Page 23 - 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 Practice time 1d
given digits in ascending order. But when ‘0’ is there in

the given digits, we write ‘0’ in the second place after the 1. Form the greatest and the smallest number using the following digits (only once).
smallest digit other than ‘0’. digits greatest number Smallest number

Thus, the smallest number formed with the given digits is 10,356. (a) 2, 7, 3, 5, 1

example 1: Form the smallest and the greatest number using digits 2, 0, 6, 8 and 1. (b) 7, 5, 4, 8, 0
Solution: Smallest number: 10,268 tth th H T O (c) 9, 8, 3, 0, 2, 6
(d)
0, 1, 9, 6, 3, 7
Greatest number: 86,210 Smallest Number 1 0 2 6 8 2. Form the greatest and the smallest 5-digit numbers using the given digits with
Greatest Number 8 6 2 1 0
repetition.
Think Tank

The petals of each flower bear digits. 1. 6 2. 4 digits greatest 5-digit number Smallest 5-digit number
Form the greatest and the smallest 1 9 3 8 (a) 5, 8, 3, 4
number using them. 2 3 5 0 (b) 6, 0, 7

(c) 2, 7, 8

(d) 9, 6, 0
With repetition of digits (e) 5, 0

greatest Number: To form the greatest 3. Form the greatest and the smallest 6-digit numbers using the given digits with
number, write the given digits in descending repetition.

order by repeating the greatest digit. digits greatest 6-digit number Smallest 6-digit number
example 2: Form the greatest 5-digit number using the digits 5, 6, 9 and 4. (a) 1, 9, 7, 5, 0

Solution: To form the greatest 5-digit number using the given four digits, we repeat (b) 2, 4, 6, 8
the greatest digit 9 twice. tth th H T O (c) 3, 7, 0, 9

So, the greatest 5-digit number formed with the 9 9 6 5 4 (d) 6, 8, 9

given digits is 99,654. (e) 4, 7
Smallest Number: To form the smallest number, write the given digits in ascending

order and repeat the smallest digit. rounding oFF numbers
example 3: Form the smallest 5-digit number using the digits 7, 0 and 3. Let us read out the following interesting facts.

Solution: To form the smallest 5-digit number using the given tth th H T O Š Lightning strikes the Earth about 6000 times every minute.
three digits, we repeat the smallest digit 0 thrice, 3 0 0 0 7 Š A hummingbird’s heart beats about 1000 times in a minute.

but after the second smallest digit, that is, 3. Š The Eiffel Tower has about 1700 steps.

So, the smallest 5-digit number formed with the given digits is 30,007. Š We take about 23000 breaths every day.
example 4: Form the smallest 6-digit number using the digits 6, 1, 4 and 5. The above interesting facts do not give exact numbers (figures). They have only
Solution: To form the smallest number, we repeat the smallest L tth th H T O approximate numbers. The figures mentioned above might have been more or less.

digit 1 thrice. So, the smallest 6-digit number formed 1 1 1 4 5 6 Such numbers are called rounded or estimated numbers. To find the estimated number
with the given digits is 1,11,456. or value, we round off the number to the nearest tens, hundreds or thousands places.

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