Question

roughlt it takes light less than 0.000000003 of a second to travel a one-meter distance. express your answer in the form of a x 10^n where 1 ≤ a < 10 and is a one digit number.

Answer 1

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:

1. Identify the coefficient \(a\) and the exponent \(n\).
2. 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 \(n = -9\).