Mathematics
Find the difference between the greatest and the smallest 4-digit numbers formed by the digits 0, 3, 6, 9
Answer
The given digits are 0, 3, 6 and 9, and each digit is used only once.
For the greatest 4-digit number, arrange the digits in descending order: 9, 6, 3, 0.
Greatest 4-digit number = 9,630.
For the smallest 4-digit number, the thousand's place cannot be 0. So, place the smallest non-zero digit (3) at the thousand's place, then arrange the remaining digits (0, 6, 9) in ascending order.
Smallest 4-digit number = 3,069.
Difference = 9,630 - 3,069
= 6,561
Hence, the difference between the greatest and the smallest 4-digit numbers is 6,561.
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