
18.      (2.6 x 10-2 g) / (1.3 x 10-2cm3) =
19.      2.65 x 103 m x 3.2 x 102 m x 2.0 x 101 m =
20.      (.0049 kg - 2.3 g) / (.312 m x 45.3 cm x 345 mm)=
Find Density:
1. Calculate the density of a material that has a mass of 52.457 g and a volume of 13.5 cm3.
2. A student finds a rock on the way to school. In the laboratory he determines that the volume of the rock is 22.7 cm3, and the
mass in 39.943 g. What is the density of the rock?
3. If 30.943 g of a liquid occupy a space of 35.0 ml, what is the density of the liquid in g/cm3?

Find Mass:
1. The density of silver is 10.49 g/cm3. If a sample of pure silver has a volume of 12.993 cm3, what would the mass?
2. How many grams of tin would occupy 5.5 L, if it has a density of 7.265 g/cm3?
3. What is the mass of a 350 cm3 sample of pure silicon with a density of 2.336 g/cm3?

Find Volume:
1. Pure gold has a density of 19.32 g/cm3. How large would a piece of gold be if it had a mass of 318.97 g?
2. How many cm3 would a 55.932 g sample of copper occupy if it has a density of 8.92 g/cm3?
3. The density of lead is 11.342 g/cm3. What would be the volume of a 200.0 g sample of this metal?

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 views: 1014 posted: 9/17/2010 language: English pages: 2