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Scientific Notation: Product of Small Numbers

publish date: 1969/12/31 00:00:00 UTC

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Evaluate the following product and express the answer in scientific notation:
\(0.00000000552 \times 0.0000000006188\)

\(3.42 \times 10^{-17}\)

\(5.52 \times 10^{-18}\)

\(3.42 \times 10^{-18}\)

\(3.42 \times 10^{-19}\)

Correct Answer

Explanation

Rewrite each number in scientific notation: \(5.52 \times 10^{-9}\) and \(6.188 \times 10^{-10}\). Multiply the coefficients (\(5.52 \times 6.188 \approx 34.2\)) and add the exponents (\(-9 + -10 = -19\)), giving \(34.2 \times 10^{-19}\), which normalizes to \(3.42 \times 10^{-18}\).

Reference

Beginning Chemistry v. 1.0

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