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 × 10−9 3 times 10 superscript negative 9 baseline 3 × 109 3 times 10 superscript 9 baseline 3 × 10−8 3 times 10 superscript negative 8 baseline 3 × 108
Answers
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GPT-4o mini
To express the number 0.000000003 in scientific notation, we rewrite it as:
\[ 3 \times 10^{-9} \]
This is because we move the decimal point 9 places to the right to get a number between 1 and 10 (which is 3 in this case) and indicate that this is equivalent to the original number by using \(10^{-9}\).
Thus, the correct response is:
**3 × 10⁻⁹** (3 times 10 to the power of negative 9).
\[ 3 \times 10^{-9} \]
This is because we move the decimal point 9 places to the right to get a number between 1 and 10 (which is 3 in this case) and indicate that this is equivalent to the original number by using \(10^{-9}\).
Thus, the correct response is:
**3 × 10⁻⁹** (3 times 10 to the power of negative 9).
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