Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.7 - Scientific Notation - Exercise Set - Page 91: 72


$80,000$ hydrogen atoms weigh $1.336 \times 10^{-19}$ gram

Work Step by Step

Let x be the mass of 80,000 hydrogen atoms Mass of one hydrogen atom = $1.67 \times 10^{-24}$ gram Write the statement $80,000$ hydrogen atoms in scientific notation to obtain: $$8 \times 10^{4}$$ Solve for $x$: $x (gram) = 8 \times 10^{4} atoms \times \frac{1.67 \times10^{-24} gram}{1 atom}$ Recall the multiplication of numbers in scientific notation: $(a\times10^{n})(b\times10^{m}) = (a\times b) \times 10^{n+m}$ Thus, $$x(gram) = (8\times1.67) \times 10^{4+(-24)}$$ $$x(gram) =13.36 \times 10^{-20}$$ $80,000$ hydrogen atoms weigh $1.336 \times 10^{-19}$ gram
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