To express the time it takes for light to travel one meter, which is \(0.000000003\) seconds, in the form \(a \times 10^n\), we can convert it as follows:
- Identify the coefficient \(a\) and the exponent \(n\).
- We can write \(0.000000003\) as \(3 \times 10^{-9}\).
Thus, in the form \(a \times 10^n\) where \(1 \leq a < 10\), the expression is:
\[ 3 \times 10^{-9} \]
Where \(a = 3\) and \(n = -9\).