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Question
Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10^n
where 1 ≤ a < 10
and is a one-digit number.(1 point)
Responses
3 × 10^−9
3 times 10 superscript negative 9 baseline
3 × 10^8
3 times 10 superscript 8 baseline
3 × 10^9
3 times 10 superscript 9 baseline
3 × 10^−8
3 times 10 superscript negative 8 baseline
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1 answer
To express the number \( 0.000000003 \) in the form of \( a \times 10^n \) with \( 1 \leq a < 10 \), we can rewrite it as follows:
\( 0.000000003 \) can be expressed as:
\[ 3 \times 10^{-9} \]
This is because the decimal point was moved 9 places to the right to convert it to a number between 1 and 10 (which is \( 3 \)), and hence we have a negative exponent reflecting that shift.
Therefore, the correct response is:
3 × 10^−9
