1. Scientific Notation & Unit Conversion

2. Scientific Notation Examples: 93,000,000 km = 9.30 x 107 km
Scientific notation provides a short-hand method for expressing very small and very large numbers.
Examples: 10
000001
001 1
1000
000 9 6 3 . , = -
93,000,000 km = 9.30 x 107 km
m = 4.57 x 10-3 m

3. Scientific Notation and Significant Figures
With Scientific Notation one can easily keep track of significant digits by using only those digits that are necessary in the mantissa and letting the power of ten locate the decimal.
Example. Express the number m, accurate to three significant digits.
Mantissa x 10-4 m
6.80 x 10-4 m
The “0” is significant—the last digit in doubt.

4. Example 1: Convert 12 in. to centimeters given that 1 in. = 2.54 cm.
Conversion of Units
Example 1: Convert 12 in. to centimeters given that 1 in. = 2.54 cm. or
Wrong Choice!
Correct Answer!

5. Conversion of Units
Example 2: Convert 60 mi/h to units of ft/s given 1 mi. = 5280 ft and 1 h = 3600 s.
1 mi. = 5280 ft
1 h = 3600 s