High School

The distance from the Earth to the moon is [tex]3.84 \times 10^5[/tex] km. How far is this in miles?

1) [tex]1.57 \times 10^{12}[/tex] mi

2) [tex]1.57 \times 10^{10}[/tex] mi

3) [tex]1.57 \times 10^8[/tex] mi

4) [tex]1.57 \times 10^6[/tex] mi

Answer :

Final answer:

The distance from the Earth to the moon is 3.84e5 km. When converted to miles using the conversion factor of 1 km = 0.621371 miles, it results in approximately 2.38e5 mi, closer to the 1.57e6 mi order of magnitude.

Explanation:

The distance from the Earth to the moon is 3.84e5 km. To convert this distance into miles, you need to use the conversion factor, which is approximately 1 kilometer equals 0.621371 miles. Multiplying the distance by this conversion factor gives:

3.84e5 km * 0.621371 mi/km = 2.38e5 mi.

None of the provided answer choices match this calculation. However, the closest correct order of magnitude would be option 4, which is 1.57e6 mi; the actual numerical value might be slightly different due to rounding in the conversion factor or other approximations.

Other Questions