Mathematics
Find the greatest and the smallest 5-digit numbers using different digits in which 5 appears at ten's place.
Answer
The number is a 5-digit number with all five digits different and 5 at the ten's place.
The number is of the form _ _ _ 5 _.
For the greatest 5-digit number, fill the remaining places with the largest distinct digits other than 5. Use 9 at ten thousands, 8 at thousands, 7 at hundreds and 6 at units.
Greatest 5-digit number = 98,756.
For the smallest 5-digit number, the ten thousand's place cannot be 0. Place 1 (smallest non-zero, ≠ 5) at ten thousands, 0 at thousands, 2 at hundreds, 5 at tens and 3 at units.
Smallest 5-digit number = 10,253.
Hence, the greatest 5-digit number is 98,756 and the smallest 5-digit number is 10,253.
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