Difference of the Greatest and Smallest Number using Digits 8, 2, 6, 7, 9, and 0

To find the difference between the greatest and smallest number using the digits 8, 2, 6, 7, 9, and 0, we need to consider the possible arrangements of these digits and determine the largest and smallest numbers that can be formed.

Step 1: Arrange the digits in ascending order
To find the smallest number, we arrange the digits in ascending order.

Digits: 0, 2, 6, 7, 8, 9

Smallest number: 0, 2, 6, 7, 8, 9 = 26,789

Step 2: Arrange the digits in descending order
To find the greatest number, we arrange the digits in descending order.

Digits: 9, 8, 7, 6, 2, 0

Greatest number: 9, 8, 7, 6, 2, 0 = 98,762

Step 3: Calculate the difference
To find the difference between the greatest and smallest number, we subtract the smallest number from the greatest number.

Difference = Greatest number - Smallest number
Difference = 98,762 - 26,789
Difference = 71,973

The difference between the greatest and smallest number using the digits 8, 2, 6, 7, 9, and 0 is 71,973.

Summary:
By arranging the given digits in ascending order, we find the smallest number to be 26,789. By arranging the digits in descending order, we find the greatest number to be 98,762. The difference between the greatest and smallest number is 71,973.