1. Scientific Notation
Students should be able to convert regular notation and scientific notation while following the rules of sig figs.

2. Scientific Notation Working with very big and very small numbers
A whole number and a decimal multiplied by a power of 10
Examples: 6.5 x x x 10-3

3. Converting to scientific notation
Move the decimal
5,400,000
5.4 x 106
3.45 x 10-9
HINT: Large numbers  positive exponents Small numbers  negative exponents

4. Converting to decimal form
Positive exponent— move decimal to the right
Negative exponent—move the decimal to left
4.5 x 107
45,000,000
7.89 x 10-4
10-2
Think of this as 1 x 10-2
0.01
What about 100?
100 = 1 So 3.5 would be 3.5 x 100

5. Examples: Write in scientific notation 5789 = 0.003750 = 4.89 =
Change to regular notation
5.90 x 104 =
2.109 x 10-3
x 108