As Sarah says, on average the moon is about 380,000 km away, but the distance actually changes a lot! The orbit of the moon isn’t actually a circle, it’s an ellipse (squashed circle, similar to a rugby ball outline), which means some times it’s closer and sometimes it’s further away. At the closest point, it’s only about 362,000 km away and at the furthest point it’s more than 405,000 km away, which is difference of about 43,000 km! That’s the same distance as going all the way around the Earth and back to where you started! It’s also the reason why the moon sometimes looks bigger and sometimes looks smaller.
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