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 x 10" where
1 < a < 10 and is a one-digit number.

1 answer

To express \( 0.000000003 \) in the form of \( a \times 10^n \) where \( 1 < a < 10 \) and \( n \) is an integer, we can rewrite the number.

First, we can express \( 0.000000003 \) as:

\[ 3 \times 10^{-9} \]

Here, \( a = 3 \) and \( n = -9 \). Since \( 1 < 3 < 10 \), this form satisfies the condition.

Thus, \( 0.000000003 \) can be expressed as:

\[ 3 \times 10^{-9} \]