kg.The mass of the Earth is approximately 6 x 1024 kg. The mass of the Moon is approximately 7 × 1022Approximately how many times larger is the mass of the Earth compared to the mass of the Moon?A. 1.2 times largerB. 8.6 times largerOC. 86 times largerD. 100 times largerE. 120 times larger

kgThe mass of the Earth is approximately 6 x 1024 kg The mass of the Moon is approximately 7 1022Approximately how many times larger is the mass of the Earth co class=

Respuesta :

Answer

C. 86 times larger

Step-by-step explanation

To compare the mass of the Earth with respect to the mass of the Moon we need to divide both masses and simplify as follows:

[tex]\begin{gathered} \frac{mass\text{ of the Earth}}{mass\text{ of the Moon}}= \\ =\frac{6\times10^{24}}{7\times10^{22}} \\ =\frac{6}{7}\times\frac{10^{24}}{10^{22}} \\ =\frac{6}{7}\times10^{24-22} \\ \approx0.86\times10^2 \\ \operatorname{\approx}0.86\times100 \\ \operatorname{\approx}86 \end{gathered}[/tex]

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