1. Multiplying and Dividing in Scientific Notation

2. Multiplying Numbers in Scientific Notation
Multiply the base numbers together.
Then add the exponents.
5.1 x 103 • 1.0 x 104 =

3. Example 1
Given: (3.42 X 105)(4.67 X 109)
Multiply bases: 3.42 X 4.67 = 15.97
Add Exponents: =105+9=1014
Answer: X 1014
Shift Decimal left one place.
Final Answer: X 1014

4. Example 2 Given: (2.93 X 10-2)(8.3 X 10-5)
Multiply Bases: 2.93 X 8.3 =
Add Exponents: =10-2+(-5)=10-7
Answer: X 10-7
Shift decimal left one place.
Final Answer: 2.43 X 10-6

5. Dividing Numbers in Scientific Notation
Divide the base numbers.
Then subtract the exponents.
(6.6 x 106) ÷ (2.0 x 104) =

6. Example 1 Given:8 X 10-3 / 2 X 10-2 Divide bases: 8/2=4
Subtract exponents: (-3)-(-2)=-1
Answer: 4 X 10-1

7. Example 2 Given:3.45 X 102 / 1.23 X 10-5 Divide bases: 3.45/1.23= 2.81
Subtract exponents: (2)-(-5)=7
Answer: 2.81 X 107