The Bookworm And The Encyclopedias

A simple math puzzle.

A set of 10 encyclopedias is sitting on a bookshelf in left-to-right numerical order.

Each single volume contains 1,000 pages.    

A bookworm eats its way directly and linearly through them in a straight line.

It starts on page 1 of volume 1.

It ends on page 1,000  of volume 10.

Question:    Not counting any covers, flysheets, etc., how many pages does the bookworm eat ?

I intend to post my answer next Monday,
or before that if anyone comments with a solution that I agree with.

The answer is now posted: The Bookworm And The Encyclopedias - The Solution