# What will be the largest 7 digits number in the number system?

A. 8887776

B. 9999888

C. 9999999

D. 9876532

Answer

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364.2k+ views

Hint:- Largest one-digit number is 9. And remember that one-digit numbers make a number of n digits. Here we have to arrange digits in a way to make a larger number.

Complete step-by-step answer:

As we know that in our number system one-digit numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

So, the largest one-digit number will be 9.

And, the smallest one-digit number will be 0.

Now we had to find the largest seven-digits number.

As we all know all numbers are made up by joining one-digit numbers.

And in the n-digit number there are n one-digit number.

So, in the largest seven-digit number there will be seven one-digit numbers.

So, the largest 7-digit number in the number system will be 9999999.

Because if we increase 9999999 by 1 then it will become an 8-digit number.

Hence, the correct option will be C.

Note:- Whenever we come up with this type of problem then if we are asked to find the largest n-digits number then the correct answer will be a number with n times 9, but if we are asked to find the smallest n-digits number then as we know that smallest one-digit number is zero. But zero at the starting of any number makes the whole number zero. So, in the smallest n-digits number the first digit will be 1 and after that (n – 1) digits will be zero.

Complete step-by-step answer:

As we know that in our number system one-digit numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

So, the largest one-digit number will be 9.

And, the smallest one-digit number will be 0.

Now we had to find the largest seven-digits number.

As we all know all numbers are made up by joining one-digit numbers.

And in the n-digit number there are n one-digit number.

So, in the largest seven-digit number there will be seven one-digit numbers.

So, the largest 7-digit number in the number system will be 9999999.

Because if we increase 9999999 by 1 then it will become an 8-digit number.

Hence, the correct option will be C.

Note:- Whenever we come up with this type of problem then if we are asked to find the largest n-digits number then the correct answer will be a number with n times 9, but if we are asked to find the smallest n-digits number then as we know that smallest one-digit number is zero. But zero at the starting of any number makes the whole number zero. So, in the smallest n-digits number the first digit will be 1 and after that (n – 1) digits will be zero.

Last updated date: 02nd Oct 2023

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