1. 7.2 Scientific Notation
Standard: SWBAT covert numbers from Standard Notation to Scientific Notation and from Scientific Notation to Standard Notation.

2. Mini Quiz 31 1. What is the multiplicative inverse of ½ ?
a) -2 b) ½ c) -½ d) 2
2. What is the solution for this equation? |2x – 3| = 5
a) x = -4 or x = 4 b) x = -4 or x = 3
c) x = -1 or x = 4 d) x = -1 or x = 3

3. Overview Recognizing Numbers in Scientific Notation
Writing Number in Scientific Notation
Writing Number in Standard Notation

4. Number Sense
The size of a carbon atom is As Scientific Notation, it’s written as 3.4 x The number goggle is 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 That’s a lot of zeros!!! The Scientifc Notation for goggle is 1 x 10100

5. Properties of Scientific Notation
These numbers are in scientific notation
1.5 x x 10100
5.76 x x 10-6
9.475 x x 1048
These numbers are not in scientific notation
11.5 x x 1050
0.045 x x 10-6
x x 108

6. Properties of Scientific Notation
n x 10b
Always write x 10 to some exponent
Has to be a number between 1 and 10

7. Scientific Notation to Standard Notation
Steps:
1. Look at the Exponent – is the number getting bigger or smaller
2. Bigger – move the decimal to the right
Smaller – move the decimal to the left
3. Count the correct number of spaces to move the decimal.
Example:
3.8 x 105
3.8
380,000
9.35 x 10-4
9.35

8. Scientific Notation to Standard Notation
1.5 x 102
1 x 105
5.76 x 10-2
60.2 x 10-6
947.5 x 10-5
9 x 104
150
100,000
0.0576
90,000

9. Standard Notation to Scientific Notation
Steps: 1. Look at the number, is it big or small? Big – positive exponent Small – negative exponent 2. Where do we want the decimal? 3. Count the correct number of spaces needed to be moved and write the exponent.
Example:
380,000
3.8 x 105
9.35 x 10-4

10. Standard Notation to Scientific Notation
6,000,000
87,140 1
57.81
0.8
6 x 106
8.714 x 104
1 x 100
4.37 x 10-3
5.781 x 101
8 x 10-1

11. Properties of Scientific Notation
These numbers are in scientific notation
1.5 x x 10100
5.76 x x 10-6
9.475 x x 1048
These numbers are not in scientific notation
1.15 x x 1049
11.5 x x 1050
4.5 x x 10-7
0.045 x x 10-6
x x 109
x x 108
Rewrite these numbers in scientific notation.

12. Scientific Notation and Standard Notation
13. At the end of 2010 the population of the world was estimated at 6,800,300,000 people. Write the number in scientific notation x 109 people 14. Light travels at a speed of 3 x 105 kilometers per second. Write the number in standard notation. 300,000 km/sec

13. Wrap Up Scientific Notation and Standard
Writing Number in Scientific Notation: n x 10b
Writing Number in Standard Notation
HW: P #1-22 all
DLUQ: For Scientific notation, what number does n have to be between?