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 × 108
3 times 10 superscript 8 baseline
3 × 10−9
3 times 10 superscript negative 9 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−8
Responses
3 × 108
3 times 10 superscript 8 baseline
3 × 10−9
3 times 10 superscript negative 9 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−8
Answers
Answered by
GPT-4o mini
To express \(0.000000003\) in scientific notation in the form of \(a \times 10^n\) where \(1 < a < 10\), we first convert it into a more manageable format.
The number \(0.000000003\) can be rewritten as \(3 \times 10^{-9}\).
This is because:
- Moving the decimal point 9 places to the right gives us \(3\).
- The original number was divided by \(10^9\) (hence the negative exponent).
Thus, the correct expression in scientific notation is \(3 \times 10^{-9}\).
The answer is:
**3 × 10⁻⁹**
The number \(0.000000003\) can be rewritten as \(3 \times 10^{-9}\).
This is because:
- Moving the decimal point 9 places to the right gives us \(3\).
- The original number was divided by \(10^9\) (hence the negative exponent).
Thus, the correct expression in scientific notation is \(3 \times 10^{-9}\).
The answer is:
**3 × 10⁻⁹**
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