The speed of light in a vacuum is \( 299,792,458 \) meters per second. Which number, Written in scientific notation, is the best approximation of the speed of light?
A \( 0.3 \times 10^{7} \) meters per second
\( 30.3 \times 10^{8} \) meters per second
- \( 3.0 \times 10^{7} \) meters per second
\( 13.0 \times 10^{8} \) meters per second

Answer

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Answer

\( 3.0 \times 10^{8} \)

Steps

Step 1 ：\( 299,792,458 = 2.997\times 10^{8}\text{ (adjust mantissa and exponent)}\)

Step 2 ：\(2.997 \approx 3.0\text{ (round to 1 decimal place)}\)

Step 3 ：\( 3.0 \times 10^{8} \)