How many times digit '5' appears in the number from 1 to 100?

Options

A. 20
B. 21
C. 19
D. 18

Answer

To find out how many times the digit '5' appears in the numbers from 1 to 100, we can break it down into two parts: counting the occurrences of '5' in the units place and counting the occurrences of '5' in the tens place.

### Step-by-Step Solution:

1. **Count occurrences of '5' in the units place:**
- The numbers from 1 to 100 that have '5' in the units place are:
- 5, 15, 25, 35, 45, 55, 65, 75, 85, 95.
- This gives us a total of 10 occurrences of '5' in the units place.

2. **Count occurrences of '5' in the tens place:**
- The numbers from 1 to 100 that have '5' in the tens place are:
- 50, 51, 52, 53, 54, 55, 56, 57, 58, 59.
- This also gives us a total of 10 occurrences of '5' in the tens place.

3. **Combine the counts:**
- Now, we add the occurrences from both the units and tens places:
- From the units place: 10 occurrences
- From the tens place: 10 occurrences
- Total occurrences of '5' = 10 (units) + 10 (tens) = 20.

### Final Answer:
The digit '5' appears **20 times** in the numbers from 1 to 100.