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Problem 11

Convert the following numbers from scientific notation to standard decimal notation. \(8 .25 \times 10^{-3}\)

Problem 12

Convert the following numbers from scientific notation to standard decimal notation. \(1.4 \times 10^{-5}\)

Problem 13

Multiply each of the following and write the answer in scientific notation. \(\left(2 \times 10^{3}\right)\left(4 \times 10^{4}\right)\)

Problem 14

Multiply each of the following and write the answer in scientific notation. \(\left(5 \times 10^{4}\right)\left(7 \times 10^{8}\right)\)

Problem 15

Multiply each of the following and write the answer in scientific notation. \(\left(3 \times 10^{-2}\right)\left(2 \times 10^{-3}\right)\)

Problem 16

Multiply each of the following and write the answer in scientific notation. \(\left(8 \times 10^{-5}\right)\left(6 \times 10^{9}\right)\)

Problem 17

The mass of a proton is \(1.67 \times 10^{-27} \mathrm{~kg}\). The mass of an electron is \(9.11 \times 10^{-31} \mathrm{~kg}\). Divide these numbers using a calculator to determine approximately how many times greater the mass of a proton is than the mass of an electron.

Problem 18

The mass of a proton is \(1.67 \times 10^{-27} \mathrm{~kg}\). The mass of an electron is \(9.11 \times 10^{-31} \mathrm{~kg}\). What is the approximate mass of one million protons? (Note: one million is \(10^{6} .\) )

Problem 19

The mass of a proton is \(1.67 \times 10^{-27} \mathrm{~kg}\). The mass of an electron is \(9.11 \times 10^{-31} \mathrm{~kg}\). What is the approximate mass of one billion protons? (Note: one billion is \(10^{9} .\) )

Problem 21

Write each number in engineering notation, then in scientific notation. The world population is around 7.68 billion people. \(^{3}\)

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