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example: Arrange the numbers 250, 168, 900, 525 in descending order.
Solution: All the given numbers have 3 digits. So, we compare the digits H T O
in the hundreds place first. 2 5 0
We see that 9 > 5 > 2 > 1 1 6 8
So, the descending order of the numbers is: 9 0 0
900 > 525 > 250 > 168 5 2 5
FORMatION OF tHE GREatESt aND SMaLLESt 3-DIGIt NUMBERS
Let us form numbers with 3, 8 and 6 using each digit exactly once.
H T O H T O
Keeping 3 in the hundreds place, we have two numbers 3 6 8 and 3 8 6.
Keeping 6 in the hundreds place, we have two numbers 6 3 8 and 6 8 3.
Keeping 8 in the hundreds place, we have two numbers 8 3 6 and 8 6 3.
Among the six numbers so formed, 368 is the smallest and 863 is the greatest number.
If we take a close look at these numbers, we see that Be Aware
368 has the digits in ascending order and 863 has the Zero is not used in the first
digits in descending order. place of a 3-digit number. It
can be used in the second
Thus, we can say: place, for example, with 5,
• To form the greatest number, we arrange the given 8, and 0, the smallest 3-digit
number is 508. 058 is not
digits in descending order. correct, as it is read as 58.
• To form the smallest number, we arrange the given We can make 6 different
digits in ascending order. 3-digit numbers using any 3
different digits (except 0),
example: Write all the 3-digit numbers that contain the without repeating them.
digits 7, 2 and 5. Also, find the smallest and the greatest
number among these numbers and write their number names.
Solution: 3-digit numbers that contain 7, 2 and 5 are: 725, 752, 527, 572, 257, 275.
Smallest number: 257 Two hundred fifty-seven
Greatest number: 752 Seven hundred fifty-two
Math Insight
987 is the greatest 3-digit number which has three distinct digits, and 102 is the smallest
3-digit number which has three distinct digits.
24 Mathematics-2
