How many 4 digit numbers are there which are divisible by 2

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The  4-digit numbers are those between 1000 and 9999 inclusive.To count the ones divisibe by 2, we must find the length of the list 1000,1002,1004,....,9996,9998.Dividing each number in the thist list by 2 gives a new list of the same length 500,501,502,...,4998,4999.Thus there are 4999-500+1=4500, 4-digit numbers divisible by 2.
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