Page 22 - Math Genius C4

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\\September 30, 2025 9:37 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Smallest Number: To form the smallest number, write the tth th H T O
given digits in ascending order. But when ‘0’ is there in 1 0 3 5 6

the given digits, we write ‘0’ in the second place after the Smallest digit Greatest
smallest digit other than ‘0’. (after 0) digit

Thus, the smallest number formed with the given digits is 10,356.

example 1: Form the smallest and the greatest number using digits 2, 0, 6, 8 and 1.
Solution: Smallest number: 10,268 tth th H T O

Greatest number: 86,210 Smallest Number 1 0 2 6 8
Greatest Number 8 6 2 1 0
Think Tank

The petals of each flower bear digits. 1. 6 2. 4
Form the greatest and the smallest 1 9 3 8
number using them. 2 3 5 0

With repetition of digits Challenge Question

greatest Number: To form the greatest Using the digits 1, 4, 5, 8, and 9, form two
number, write the given digits in descending distinct 5-digit numbers with repetition of

order by repeating the greatest digit. digits such that their sum is exactly 1,00,000.
example 2: Form the greatest 5-digit number using the digits 5, 6, 9 and 4.

Solution: To form the greatest 5-digit number using the given four digits, we repeat
the greatest digit 9 twice. tth th H T O

So, the greatest 5-digit number formed with the 9 9 6 5 4

given digits is 99,654.
Smallest Number: To form the smallest number, write the given digits in ascending

order and repeat the smallest digit.
example 3: Form the smallest 5-digit number using the digits 7, 0 and 3.

Solution: To form the smallest 5-digit number using the given tth th H T O
three digits, we repeat the smallest digit 0 thrice, 3 0 0 0 7

but after the second smallest digit, that is, 3.

So, the smallest 5-digit number formed with the given digits is 30,007.
example 4: Form the smallest 6-digit number using the digits 6, 1, 4 and 5.
Solution: To form the smallest number, we repeat the smallest L tth th H T O

digit 1 thrice. So, the smallest 6-digit number formed 1 1 1 4 5 6
with the given digits is 1,11,456.

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