### Instruction: What is the smallest five-digit number with non-zero digits such that the digits add up to 20?### Response: I need to find a five-digit number with non-zero digits and the smallest possible value.
The first digit is the most significant, so I want to make it as small as possible, which is 1.
The second digit is the next most significant, so I want to make it as small as possible, which is also 1.
The third digit is the next most significant, so I want to make it as small as possible, which is also 1.
So far, I have 111_ _ and the digits add up to 3.
I need the remaining two digits to add up to 17.
The smallest possible way to do this is to make them 8 and 9, in either order.
So the smallest five-digit number with non-zero digits and a digit sum of 20 is 11189.