Write the largest and the smallest 8-digit number and also find how many numbers lie between these two numbers.

Answer

To solve the question, we will follow these steps:

### Step 1: Identify the largest 8-digit number
The largest 8-digit number is formed by using the digit '9' in all 8 places. Therefore, the largest 8-digit number is:
\[ 99999999 \]

### Step 2: Identify the smallest 8-digit number
The smallest 8-digit number is formed by placing '1' in the first position (to ensure it is an 8-digit number) and '0' in all the remaining positions. Therefore, the smallest 8-digit number is:
\[ 10000000 \]

### Step 3: Calculate how many numbers lie between the largest and smallest 8-digit numbers
To find how many numbers lie between the largest and smallest 8-digit numbers, we will subtract the smallest 8-digit number from the largest 8-digit number and then subtract 1 (since we want the numbers strictly between them).

Calculating the difference:
\[ 99999999 - 10000000 = 89999999 \]

Now, we subtract 1 from this result to find how many numbers lie strictly between:
\[ 89999999 - 1 = 89999998 \]

### Final Answer
Thus, the largest 8-digit number is \( 99999999 \), the smallest 8-digit number is \( 10000000 \), and the number of integers that lie between these two numbers is \( 89999998 \).

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