There are 900 four-digit even numbers divisible by 5.
To arrive at this answer, consider the following:
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Four-digit number range: The smallest four-digit number is 1000, and the largest is 9999.
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Divisibility by 5: A number is divisible by 5 if its last digit is either 0 or 5.
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Even number requirement: A number is even if its last digit is 0, 2, 4, 6, or 8.
Therefore, a number that is both divisible by 5 and even must end in 0.
The smallest four-digit number ending in 0 is 1000, and the largest is 9990.
To find the total count, we can use the following approach:
- The numbers are in the sequence: 1000, 1010, 1020, ..., 9990.
- Divide each number in the sequence by 10: 100, 101, 102, ..., 999.
- The number of integers in the sequence from 100 to 999 (inclusive) is calculated as: 999 - 100 + 1 = 900.
Therefore, there are 900 four-digit even numbers divisible by 5.
