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E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_01
\ 11-Sep-2024 Sonia Suyal Proof-1 Reader’s Sign _______________________ Date __________
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
With repetition of Digits
greatest Number: To form the greatest number, write the given digits in descending
order by repeating the greatest digit.
example 4: Form the greatest 4-digit number using the digits 5 and 6.
Solution: To form the greatest 4-digit number using the given two
digits, we repeat the greatest digit 6 thrice. th H t O
6 6 6 5
So, the greatest 4-digit number formed with the given Greatest Digit
digits is 6665.
Smallest Number: To form the smallest number, write the given digits in ascending order
and repeat the smallest digit.
example 5: Form the smallest 4-digit number using the digits 2, 0 and 3.
Solution: To form the smallest 4-digit number by using the Note
given three digits, we repeat the smallest digit 0 We don’t use 0 on the
twice, but after the second smallest digit, that is 2. extreme left while
forming a number,
So, the smallest 4-digit number formed with the because 0 on the left has
given digits is 2003. no value. As, 0002 = 2.
20 Mathematics-3
