1. Scientific Notation

2. Why Do We Need Scientific Notation?
We deal with some very large numbers!
Mass of Earth = kg
And some very small numbers
Mass of a proton = kg
Scientific notation makes it easier for us to record data and do calculations.

3. Putting Numbers Into Scientific Notation
EXAMPLE: 506,000,000
Insert a decimal point after the first non-zero number
Drop all zeros off the beginning or end of the number
5.06
Multiply by 10
5.06 x 10
Write the exponent
Count how many spaces you moved the decimal point
Moved to the right = negative exponent
Moved to the left = positive exponent
5.06 x 10 8

4. Practice Put the following numbers into scientific notation 3450000000
Write the following as real numbers
2.1 x 104
8.992 x 10 -7

5. Practice Put the following numbers into scientific notation: 305400000
Write the following as real numbers:
5.43 x 107
3.02 x 10-6
9.8 x 102
5.44 x 10-10

6. Rewrite this table in scientific notation.

7. How Many sig figs in each number?
2000
0.2
20.00 20
52.20
0.900
.0042
1.0000
4.0 40
40.0
0.0040