The difference between the greatest number and smallest number of 5 digits is:

Options

A. 1
B. 900
C. 9000
D. 89999

Answer

To find the difference between the greatest and smallest five-digit numbers, we can follow these steps:

### Step 1: Identify the greatest five-digit number
The greatest five-digit number is formed by using the highest digit (9) in all five places. Therefore, the greatest five-digit number is:
\[ 99,999 \]

### Step 2: Identify the smallest five-digit number
The smallest five-digit number is formed by placing the smallest non-zero digit (1) in the first place and filling the remaining places with zeros. Therefore, the smallest five-digit number is:
\[ 10,000 \]

### Step 3: Calculate the difference
Now, we need to subtract the smallest five-digit number from the greatest five-digit number:
\[ \text{Difference} = \text{Greatest five-digit number} - \text{Smallest five-digit number} \]
\[ \text{Difference} = 99,999 - 10,000 \]

### Step 4: Perform the subtraction
Let's perform the subtraction step by step:
- From the rightmost digit: \(9 - 0 = 9\)
- Next digit: \(9 - 0 = 9\)
- Next digit: \(9 - 0 = 9\)
- Next digit: \(9 - 0 = 9\)
- Last digit: \(9 - 1 = 8\)

Putting it all together, we get:
\[ 99,999 - 10,000 = 89,999 \]

### Conclusion
The difference between the greatest five-digit number and the smallest five-digit number is:
\[ \text{Difference} = 89,999 \]

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