 # Multiplying and Dividing in Scientific Notation

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Multiplying and Dividing in Scientific Notation
A.Oman Ellerbruch.Nmu.Edu

Warm Up

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

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

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

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

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

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

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

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