What is the difference between the greatest of six digit number and the smallest of six digit number?

Options

A. 999990
B. 899990
C. 989990
D. 899999

Answer

To solve the problem of finding the difference between the greatest and smallest six-digit numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Greatest Six-Digit Number**:
- The greatest six-digit number is formed by using the highest digit (which is 9) in all six places.
- Therefore, the greatest six-digit number is:
\[ 999999 \]

2. **Identify the Smallest Six-Digit Number**:
- The smallest six-digit number is formed by placing the smallest non-zero digit (which is 1) in the first place and filling the remaining five places with zeros.
- Therefore, the smallest six-digit number is:
\[ 100000 \]

3. **Calculate the Difference**:
- Now, we need to find the difference between the greatest and smallest six-digit numbers.
- We perform the subtraction:
\[ 999999 - 100000 \]

4. **Perform the Calculation**:
- Subtracting the two numbers:
\[ 999999 - 100000 = 899999 \]

5. **Final Answer**:
- The difference between the greatest and smallest six-digit numbers is:
\[ 899999 \]