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Multiplying and Dividing in Scientific Notation

Multiplying Numbers in Scientific Notation. Multiply the base numbers together.Then add the exponents to get the power of 10. General formula: (N X 10x) (M X 10y) = (N) (M) X 10x y . Example 1. Given: (3.42 X 105)(4.67 X 109)Multiply bases: 3.42 X 4.67 = 15.97Add Exponents: 105 109=105 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. Multiplying Numbers in Scientific Notation Multiply the base numbers together. Then add the exponents to get the power of 10. General formula: (N X 10x) (M X 10y) = (N) (M) X 10x+y

    3. Example 1 Given: (3.42 X 105)(4.67 X 109) Multiply bases: 3.42 X 4.67 = 15.97 Add Exponents: 105+109=105+9=1014 Answer: 15.97 X 1014 Shift Decimal left one place. Final Answer: 1.597 X 1014

    4. Example 2 Given: (2.93 X 10-2)(8.3 X 10-5) Multiply Bases: 2.93 X 8.3 = 24.319 Add Exponents: 10-2+10-5=10-2+(-5)=10-7 Answer: 24.319 X 10-7 Shift decimal left one place. Final Answer: 2.43 X 10-6

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

    6. Dividing Numbers in Scientific Notation Divide the base numbers. Then subtract the exponents to get the power of 10. General formula: N X 10x / M X 10y = N/M X 10x-y

    7. 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

    8. 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

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

    10. 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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