### Instruction: How many times does the digit 8 appear in the list of all integers from 1 to 1000?### Response: I want to count how many times 8 appears in the ones, tens, and hundreds places of the numbers from 1 to 1000.
For the ones place, 8 appears once in every group of 10 numbers, such as 8, 18, 28, ..., 998.
There are 100 such groups, so 8 appears 100 times in the ones place.
For the tens place, 8 appears 10 times in every group of 100 numbers, such as 80, 81, ..., 89, 180, 181, ..., 189, ..., 980, 981, ..., 989.
There are 10 such groups, so 8 appears 100 times in the tens place.
For the hundreds place, 8 appears 100 times in every group of 1000 numbers, such as 800, 801, ..., 899.
There is only one such group, so 8 appears 100 times in the hundreds place.