Question

how can you write the speed of light (300,000,000 meters per second) in scientific notation?

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.

Step2: Convert 300000000 to scientific notation

For the number 300000000, we move the decimal point 8 places to the left to get $a = 3$. Since we moved the decimal point 8 places to the left, $n=8$. So, $300000000=3\times 10^{8}$.

Answer:

$3\times 10^{8}$