Express 0.0038600 s in scientific notation.

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Question: Express 0.0038600 s in scientific notation.

Option A: '3.8600 × 10–3 s' — This is a correct scientific notation form that matches the given value exactly, since 3.8600 × 10–3 equals 0.0038600. The trailing zeros are significant here, preserving the precision of the original measurement.

Option B: '3.8600 × 103 s' — This would equal 3860 s, which is orders of magnitude larger than the original 0.0038600 s. The exponent is positive instead of negative, so this option is incorrect.

Option C: '3.86 × 10–3 s' — This evaluates to 0.00386 s, which is numerically the same value but uses only three significant figures instead of five. While the magnitude is right, it reduces the precision conveyed by the original 0.0038600 s.

Option D: '0.00386 s' — This is the decimal form of the same value but not expressed in scientific notation. It also has only three significant figures, so it sacrifices the precision shown in the original and is not in the requested scientific notation format.

Option E: '3.86 × 103 s' — Here the exponent is 10^3 (thousand) rather than 10^-3, and the decimal place is misrepresented; this would yield 3860 s, not 0.0038600 s. The magnitude and formatting are both incorrect.

Overall, the most faithful scientific notation that preserves both the value and the precision of 0.0038600 s is the form in Option A. The other options either misplace the exponent, drop precision, or omit the scientific notation format entirely.

Express 0.0038600 s in scientific notation.

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Express 0.0038600 s in scientific notation.

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