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Multiplying Powers of Ten

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

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Without entering scientific notation into a calculator, evaluate:
\((4.506 \times 10^{4}) \times (1.003 \times 10^{2})\)

\(4.520 \times 10^{6}\)

\(4.520 \times 10^{2}\)

\(4.520 \times 10^{8}\)

\(5.509 \times 10^{6}\)

Multiply the coefficients (\(4.506 \times 1.003 \approx 4.520\)) and add the exponents (\(4 + 2 = 6\)), giving \(4.520 \times 10^{6}\).

Beginning Chemistry v. 1.0