How many digits in all are required to write numbers from 1 to 50?

Options

A. 100
B. 92
C. 91
D. 50

Answer

To find out how many digits are required to write all the numbers from 1 to 50, we can break it down into two parts: the numbers with 1 digit and the numbers with 2 digits.

### Step 1: Count the 1-digit numbers
The 1-digit numbers are from 1 to 9.
- There are 9 one-digit numbers (1, 2, 3, 4, 5, 6, 7, 8, 9).
- Each of these numbers has 1 digit.

**Total digits from 1-digit numbers:**
\[ 9 \text{ numbers} \times 1 \text{ digit} = 9 \text{ digits} \]

### Step 2: Count the 2-digit numbers
The 2-digit numbers are from 10 to 50.
- The numbers in this range are 10, 11, 12, ..., 50.
- To find the total count of these numbers, we can subtract the first number from the last and add 1:
\[ 50 - 10 + 1 = 41 \text{ two-digit numbers} \]
- Each of these numbers has 2 digits.

**Total digits from 2-digit numbers:**
\[ 41 \text{ numbers} \times 2 \text{ digits} = 82 \text{ digits} \]

### Step 3: Calculate the total number of digits
Now, we can add the total digits from the 1-digit and 2-digit numbers together:
\[ 9 \text{ digits (from 1-digit numbers)} + 82 \text{ digits (from 2-digit numbers)} = 91 \text{ digits} \]

### Final Answer
The total number of digits required to write all the numbers from 1 to 50 is **91**.

---