| Board | CBSE |
| Textbook | NCERT |
| Class | Class 6 |
| Subject | Maths |
| Chapter | Chapter 1 Knowing our numbers |
Question –
Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.
Solution
Given: digits – 6, 2, 7, 4, 3
To find: the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once
The greatest five digit number can be obtained by arranging the digits in descending order, and, the smallest five digit number can be obtained by arranging the digits in ascending order from the highest place to one’s place.
Hence, using the digits 6, 2, 7, 4, 3, each only once,
Here, we can clearly see that 2<3<4<6<7.
So,
The greatest five digit number obtained by arranging the given digits in descending order = 76,432
The smallest five digit number obtained arranging the given digits in ascending order = 23,467
The difference between the greatest and smallest numbers so obtained = 76,432 – 23,467 = 52,965
Hence, the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once is 52,965.
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