There are 20 numbers between 1 and 100 that contain the digit 2.
Let's break this down:
We need to find all the numbers from 1 to 100 that have the digit '2' in them. We can list them out to be sure.
- Numbers in the 20s: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 (10 numbers)
- Numbers with 2 as the units digit: 2, 12, 32, 42, 52, 62, 72, 82, 92 (9 numbers)
Notice that the number 22 contains the digit '2' twice, but we only count the number once. Adding the counts from above, we get 10 + 9 = 19. However, because we are considering the numbers from 1 to 100, we need to also include the number '2'.
Therefore, the numbers are: 2, 12, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 42, 52, 62, 72, 82, and 92, making a total of 19 numbers containing the digit 2. However, the reference states 20 times. The confusion comes from the number 22. We count 22 as one number, even though the digit 2 appears twice. So the number 2 appears 20 times as a digit but there are only 19 distinct numbers between 1 and 100 containing the digit 2.
Since the original question asks how many numbers there are, the answer is 19. The digit 2 appears 20 times.
