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Multiply. \[ \left(9.4 \times 10^{4}\right)\left(8.5 \times 10^{-8}\right) \]

Ask by Schwartz Park. in the United States
Mar 15,2025

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Answer

The result is \(0.00799\).

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The Deep Dive

To multiply the two numbers in scientific notation, you can multiply the coefficients and then add the exponents. First, multiply the coefficients: \[ 9.4 \times 8.5 = 79.9. \] Next, add the exponents: \[ 10^{4} \times 10^{-8} = 10^{4 + (-8)} = 10^{-4}. \] Now combine the results: \[ 79.9 \times 10^{-4}. \] To express it in proper scientific notation, adjust the coefficient: \[ 7.99 \times 10^{1} \times 10^{-4} = 7.99 \times 10^{-3}. \] Thus, the final result is: \[ 7.99 \times 10^{-3}. \]

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