1. Scientific Notation
SWBAT write the scientific notation for numbers given in standard form; write the standard form for numbers given in scientific notation; compare and order numbers in scientific notation

2. Scientific Notation
What happens to a number when you multiply it by 10?
The decimal moves to the right
What happens to a number when you divide by 10?
The decimal moves to the left

3. Scientific Notation Scientific notation
A number written as the product of two numbers
The first number must be greater than or equal to 1 and less than 10
1 ≤ x < 10
The second number is written as a power of 10

4. Examples
2.5 x 10-3
7.83 x 100
2.925 x 10-2
4.04 x 10-9
7.1 x 10-4
6 x 107
0.0025
6400
-54,200,000
6,100,000

5. Do the Try These problems on your paper
Write in standard form
4 x 104
40,000
8.13 x 103
8,130
1.36 x 10-6
Write in scientific notation
4,000,000
4 x 106
7,500,000
7.5 x 106
4.75 x 10-9

6. Comparing numbers in scientific notation
Compare the exponents
If they are different the number with the greater exponent is larger
If they are the same the compare the decimal factors

7. Which is greater? 6.3 X 106 ____ 6.456 X 104

8. Order least to greatest
7.07 X 106, 9.35 X 104, 8.17 X 106
8.137 X 10-11, X 10-6, X 10-7
Greatest to Least
6.72 X 10-3, 2.79 X 10-2, X 10-3
6.817 X 10-9, X 10-5, X 10-6