1. Scientific Notation with Negative Powers of 10
2.3

2. Page 45 with a partner

3. Rules Writing numbers in Scientific Notation
When I move the decimal to right, the exponent is negative
When I move the decimal to the left the exponent is positive
Writing numbers in Standard Notation
When I move the decimal to the right, the number is larger
When I move the decimal to the left, the number is smaller
HINT: Think about the number line

4. Writing numbers in scientific notation

5. Example 1
The average size of an atom is about centimeters across. Write the average size of an atom in scientific notation
Step 1: Place the decimal point
3.0
Step 2: Count the number of places you moved the decimal point 8
Step 3: Any time you move the decimal point to the right…. The exponent to the power of 10 is negative
3.0 x 10-8

6. Express 0.0000000902 in scientific notation
Where would the decimal go to make the number between 1 and 10?
9.02
The decimal was moved how many places? 8
When the original number is less than 1, the exponent is negative
9.02 x 10-8

7. Write 28750.9 in scientific notation
x 10-5
x 10-4
x 104
x 105

8. Write 53,142,000 in scientific notation
x 102
x 103
x 104
x 105
x 106
x 107
x 10-7

9. Practice
Page 46 #4-6

10. Writing numbers in standard notation

11. Example 2:
Platelets are one component of human blood. A typical platelet has a diameter of approximately 2.33 x 10-6 meter. Write 2.33 x in standard notation.
Step 1: Use the exponent to the power of 10 to see how many places you need to move the decimal point
6 places
Step 2: Place the decimal point. Since you are going to write a number less than 2.33, move the decimal point to the left. Add place holder zeroes if necessary.

12. Another Example: Write 8.397 x 10-1 in standard form
Write the decimal number
8.397
Move the decimal point the number of places specified by the powers of ten: to the left since it is negative
x place
Rewrite the number in integer/standard form
0.8397

13. Examples Express 1.8 x 10-4 in decimal notation
Expression 4.8 x 106 in decimal notation
4,800,000

14. Practice
Pg 47 #7-11