roughly it takes light less than 0.0000000003 of a second to travel a one-meter distance. express this number 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 light to travel one meter (which is less than 0.0000000003 seconds) in the form \( a \times 10^n \) where \( 1 < a < 10 \), let's first convert the number into a suitable scientific notation.

The number given is \( 0.0000000003 \) seconds. We can rewrite this as:

\[ 0.0000000003 = 3.0 \times 10^{-10} \]

Here, \( a = 3.0 \) and \( n = -10 \), which meets the condition \( 1 < a < 10 \).

So, the answer in the required form is:

\[ 3.0 \times 10^{-10} \]