1. Scientific Notation
Provides a way to deal with really large numbers or really small numbers M x 10n 1 < M < 10
4 x 10-15
1.8 x 105
8.60 x 10-1
9.2 x 102
0.4 x 10-14
1.8 x 25
860 x 10-3
x 101
correct
incorrect
Episode 103

2. What does it really mean?
2.1 x 103
Multiply 2.1 by 10, 3 times
Move the decimal point to the right
Number is greater than 1
2100
2.1 x 10-3
Divide 2.1 by 10, 3 times
Move the decimal point to the left
Number is less than 1
0.0021
Episode 103

3. Change from scientific notation to decimal notation
7060
6,000,000
194.9
2.4 x 10-5
7.06 x 103
6 x 106
1.949 x 102
x 10-1
Episode 103

4. Uses for Scientific Notation
Avogadro’s number
602,000,000,000,000,000,000,000
Mass of an electron kg
Atoms in a grain of sand
atoms
Atoms of copper in a penny
atoms Cu
Episode 103

5. Change from decimal notation to scientific notation
6,011,000
0.058 35
6.011 x 106
5.8 x 10-2
3.5 x 101
9.009 x 10-3
Episode 103

6. Write in Scientific Notation
Avogadro’s number
602,000,000,000,000,000,000,000
Mass of an electron kg
Atoms in a grain of sand
atoms
Atoms of copper in a penny
atoms Cu
6.02 x 1023
9.1 x kg
1 x 1019 atoms
6 x 1022 atoms
Episode 103