Is the moon closer to earth than the sun?

How can I prove to my 9 year old daughter that the moon is closer to earth than the sun? At the moment, she has read it in books and this information

How can I prove to my 9 year old daughter that the moon is closer to earth than the sun? At the moment, she has read it in books and this information has the same status as unicorns and fairy princesses!

or:How can I prove to my 9 year old daughter that the moon is closer to earth than the sun? At the moment, she has read it in books and this information has the same status as unicorns and fairy princesses!

or:These are the exact words from Google, just to cite my answer. The Moon is about 400 times smaller than the Sun, but it also just happens to be about 400 times closer. The result is that from Earth, they appear to be the same size. And when its orbit around Earth takes the Moon directly between Earth and the Sun, the Moon blocks our view of the Sun in what we call a solar eclipse

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