THE DISTANCE FROM EARTH TO MOON IS ABOUT 22^4 MILES . THE DISTANCE FROM EARTH TO NEPTUNE IS ABOUT 22^7 MILES . WHICH DISTANCE IS GREATER ? ABOUT HOW MANY TIMES GREAT ?
Your numbers are incorrect.
The earth-moon distance is 22*10^4 miles
The earth-Neptune distance is 22*10^7 miles
The numbers tell you which is farther away. For the "number of times", divide the larger number by the smaller number.
Using mean distances, the mean earth-moon distance is ~239x10^3 miles.
The mean distance of the earth to the sun is ~93x10^6 miles.
The mean distance of neptune from the sun is 2,790x10^6 miles.
Therefore, the mean earth-neptune distance could be 2,696x10^6 miles when they are both on the same side of the sun or 2,883x10^6 miles when they are on opposite sides of the sun.
The mean earth-neptune distance might then be considered to be ~2,790x10^6 miles.
Clearly, the earth-neptune distance is greater. The mean earth-neptune distance is ~11,673 times greater than the earth-moon distance.
Thanks to Will for catching my error in the Neptune distance. I was assuming the question only had an exponent notation error.
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To compare the distances from Earth to the Moon and to Neptune, we need to calculate the actual values instead of using the exponent notation.
First, let's calculate the distance from Earth to the Moon. The distance given is 22^4 miles.
To get the actual value, we need to raise 22 to the power of 4:
22^4 = 22 × 22 × 22 × 22 = 48,128 miles
Now, let's calculate the distance from Earth to Neptune. The distance given is 22^7 miles.
To get the actual value, we need to raise 22 to the power of 7:
22^7 = 22 × 22 × 22 × 22 × 22 × 22 × 22 = 19,448,528 miles
Comparing the two distances:
Distance from Earth to the Moon: 48,128 miles
Distance from Earth to Neptune: 19,448,528 miles
The distance from Earth to Neptune is greater than the distance from Earth to the Moon.
To find out how many times greater the distance from Earth to Neptune is compared to the distance from Earth to the Moon, we can divide the distance from Earth to Neptune by the distance from Earth to the Moon:
19,448,528 miles / 48,128 miles ≈ 404.21
Therefore, the distance from Earth to Neptune is approximately 404.21 times greater than the distance from Earth to the Moon.