How many times does each digit (0 through 9) appear in a list of counting numbers from 1 to 100 inclusive?
To determine how many times each digit appears in the numbers from 1 to 100, we can go through each number individually and count the occurrences of each digit. Let's start with the digit 0.
1. Counting 0: The digit 0 appears once, in the number 10.
Now let's count the occurrences of digits 1 through 9:
2. Counting 1: The digit 1 appears 11 times - in the numbers 1, 10, 11, 12, 13, 14, 15, 16, 17, 18, and 19.
3. Counting 2: The digit 2 appears once - in the number 2.
4. Counting 3: The digit 3 appears once - in the number 3.
5. Counting 4: The digit 4 appears once - in the number 4.
6. Counting 5: The digit 5 appears once - in the number 5.
7. Counting 6: The digit 6 appears once - in the number 6.
8. Counting 7: The digit 7 appears once - in the number 7.
9. Counting 8: The digit 8 appears once - in the number 8.
10. Counting 9: The digit 9 appears once - in the number 9.
In summary, the frequency of each digit from 0 to 9 in the list of counting numbers from 1 to 100 inclusive is as follows:
0: 1 occurrence
1: 11 occurrences
2: 1 occurrence
3: 1 occurrence
4: 1 occurrence
5: 1 occurrence
6: 1 occurrence
7: 1 occurrence
8: 1 occurrence
9: 1 occurrence