There are 9 two-digit numbers divisible by 11.
The reference provided lists all two-digit numbers divisible by 11: 11, 22, 33, 44, 55, 66, 77, 88, and 99. Counting these numbers confirms that there are nine of them.
Here's a breakdown:
- The smallest two-digit number is 10.
- The largest two-digit number is 99.
- The smallest two-digit number divisible by 11 is 11 (11 x 1 = 11).
- The largest two-digit number divisible by 11 is 99 (11 x 9 = 99).
- Therefore, the two-digit multiples of 11 are 11 x 1, 11 x 2, 11 x 3, 11 x 4, 11 x 5, 11 x 6, 11 x 7, 11 x 8, and 11 x 9.
In summary, there are nine multiples of 11 that fall within the two-digit number range (10-99).