How many digits are required to write the numbers from 1 to 100?

Options

A. 100
B. 192
C. 99
D. 198

Answer

To find out how many digits are required to write the numbers from 1 to 100, we can break down the problem into parts:

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

**Calculation:**
Number of digits from 1 to 9 = 9 numbers × 1 digit = 9 digits.

### Step 2: Count the digits from 10 to 99
- The numbers from 10 to 99 are two-digit numbers.
- There are 90 numbers in this range (from 10 to 99 inclusive).
- Each of these numbers has 2 digits.

**Calculation:**
Number of digits from 10 to 99 = 90 numbers × 2 digits = 180 digits.

### Step 3: Count the digits for the number 100
- The number 100 is a three-digit number.
- It has 3 digits.

**Calculation:**
Number of digits for 100 = 3 digits.

### Step 4: Add all the digits together
Now, we will add the digits counted in the previous steps.

**Total Calculation:**
Total digits = Digits from 1 to 9 + Digits from 10 to 99 + Digits for 100
Total digits = 9 + 180 + 3 = 192 digits.

### Final Answer:
The total number of digits required to write the numbers from 1 to 100 is **192**.

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