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Mathematics

Rearrange the digits of the number 5701024 to get the largest number and the smallest number of 7 digits.

Number System

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Answer

The digits of the given number 5701024 are 5, 7, 0, 1, 0, 2 and 4.

For the largest 7-digit number, arrange the digits in descending order:

7, 5, 4, 2, 1, 0, 0.

The largest 7-digit number = 75,42,100.

For the smallest 7-digit number, the digit at the highest place (ten lakhs) cannot be 0. So, place the smallest non-zero digit (1) at the highest place, and arrange the remaining digits (0, 0, 2, 4, 5, 7) in ascending order after it.

The smallest 7-digit number = 10,02,457.

Hence, the largest 7-digit number is 75,42,100 and the smallest 7-digit number is 10,02,457.

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