There are 819 four-digit numbers that are divisible by 11.
According to the expert-verified answer, the smallest four-digit number divisible by 11 is 1001, and the largest is 9999. The total count is calculated as the first number plus 1/11 of the remaining numbers up to 9999.
- Smallest 4-digit number divisible by 11: 1001
- Largest 4-digit number divisible by 11: 9999
- Total count: 819
This can be determined by:
- Finding the first four-digit multiple of 11: 1001 (11 * 91 = 1001)
- Finding the last four-digit multiple of 11: 9999 (11 * 909 = 9999)
- Calculating the number of multiples between these two: 909 - 91 + 1 = 819
