1. Multiplying and Dividing in Scientific Notation
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2. Warm Up

3. Multiplying Numbers in Scientific Notation
Multiply the coefficient numbers together.
Then add the exponents to get the power of 10.

4. Example 1
Given: (3.1 X 105)(2 X 109)
Multiply coefficients: 3.1 X 2 = 6.2
Add Exponents: 105 X 109=105+9=1014
Answer: 6.2 X 1014

5. Example 2
Given: Find the product of and 5000 using scientific notation
Convert both numbers: 3.0 X 104 and
5.0 X 103
Multiply the coefficients: 3 X 5 = 15
Add exponents:
Answer: 15 X 107
Final Answer: 1.5 X 108

6. Practice Multiplying in Scientific Notation (pdf)
Practice Worksheet
Practice Multiplying in Scientific Notation (pdf)
Answers to Worksheet

7. Dividing Numbers in Scientific Notation
Divide the coefficients.
Then subtract the exponents to get the power of 10.

8. Example 1 Given:8 X 104 / 2 X 102 Divide coefficients: 8/2=4
Subtract exponents: = 102
Answer: 4 X 102

9. Example 2 Given:9 X 102 / 3 X 10-5 Divide coefficients: 9/3= 3
Subtract exponents: 10(2)-(-5)=107
Answer: 3 X 107

10. Practice Dividing in Scientific Notation (pdf)
Practice Worksheet
Practice Dividing in Scientific Notation (pdf)
Answers to Worksheet

11. Links for more information and practice
Math Skills
Multiplying and Dividing with Sci Not (ws 1)
Multiplying and Dividing with Sci Not (ws 2)