Greatest and Smallest Numbers using 3, 2, 6, 0, 8 with 2 at Hundred's place

To find the greatest and smallest numbers using the given digits with 2 at the hundred's place, we need to arrange them in different ways.

Arranging the digits in ascending order:
When we arrange the digits in ascending order, the smallest number is formed.

Here, the digits are 3, 2, 6, 0, and 8. Arranging them in ascending order, we get:
0, 2, 3, 6, 8

So, the smallest number is 02368.

Arranging the digits in descending order:
When we arrange the digits in descending order, the greatest number is formed.

Here, the digits are 3, 2, 6, 0, and 8. Arranging them in descending order, we get:
8, 6, 3, 2, 0

So, the greatest number is 86320.

Explanation:
- To find the smallest number, we arrange the digits in ascending order. The smallest digit (0) is placed at the unit's place, followed by the next smallest digit (2) at the ten's place, then 3 at the hundred's place, 6 at the thousand's place, and finally 8 at the ten thousand's place. This gives us the smallest number 02368.
- To find the greatest number, we arrange the digits in descending order. The greatest digit (8) is placed at the unit's place, followed by the next greatest digit (6) at the ten's place, then 3 at the hundred's place, 2 at the thousand's place, and finally 0 at the ten thousand's place. This gives us the greatest number 86320.

Summary:
- The smallest number using the digits 3, 2, 6, 0, and 8 with 2 at the hundred's place is 02368.
- The greatest number using the digits 3, 2, 6, 0, and 8 with 2 at the hundred's place is 86320.

Greatest: 86230
Smallest: 30268