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Scientific Notation

Scientific Notation. If numbers are very large, like the mass of the Earth 5.900000000000000000000000 kg. Or very small like the mass of an electron : .000000000000000000000000000000911 kg. then standard decimal notation is very cumbersome, so we use scientific notation.

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Scientific Notation

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  1. Scientific Notation If numbers are very large, like the mass of the Earth 5.900000000000000000000000 kg Or very small like the mass of an electron : .000000000000000000000000000000911 kg then standard decimal notation is very cumbersome, so we use scientific notation.

  2. Scientific Notation A number in scientific notation has two parts: 1st part: a number between 1 and 10 2nd part: 10 to some power. Example: 5.9 x 1024 1024 Means move the decimal 24 places to the right. Example: 6.2 x 10-4 10-4 Means move the decimal 4 places to the left.

  3. Examples – Put the number in Scientific Notation a. 345000 Answer: 345000 = 3.45 x 105 b. .00034 Answer: .00034 = 3.4 x 10-4

  4. Multiplication and Division

  5. Examples Simplify: (2 x 103)(4 x 106) = (2)(4) x 103(106) = 8 x 109 Simplify: (4 x 103)/(2 x 106) = (4)/(2) x 103/106= 2 x 10-3 Simplify: (2 x 103)3 = 23x (103 )3= 8 x 109

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