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

Question

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

3 × 10^8
3 times 10 superscript 8 baseline

3 × 10^9
3 times 10 superscript 9 baseline

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

3 × 10^−9

Answer 1

To express the number \(0.000000003\) in the form of \(a \times 10^n\), we first rewrite it in standard scientific notation.

The number \(0.000000003\) can be rewritten as:

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

Here, \(a = 3\) and \(n = -9\), which satisfies the condition \(1 \leq a < 10\).

Thus, the correct response is:

3 × 10^−9.