Answer:
a) The value of [tex]n[/tex] is 81.30.
b) The value of [tex]n[/tex] is 81.
Step-by-step explanation:
a) The value of [tex]n[/tex] is the ratio of the mass of the Earth to the mass of the Moon. That is:
[tex]n = \frac{5.972\times 10^{24}\,kg}{7.346\times 10^{22}\,kg}[/tex]
[tex]n = 81.30[/tex]
The value of [tex]n[/tex] is 81.30.
b) If [tex]n[/tex] is a integer, then the result must have only two significant figures. Given the result, we must approximate to the closest integer. That is:
[tex]n = 81[/tex]
The value of [tex]n[/tex] is 81.