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Scientific Notation

Scientific Notation. Provides a way to deal with really large numbers or really small numbers M x 10 n 1 < M < 10. 4 x 10 -15 1.8 x 10 5 8.60 x 10 -1. 9.2 x 10 2 0.4 x 10 -14 1.8 x 2 5 860 x 10 -3 9.898989887 x 10 1. correct incorrect incorrect incorrect correct.

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Scientific Notation

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  1. Scientific Notation Provides a way to deal with really large numbers or really small numbers M x 10n 1 < M < 10 4 x 10-15 1.8 x 105 8.60 x 10-1 9.2 x 102 0.4 x 10-14 1.8 x 25 860 x 10-3 9.898989887 x 101 correct incorrect incorrect incorrect correct Episode 103

  2. What does it really mean? • 2.1 x 103 • Multiply 2.1 by 10, 3 times • Move the decimal point to the right • Number is greater than 1 • 2100 • 2.1 x 10-3 • Divide 2.1 by 10, 3 times • Move the decimal point to the left • Number is less than 1 • 0.0021 Episode 103

  3. Change from scientific notation to decimal notation • 2.4 x 10-5 • 7.06 x 103 • 6 x 106 • 1.949 x 102 • 2.5007 x 10-1 • 0.000024 • 7060 • 6,000,000 • 194.9 • 0.25007 Episode 103

  4. Uses for Scientific Notation Avogadro’s number 602,000,000,000,000,000,000,000 Mass of an electron 0.00000000000000000000000000000091 kg Atoms in a grain of sand 10000000000000000000 atoms Atoms of copper in a penny 60000000000000000000000 atoms Cu Episode 103

  5. Change from decimal notation to scientific notation • 6,011,000 • 0.058 • 35 • 0.009009 • 6.732104 • 6.011 x 106 • 5.8 x 10-2 • 3.5 x 101 • 9.009 x 10-3 • 6.732104 Episode 103

  6. Write in Scientific Notation Avogadro’s number 602,000,000,000,000,000,000,000 Mass of an electron 0.00000000000000000000000000000091 kg Atoms in a grain of sand 10000000000000000000 atoms Atoms of copper in a penny 60000000000000000000000 atoms Cu 6.02 x 1023 9.1 x 10-31 kg 1 x 1019 atoms 6 x 1022 atoms Episode 103

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