Scientific Notation, the Metric System, and Conversions
Scientific Notation
1) Write the following numbers in scientific notation.
2,000 = 2 x 10
3
150 = 1.5 x 10
2
400,000 = 4 x 10
5
9,000,000 = 9 x 10
6
0.0017 = 1.7 x 10
-3
0.03 = 3 x 10
-2
0.0000005 = 5 x 10
-7
0.00250 = 2.50 x 10
-3
2) Write out the following numbers in normal notation.
2.00 x 10
5
= 200,000
4.59 x 10
6
= 4,560,000
3.21 x 10
4
= 32,100
4.32 x 10
-5
= 0.0000432
7.86 x 10
-2
= 0.0786
6.50 x 10
-1
= 0.650
The Metric System
3) Complete the following equations involving metric system prefixes:
100 cm = 1 meter
1,000 mm = 1 meter
1e+9 nm = 1 meter
1,000m = 1 km
1,000 mg = 1 gram
1,000,000,000 year = 1 Gyr
1,000,000 lightyear = 1 Mlyr
1,000,000 micrometer = 1 meter
100,000 cm = 1 km
1,000 millisecond = 1 second
4) Arrange these distances in order from shortest to longest.
1 meter, 1 kilometer, 1 millimeter, 1 centimeter
millimeter, centimeter, meter, kilometer
