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 to the power of n where 1 ≤ a < 10 and is a one-digit number.(1 point)

Responses

3 × 10 to the power of 9
3 times 10 superscript 9 baseline

3 × 10 to the power of −8
3 times 10 superscript negative 8 baseline

3 × 10 to the power of 8
3 times 10 superscript 8 baseline

3 × 10 to the power of −9

1 answer

To express the number 0.000000003 in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( a \) is a one-digit number, we can rewrite it as follows:

0.000000003 can be expressed as \( 3 \times 10^{-9} \).

Thus, the correct response is:

3 × 10 to the power of −9