How to convert 1 kilogram/cubic meters into grams/cubic centimeters

How to convert 1 kg/m³ into g/cm³

$$1\ \dfrac{\ kg}{m^3}} \\ \\
=\left( \dfrac{1\ kg}{m*m*m}} \right)
* \left( \dfrac{1000\ g}{1\ kg} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
\\ \\
=
\left( \dfrac{1000}{100*100*100} \right)
\left( \dfrac{g}{cm^3} \right)\\\\
=
\left( \dfrac{1}{1000} \right)
\left( \dfrac{g}{cm^3} \right) \\\\
=
10^{-3}
\left( \dfrac{g}{cm^3} \right)\\\\
=
10^{-3}\dfrac{g}{cm^3}$$

$$\boxed{ 1\ \dfrac{\ kg}{m^3} = 10^{-3}\dfrac{g}{cm^3} }$$