Respuesta :

Given data:

* The mass of Earth is,

[tex]M=5.98\times10^{24}\text{ kg}[/tex]

* The mass of Moon is,

[tex]m=7.35\times10^{22}\text{ kg}[/tex]

Solution:

The percentage of the Moon mass in comparison to the Earth's mass is,

[tex]P=\frac{m}{M}\times100\text{ \%}[/tex]

Substituting the known values,

[tex]\begin{gathered} P=\frac{7.35\times10^{22}}{5.98\times10^{24}}\times100\text{ \%} \\ P=1.23\times10^{22-24}\times100\text{ \%} \\ P=1.23\times10^{-2}\times100\text{ \%} \\ P=1.23\times\frac{100}{100}\text{ \%} \\ P=1.23\text{ \%} \end{gathered}[/tex]

Thus, the Moon's mass is 1.23 percent of mass of Earth.