The total number of 8 digit numbers is

Options

A. 9000
B. 9,00,000
C. 9,00,00,000
D. None of these

Answer

To find the total number of 8-digit numbers, we can follow these steps:

### Step 1: Identify the smallest 8-digit number
The smallest 8-digit number is 10,000,000 (which can also be written as \(1 \times 10^7\)).

### Step 2: Identify the largest 8-digit number
The largest 8-digit number is 99,999,999 (which can also be written as \(9 \times 10^7 + 9 \times 10^6 + 9 \times 10^5 + 9 \times 10^4 + 9 \times 10^3 + 9 \times 10^2 + 9 \times 10^1 + 9 \times 10^0\)).

### Step 3: Calculate the total number of 8-digit numbers
To find the total number of 8-digit numbers, we can use the formula:
\[ \text{Total 8-digit numbers} = \text{Largest 8-digit number} - \text{Smallest 8-digit number} + 1 \]
Substituting the values we found:
\[ \text{Total 8-digit numbers} = 99,999,999 - 10,000,000 + 1 \]

### Step 4: Perform the subtraction
Calculating the subtraction:
\[ 99,999,999 - 10,000,000 = 89,999,999 \]

### Step 5: Add 1 to the result
Now, add 1 to the result:
\[ 89,999,999 + 1 = 90,000,000 \]

### Final Answer
Thus, the total number of 8-digit numbers is **90,000,000**.

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