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

Question

Responses:

3 × 10^−8

3 × 10^−9

3 × 10^8

3 × 10^9

Answer 1

To express the number \(0.000000003\) in the form of \(a \times 10^n\), we can rewrite it as follows:

1. Move the decimal point 9 places to the right, which will give us \(3\).
2. Since we moved it to the right, we need to multiply by \(10^{-9}\).

Thus, \(0.000000003 = 3 \times 10^{-9}\).

The correct response is:

3 × 10^−9.