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

Question

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

3 × 109
3 times 10 superscript 9 baseline

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

3 × 108
3 times 10 superscript 8 baseline

3 × 10−8
3 times 10 superscript negative 8 baseline
Skip to navigation

Answer 1

To express the number \(0.000000003\) in the form \(a \times 10^n\), we need to convert it to scientific notation.

1. Move the decimal point 9 places to the right to get \(3\).
2. This means we multiply \(3\) by \(10^{-9}\).

Thus, \(0.000000003\) can be expressed as:

\[ 3 \times 10^{-9} \]

Therefore, the correct answer is:

3 × 10⁻⁹