1. Scientific Notation
CP Chemistry

2. What is Scientific Notation?
Scientific notation expresses numbers as factor of two number – a number between and ten raised to a power or exponent.
Example: 1.0 x 104

3. Converting from Decimal Form into Scientific Notation
Steps: 1. Move the decimal so the base number is between 1-10.
2. The number of places you move the decimal represents the exponent.
3. If you move the decimal to the left, the exponent will be positive.
4. If you move the decimal to the right, the exponent will be negative.

4. Move the decimal to the left 3 places
Examples
Convert 5,796.2 into Scientific Notation
5,796.2 =
x 103
Move the decimal to the left 3 places
Exponent is positive
Base Number is between 1-10

5. Move the decimal to the right 1 place
Examples
Convert into Scientific Notation =
9.81 x 10-1
0.981
Exponent is negative
Base Number is between 1-10
Move the decimal to the right 1 place

6. Converting from Scientific Notation into Decimal Form
Rules:
The exponent represents the number of places you move the decimal.
Move the decimal to the right if the exponent is positive.
Move the decimal to the left if the exponent is negative.

7. Move the decimal 3 places to the left
Examples
Convert x into Decimal Form
000
7.683 x 10-3 =
To the left
Move 3 decimal places
Move the decimal 3 places to the left

8. Move the decimal 4 places to the right
Examples
Convert x 104 into Decimal Form
x 10 4 =
17925.
To the right
Move 4 decimal places
Move the decimal 4 places to the right

9. Practice Problems Convert the following into Scientific Notation
Answers
= 8.93 x 10-3
= x 106
= x 102
9,842,527
789.1

10. Practice Problems Answers = 2,683,000 2.683 x 106 = 0.0000567
Convert the following into Decimal Form
Answers
= 2,683,000 =
= 3260
2.683 x 106
5.67 x 10-5
3.26 x 103