This document provides instructions and examples for performing calculations using scientific notation. It explains how to multiply and divide terms in scientific notation by multiplying or dividing the coefficients and using exponent properties. It then provides examples of multiplying and dividing terms in scientific notation, such as 4 x 103 • 3 x 104 = 12 x 107, and their simplified forms.

1. Write in Scientific Notation
1. 20,300,000
2. 0.0000045
Write in standard form
3. 6.34 x105
4. 5.56 x10-5
POD 10 Sep

2. Multiplying in Scientific
Notation
• Multiply the coefficients
• Use properties of exponents to
multiply the power of 10
• Simplify
4 x 103 • 3 x 104
12 x 107
1.2 x 108
Remember…your
coefficient must be
greater than or equal
to 1, and less than 10

3. Dividing in Scientific
Notation
• Divide the coefficients
• Use properties of exponents to
divide the power of 10
• Simplify
2 x 107 ÷ 4 x 104
.5 x 103
5 x 102
Remember…your
coefficient must be
greater than or equal
to 1, and less than 10

4. Practice
1. 2 x 107 • 4 x 104 = 8 x 107 + 4 = 8 x 1011
2. 5 x 10-6 • 4 x 10-3 = 20 x 10-6 - 3 = 20 x 10-9 = 2.0 x 10-8
3. 3 x 10-3 • 4 x 104 = 12 x 10-3 + 4 = 12 x 101 = 1.2 x 102
4. 8 x 106 4 x 105 = 2 x 106 – 5 = 2 x 101
5. 6 x 103 3 x 10-6 = 2 x 103 –(-6) = 2 x 109
6. 9 x 10-5 2 x 10-2 = 2 x 10-5 –(-2) = 2 x 10-3