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)

1 answer

To express the number \(0.000000003\) in the form of \(a \times 10^n\) where \(1 \leq a < 10\):

  1. First, rewrite the number in scientific notation: \[ 0.000000003 = 3 \times 10^{-9} \]

Here, \(a = 3\) and \(n = -9\).

So, in the form \(a \times 10^n\), it is \(3 \times 10^{-9}\).