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What is the quotient of \( 5.348 \times 10^{7} \) and \( 9.55 \times 10^{4} \) expressed in scientific notation? Answer Attempt 1 out of 2 Answer: \( \square \times 10 \square \) Submit Answer

Ask by Martin Mann. in the United States
Feb 21,2025

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The quotient is \(5.6 \times 10^{2}\) or 560.

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Beyond the Answer

To find the quotient of \( 5.348 \times 10^{7} \) and \( 9.55 \times 10^{4} \), we divide the coefficients and subtract the exponents. First, divide the coefficients: \( \frac{5.348}{9.55} \approx 0.5605 \). Next, subtract the exponents: \( 7 - 4 = 3 \). Now, we combine these results: \( 0.5605 \times 10^{3} \). To express this in proper scientific notation, we need the coefficient to be between 1 and 10. So, we can adjust it: \( 5.605 \times 10^{-1} \times 10^{3} = 5.605 \times 10^{2} \). Thus, the final answer in scientific notation is: \( 5.605 \times 10^{2} \).

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