1. Standard and Scientific Notation

2. What are they?
Standard Notation: a number written as a digit and nothing else.
Scientific Notation: a way to write numbers that makes it easier to write large and small numbers.
Written in 2 parts:
A digit between 1 and 9.9 (decimal point is after the first number)
X 10 to a power

3. Converting from standard notation to scientific notation:
All you are doing is moving the decimal place!
Find the decimal, mark if necessary.
Mark where the decimal needs to go.
Count how many places the decimal moved: this is your power.
Decimal left: positive exponent
Decimal right: negative exponent
Write the number in this format: a X 10b

4. Examples: Stand Up, Hand Up, Pair-Up
3,462
0.612
749
0.0112
88,996

5. Example Answers
3.462 X 103
6.12 X 10-1
7.49 X 102
X 10-6
1.12 X 10-2
X 104

6. Convert from scientific notation to standard notation
Look at the exponent. This is how far you move the decimal.
Positive number: move the decimal right.
Negative number: move the decimal left.
Drop the X 10b
Move the decimal and fill in the zeroes for spaces.

7. Examples
2.602 X 104
3.21 X 10-2
X 104
6.5 X 10-6
7.945 X 105
X 100

8. Example Answers
26020
0.0321
18,
794,500

9. In the given pairs, which number is bigger?
Hint: It may help to convert them from scientific notation to standard numbers to compare.
0.45 or 5.6 X 10-2
6.45 X 105 or X 108
5 X or 6 X 10-3
54.3 X 10-5 or 5.43 X 10-4