How many times does the number 8. occur between the numbers 1 and 99 ?

Options

A. 10
B. 9
C. 20
D. 19

Explanation

To find out how many times the number 8 occurs between the numbers 1 and 99, we can break it down into steps.

### Step-by-Step Solution:

1. **Identify the Range**: We are looking for occurrences of the digit '8' in the numbers from 1 to 99.

2. **Count Occurrences in the Units Place**:
- The numbers that have '8' in the units place are: 8, 18, 28, 38, 48, 58, 68, 78, 88, and 98.
- Count these:
- 8
- 18
- 28
- 38
- 48
- 58
- 68
- 78
- 88 (this has two '8's)
- 98
- Total occurrences in the units place: 9 (from the first 9 numbers) + 1 (from 88) = 10.

3. **Count Occurrences in the Tens Place**:
- The numbers that have '8' in the tens place are: 80, 81, 82, 83, 84, 85, 86, 87, 88, and 89.
- Count these:
- 80
- 81
- 82
- 83
- 84
- 85
- 86
- 87
- 88 (this has two '8's)
- 89
- Total occurrences in the tens place: 10 (from the ten numbers) + 1 (from 88) = 11.

4. **Combine the Counts**:
- Total occurrences of '8' from both the units and tens places:
- Units place: 10
- Tens place: 11
- Total = 10 + 11 = 21.

5. **Final Count**:
- Therefore, the total number of times the digit '8' occurs between the numbers 1 and 99 is **21**.

### Final Answer:
The number 8 occurs **21 times** between the numbers 1 and 99.