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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_01
\ 11-Sep-2024 Surender Prajapati Proof-4 Reader’s Sign _______________________ Date __________
FormiNg the greatest aND smallest Numbers
To form the greatest number with the given digits, we arrange the th H t O
digits in descending 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 with the given digits, 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 digits 5, 3, 7, 2 is 7,532.
(b) The greatest 4-digit number using digits 4, 9, 8, 9 is 9,984.
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 digits 5, 3, 7, 2 is 2,357.
(b) The smallest 4-digit number using digits 4, 3, 7, 6 is 3,467.
While forming numbers, if one of the given digits is a zero (0) then,
To form the greatest number, we simply arrange the given digit in descending
order (including 0).
To form the smallest number, we place '0' at the second highest place from left
and arrange 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 9,730.
The smallest 4-digit number is 3,079.
Think and Answer
Riya and Prakash have made the greatest and smallest 4-digit numbers using given digits
9, 0, 7, 5.
1. Circle the number which is not a 4-digit numbere. 9750 9705
2. Who has made the correct greatest 4-digit number?
3. Who has made the correct smallest 4-digit number? Riya 0579 5079 Prakash
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