Form the greatest and the smallest 3-digit number using any three different digits with the condition that digit 6 is always at the unit place

• The greatest 3-digit number is 986.
• The smallest 3-digit number is 106.

To find the greatest and smallest 3-digit numbers using three different digits, with the digit 6 always in the unit place, we can follow these steps:

Creating the Greatest 3-Digit Number

To form the largest number, we need to choose the highest digits available for the hundreds and tens places. The digits we can use are 9, 8, and 6. Since 6 must be in the unit place, we select 9 for the hundreds and 8 for the tens:

• Hundreds place: 9
• Tens place: 8
• Units place: 6

This gives us the greatest 3-digit number: 986.

Forming the Smallest 3-Digit Number

For the smallest number, we should use the lowest digits available. The digits we can use are 1, 0, and 6. Since 6 is fixed in the unit place, we choose 1 for the hundreds and 0 for the tens:

• Hundreds place: 1
• Tens place: 0
• Units place: 6

This results in the smallest 3-digit number: 106.

Summary

The greatest 3-digit number is 986, while the smallest is 106.