How many times does the digit 6 appear in the list of all integers from 1 to 100?
Its 20.
To find out how many times the digit 6 appears in the list of all integers from 1 to 100, you can follow these steps:
1. Start by considering the numbers from 1 to 100 one by one.
2. For each number, determine if it contains the digit 6.
3. If the number contains the digit 6, increment a counter by 1.
4. Repeat the process for all numbers from 1 to 100.
5. The final value of the counter will give you the total number of times the digit 6 appears in the list.
Let's go through these steps together:
Starting from 1, we see that the digit 6 appears in the numbers:
- 6
- 16
- 26
- 36
- 46
- 56
- 60 (notice that 60 contains the digit 6, even though it does not seem like it at first glance)
- 61
- 62
- 63
- 64
- 65
- 66
- 67
- 68
- 69
- 76
- 86
- 96
So, the digit 6 appears 19 times in the list of all integers from 1 to 100.
number of single digits without a 6 = 8
number of double digits without a 6 = 8*9 = 72
number of triple digits without a 6 = 1
number without a 6 = 81
so number containing a 6 = 100-81 = 19
6, 16, 26, 36, 46, 56, 66, 76, 86, 96. 10 times.
61, 62, 63, 64, 65, 67, 68, 69. 8 times.
10+8 = 18 times.
Henry2, what about 60?
so that makes it 19