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 × 10n where 1 < a < 10 and is a one-digit number.(1 point)
Responses

3 × 109
3 times 10 superscript 9 baseline

3 × 10−8
3 times 10 superscript negative 8 baseline

3 × 10−9
3 times 10 superscript negative 9 baseline

3 × 108
Responses

3 × 109
3 times 10 superscript 9 baseline

3 × 10−8
3 times 10 superscript negative 8 baseline

3 × 10−9
3 times 10 superscript negative 9 baseline

3 × 108
Answers
GPT-4o mini
To express the number \( 0.000000003 \) in the form of \( a \times 10^n \) where \( 1 < a < 10 \), we first convert the number into scientific notation.
The number \( 0.000000003 \) can be expressed as:
\[
3 \times 10^{-9}
\]
This is because moving the decimal point 9 places to the right gives us \( 3 \), and we counter this by multiplying by \( 10^{-9} \).
Therefore, the correct response is:
**\( 3 \times 10^{-9} \)**.
The number \( 0.000000003 \) can be expressed as:
\[
3 \times 10^{-9}
\]
This is because moving the decimal point 9 places to the right gives us \( 3 \), and we counter this by multiplying by \( 10^{-9} \).
Therefore, the correct response is:
**\( 3 \times 10^{-9} \)**.