Very large and very small numbers are cumbersome.
one option: 600,000,000s = 600 Ms
another: 600,000,000s = 6x108s
Either option (compound units or scientific notation) works for
both large and small
(0.000001m = 1 micrometer = 1x10-6m)
Write a value in scientific notation (using the correct number of significant digits)
Write the number of seconds in a day using scientific notation.
Why use scientific notation?
Represent the precision at which a value is known.
Clock without a second hand -> 10:21
Clock with a second hand -> 10:21:08 AM
Stop watch -> 10:21:08.12 AM
Writing numbers to show sig. figs.
40500 (4.05x104) -> 3 sig.
40500. (4.0500x104) -> 5 sig. figs.
0.0012 (1.2x10-3) -> 2 sig. figs.
0.001200 (1.200x10-3) -> 4 sig. figs.