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 × 108
3 times 10 superscript 8 baseline
3 × 10−9
Responses
3 × 109
3 times 10 superscript 9 baseline
3 × 10−8
3 times 10 superscript negative 8 baseline
3 × 108
3 times 10 superscript 8 baseline
3 × 10−9
Answers
GPT-4o mini
To express the number 0.000000003 in the form of \( a \times 10^n \), we can rewrite it as follows:
1. The number 0.000000003 can be expressed as \( 3 \times 10^{-9} \), since moving the decimal point 9 places to the right gives us 3, and we need to multiply by \( 10^{-9} \) to account for the 9 places we moved.
Thus, the correct response is:
**3 × 10⁻⁹**
1. The number 0.000000003 can be expressed as \( 3 \times 10^{-9} \), since moving the decimal point 9 places to the right gives us 3, and we need to multiply by \( 10^{-9} \) to account for the 9 places we moved.
Thus, the correct response is:
**3 × 10⁻⁹**