Question

The moon is approximately 400,000 kilometers from Earth. The moon gets approximately 40 millimeters farther away from the earth every year. 1 millimeter is 1 x 10^-6 kilometers. In approximately how many years will the moon be twice as far from the Earth as it is now, assuming that nothing else changes?

Answer 1

1 × 10^10 years

Step-by-step explanation:

The current distance of the Moon from the Earth = 400,000 km

Every year, the Moon moves: 40 millimeters away from the Earth

From the question:

1 millimeter = 1 x 10^-6 kilometers

40 millimeters =

= 40 ×1 × 10^-6km

= 4 × 10^-5km

= 0.00004km

In approximately how many years will the moon be twice as far from the Earth as it is now, assuming that nothing else changes?

Twice as far = 400,000km × 2

= 800,000km

0.00004km = 1 year

400000km =

= 400,000km/0.00004km

= 10000000000years

= 1 × 10^10 years