College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2: 119


The mass of $20,000$ molecules of oxygen is $1.06\times10^{-18}$ gram.

Work Step by Step

The mass of one oxygen molecule is $5.3\times10^{-23}$ gram. Find the mass of $20,000$ molecules of oxygen. Express the answer in scientific notation. $$5.3\times10^{-23}\times20,000$$ To convert a number into scientific notation, move the decimal point so that you have a result whose absolute value is between one and ten, including one. Multiply the result by ten with an exponent equal to the number of places you moved the decimal point. If the decimal was moved to the left, the exponent will be positive. If the decimal was moved to the right, the exponent will be negative. If the decimal was not moved, the exponent will be zero. $=5.3\times10^{-23}\times2\times10^{4}$ Regroup like terms then simplify. $=(5.3\times2)\times(10^{-23}\times10^{4}$) $=10.6\times10^{(-23+4)}$ $=(1.06\times10^{1})\times10^{-19}$ $=1.06\times10^{(1+(-19))}$ $=1.06\times10^{-18}$
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