There are 18,000 five-digit integers divisible by 5.
Understanding the Solution
Five-digit integers range from 10,000 to 99,999. A number is divisible by 5 if its last digit is either 0 or 5.
- Total Five-Digit Numbers: There are 90,000 five-digit integers (99,999 - 10,000 + 1 = 90,000).
- Numbers Ending in 0: One-tenth of these numbers end in 0 (90,000 / 10 = 9,000).
- Numbers Ending in 5: One-tenth of these numbers end in 5 (90,000 / 10 = 9,000).
- Total Divisible by 5: Therefore, 9,000 + 9,000 = 18,000 five-digit integers are divisible by 5.
This is confirmed by multiple sources, including Vaia, Chegg, and others. These sources explicitly state that there are 18,000 five-digit integers divisible by 5.
