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This chapter introduces scientific notation and its application in solving problems related to Archimedes and the Golden Crown. Learn how to convert large and small numbers into scientific notation and perform calculations using this notation.
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Chapter 2 Scientific Notation and Archimedes
# x 10n • # = greater than or equal to 1 and less than 10. • n = any number …-2,-1,0,1,2…
Scientific Notation .00000775 m 20 700 000 000 000 000 000 m
Scientific Notation 7.75 x 10-6 m 2.07 x 1019m
Scientific Notation 7.75 x 10-6 m 2.07 x 1019m Now multiply them together
(7.75 x 10-6m) x (2.07 x 1019m) = 1.60425 x 1014
(7.75 x 10-6m) x (2.07 x 1019m) = 1.60425 x 1014 1.60 x 1014 m2
Write the number in scientific notation. There are 802 000 000 000 000 000 000 000 copper atoms in this sample of copper sulfate.
8.02 x 1023 Cu atoms There are 802 000 000 000 000 000 000 000 copper atoms in this sample of copper sulfate.
Write the number in scientific notation. The mass of a proton is 0.000 000 000 000 000 000 000 001 672 67g
1.67267 x 10-24g The mass of a proton is 0.000 000 000 000 000 000 000 001 672 67g
Practice Problem • 8.02 x 1023 copper atoms
Practice Problem • 8.02 x 1023 copper atoms • Each copper atom contains 29 protons
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
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 copper’s protons in the sample?
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 copper’s protons in the sample? • (8.02 x 1023)(29)(1.67267 x 10-24 g)
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 copper’s protons in the sample? • (8.02 x 1023)(29)(1.67267 x 10-24 g) = 38.90295886g
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 copper’s protons in the sample? • (8.02 x 1023)(29)(1.67267 x 10-24 g) = 38.90295886g = 38.9g
Homework • Worksheet: Scientific Notation