Scientific Notation and Archimedes

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Chapter 2

• Scientific Notation and Archimedes

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Scientific Notation
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x 10n

• greater than or equal to 1 and less than 10.
• n any number -2,-1,0,1,2

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Scientific Notation
.00000775 m
20 700 000 000 000 000 000 m
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Scientific Notation
7.75 x 10-6 m
2.07 x 1019 m
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Scientific Notation
7.75 x 10-6 m
2.07 x 1019 m
Now multiply them together
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• (7.75 x 10-6 m) x (2.07 x 1019 m)
• 1.60425 x 1014

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• (7.75 x 10-6 m) x (2.07 x 1019 m)
• 1.60425 x 1014
• 1.60 x 1014 m2

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There are 802 000 000 000 000 000 000 000 copper
atoms in this sample of copper sulfate.
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8.02 x 1023 Cu atoms
There are 802 000 000 000 000 000 000 000 copper
atoms in this sample of copper sulfate.
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The mass of a proton is 0.000 000 000 000 000
000 000 001 672 67g
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1.67267 x 10-24g
The mass of a proton is 0.000 000 000 000 000
000 000 001 672 67g
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Practice Problem

• 8.02 x 1023 copper atoms
• Each copper atom contains 29 protons
• Mass of a proton is 1.67267 x 10-24 grams

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Practice Problem

• 8.02 x 1023 copper atoms.
• Each copper atom contains 29 protons
• Mass of a proton is 1.67267 x 10-24 grams
• What is the mass of all of coppers protons in
  the sample?

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Practice Problem

• 8.02 x 1023 copper atoms.
• Each copper atom contains 29 protons
• Mass of a proton is 1.67267 x 10-24 grams
• What is the mass of all of coppers protons in
  the sample?
• (8.02 x 1023)(29)(1.67267 x 10-24 g)
  38.90295886g

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Practice Problem

• 8.02 x 1023 copper atoms.
• Each copper atom contains 29 protons
• Mass of a proton is 1.67267 x 10-24 grams
• What is the mass of all of coppers protons in
  the sample?
• (8.02 x 1023)(29)(1.67267 x 10-24 g)
  38.90295886g 38.9g

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Archimedes
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Archimedes and the Golden Crown
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Homework

• Worksheet Scientific Notation