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b. The greatest digit is 7.
So, the greatest number formed by the given digits is 7,65,430.

with Repetition of digits

To form the smallest number, we repeat the smallest digit.
example 3. Form the smallest 7-digit number using the digits 3, 2, 1, 4 and 0.

Solution. The smallest 7-digit number that can be formed using the given digits is
10,00,234.

To form the greatest number, we repeat the greatest digit.
example 4. Form the greatest 7-digit number using the digits 5, 1, 4, 3 and 2.

Solution. The greatest 7-digit number that can be formed using the given digits is
55,54,321.
Swapping the digits

Seema is noting down the classwork but she has a habit of writing numbers in a

distorted form. She sometimes swaps the digits, making blunders, as she copies them
incorrectly. For example, the teacher wrote 1478 on the blackboard, but Seema wrote
1748 in her notebook.
The number that Seema wrote in her notebook is greater than the original number.

1 4 7 8

1 7 4 8

Can you make big numbers by swapping the digits?

Yes, swapping the digits can make a smaller number larger and vice versa.
example 5. Interchange two digits of 65,978 to make a number:

a. as small as possible.

b. as big as possible.
Solution. a. Interchanging 6 and 5, New number = 56,978 (smallest possible number)
b. Interchanging 6 and 9, New number = 95,678 (greatest possible number)

LARge NumbeRS ARouNd uS

There are many real-life situations where we can get numbers in the range of 6 to 7

digits. For example, there are 500 students in a school and each student pays `2,600
as the school fee. Then, the total fees collected from the school is `13,00,000. Find

something in your surroundings where the count is a 6- or 7-digit number.

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Large Numbers