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You're asking for every other number from 1,000 to 9,998 . There are 4,500 of them.

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Q: How many 4-digit positive even integers are there?
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How many even 2-digit positive integers less than 80 are there?

There are 80 positive integers from 1 to 80.Half of them are even, the other half are odd.So there are 40 even integers from 1 to 80.2, 4, 6, and 8 have only 1 digit.All the rest have 2 digits.So the answer is (40 - 4) = 36 .However, as the question asked "less than 80" we can not include 80 and so the answer is 35.