rewrite the following statement using a number in scientific notation. the diameter of a certain atom is…

Explanation:

Step1: Recall nano - meter conversion

1 nanometer ($nm$)=$10^{-9}$ meters. So 0.15 nanometers = 0.15×$10^{-9}$ meters.

Step2: Rewrite in scientific notation

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer. For 0.15×$10^{-9}$, we can rewrite 0.15 as $1.5\times10^{-1}$. Then 0.15×$10^{-9}=(1.5\times10^{-1})\times10^{-9}$.

Step3: Use exponent rule

According to the rule $a^{m}\times a^{n}=a^{m + n}$, we have $(1.5\times10^{-1})\times10^{-9}=1.5\times10^{-1+( - 9)}=1.5\times10^{-10}$ meters.

Answer:

$1.5\times10^{-10}$