The smallest 5 digit number divisible by 9 is 10008.
To understand why, consider these points:
- The smallest 5-digit number is 10000.
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- The sum of the digits of 10000 is 1 (1 + 0 + 0 + 0 + 0 = 1).
- To find the next number divisible by 9, we need to increase the digits' sum to 9.
- We can achieve this by adding 8 to 10000, resulting in 10008. The sum of its digits is 1 + 0 + 0 + 0 + 8 = 9, which is divisible by 9.
Therefore, 10008 is indeed the smallest 5-digit number divisible by 9.
