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The mass of Earth's moon is about 7 x 10 to the 22 power kilograms. The mass of Jupiter is about 1.89 x 10 to the 27 power kilograms The mass of Jupiter is about how many times the mass of Earth's moon?

Respuesta :

calculista

Answer:

The mass of Jupiter is about 27,000 times the mass of Earth's moon

Step-by-step explanation:

Let

x -----> the mass of Earth's moon

y ----> the mass of Jupiter

we have

[tex]x=7*10^{22}\ kg[/tex]

[tex]y=1.89*10^{27}\ kg[/tex]

we know that

To know how many times the mass of Jupiter is approximately the mass of the earth's moon, divide the the mass of Jupiter by the mass of the earth's moon

[tex]\frac{y}{x}[/tex]

so

[tex]\frac{1.89*10^{27}}{7*10^{22}}=\frac{1.89}{7}(\frac{10^{27}}{10^{22}})=0.27(10^{27-22})=0.27(10^{5})=27,000\ times[/tex]

therefore

The mass of Jupiter is about 27,000 times the mass of Earth's moon

Answer:

2.7×[tex]10^{4}[/tex] or 27000 times

Step-by-step explanation:

Mass of Earth's moon= 7 ×[tex]10^{22}[/tex]

Mass of Jupiter = 1.89 ×[tex]10^{27}[/tex]

Compare,

[tex]\frac{Mass of jupiter}{Mass of Earth}[/tex] =[tex]\frac{1.89}{7}[/tex]×[tex]\frac{10^{27} }{10^{22} }[/tex]

[tex]\frac{Mass of jupiter}{Mass of Earth}[/tex]= 0.27 ×[tex]10^{5}[/tex]

Mass of Jupiter= 2.7×[tex]10^{4}[/tex]

Hence, mass of Jupiter is approximately about 2.7×[tex]10^{4}[/tex] times mass of Earth's moon.

Hence, the correct answer is 2.7×[tex]10^{4}[/tex] or 27000 times

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