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\begin{tabular}{l} Which is equivatent to \( 4.456 \times 10^{-5} \) in standard \\ form? \\ \hline O 0.004456 \\ \hline O..00000456 \\ \hline O.0.004456 \\ \hline O.0.0004456 \\ \hline\end{tabular}

Ask by Lee Watson. in the United States
Mar 10,2025

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Tutor-Verified Answer

Answer

\(0.00004456\)

Solution

To convert \(4.456 \times 10^{-5}\) to standard form, we shift the decimal point 5 places to the left. Here is the step‐by‐step process: 1. Start with the number: \[ 4.456 \] 2. Multiplying by \(10^{-5}\) means moving the decimal 5 places to the left. Moving the decimal point once gives 0.4456, twice gives 0.04456, three times gives 0.004456, four times gives 0.0004456, and five times gives: \[ 0.00004456 \] 3. Thus, in standard form: \[ 4.456 \times 10^{-5} = 0.00004456 \] So the correct answer is \(0.00004456\).

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Bonus Knowledge

To express \( 4.456 \times 10^{-5} \) in standard form, we move the decimal point five places to the left, resulting in \( 0.00004456 \). However, this is not in the options provided. None of the options presented correspond to the correct representation of the scientific notation, indicating a potential error in the options. Make sure to double-check the placement of the decimal point or the provided answers! When converting scientific notation to standard form, a common mistake is miscounting how many places to move the decimal point. Always remember that moving to the left corresponds with negative exponents, while moving to the right corresponds with positive exponents! Keep practicing to reinforce your understanding of this concept.

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