Answer

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**Hint:**Here we find the smallest number having 7 digits by writing the first digit as the least positive number in the number system and zero in all other digits.

**Complete step-by-step answer:**

We know any number is the smallest number of that many digits if there is no number of that many digits which is greater than that number.

Here the number of digits is 7.

So we choose the first digit as the least positive integer in the number system.

Since, we know 1 is the least positive integer in the number system so we fix our first digit a 1.

Now we put zero in place of all the other digits, then we can make the smallest 7 digit number in the system.

So, the number is 1000000.

**Note:**Students are likely to make the mistake of writing the numbers as smallest 7 digit numbers which have first digit as zero, second digit as zero and so on and they put in any value in any digits place, which is wrong. They might make any of the following mistakes.

If we write zero as the first digit then the number will be a six digit number.

If we write the first two digits as zero then the number will be a five digit number.

If we write the first three digits as zero then the number will be a four digit number.

If we write the first four digits as zero then the number will be a three digit number.

If we write the first five digits as zero then the number will be a two digit number.

If we write the first six digits as zero then the number will be one digit number.

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