### Instruction: In writing the integers from 10 through 99 inclusive, how many times is the digit 6 written?### Response: I want to count how many times 6 appears in the tens place and in the ones place.
For the tens place, 6 appears 10 times, from 60 through 69.
For the ones place, 6 appears 9 times, once in each of the following numbers: 16, 26, 36, ..., 96.
So the total number of times 6 is written is 10 + 9 = 19.