There are 4500 such numbers.
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It is 1,000.
Every aspect of mathematics depends upon integers, and even if you don't do any mathematics, you count things with integers. If you even want to know how many guests you are having for dinner, you need to use integers.
The even integers between -4 and 4 are: -4, -2, 0, 2, 4
There are 10 even integers between -10 and 10 (excluding -10 and 10).
1001