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\ 01-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
FormiNg the greatest aND smallest Numbers
To form the greatest number, we arrange the digits in descending Th H t O
order. 9 8 2 1
For example: The greatest 4-digit number using digits 1, 9, 8, 2 is 9821. Digits are in
descending order.
To form the smallest number, we arrange the digits in ascending
order. Th H t O
For example: The smallest 4-digit number using the digits 1, 9, 8, 2 1 2 8 9
is 1289. Digits are in
Example 1: Form the greatest 4-digit number using the given digits: ascending order
(a) 5, 3, 7, 2 (b) 4, 9, 8, 9
Solution: To form the greatest 4-digit number, we arrange the digits in descending order.
(a) The greatest 4-digit number using the digits 5, 3, 7, 2 is 7532.
(b) The greatest 4-digit number using the digits 4, 9, 8, 9 is 9984.
Example 2: Form the smallest 4-digit number using the given digits.
(a) 5, 3, 7, 2 (b) 4, 3, 7, 6
Solution: To form the smallest 4-digit number, we arrange the given digits in ascending order.
(a) The smallest 4-digit number using the digits 5, 3, 7, 2 is 2357.
(b) The smallest 4-digit number using the digits 4, 3, 7, 6 is 3467.
While forming numbers, if one of the given digits is a zero (0) then,
To form the greatest number, we arrange the given digits in descending order
(including 0).
To form the smallest number, we place '0' at the second highest place from
the left and arrange the remaining digits in ascending order.
Example 3: Form the greatest and the smallest 4-digit numbers using the digits 7, 9, 0 and 3.
Solution: The greatest 4-digit number is 9730.
The smallest 4-digit number is 3079.
Think Tank Logical Thinking
Riya and Prakash have made the greatest and smallest 4-digit numbers using the
digits 9, 0, 7, 5.
1. Circle the number which is not a 4-digit number. 9750 9705
2. Who has made the correct greatest 4-digit number? 0579 5079
3. Who has made the correct smallest 4-digit number? Riya Prakash
Mathematics-3 19
