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Multiplying and Dividing in Scientific Notation

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 10 5 )( 2 X 10 9 )

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Multiplying and Dividing in Scientific Notation

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

  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: 105X 109=105+9=1014 • Answer: 6.2 X 1014

  5. Example 2 • Given:Find the product of 30000 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: 104+3 • Answer: 15 X 107 • Final Answer: 1.5 X 108

  6. 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: 104-2 = 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 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)

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