What will be the largest 7 digits number in the number system? A. 8887776 B. 9999888 C. 9999999 D. 9876532
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.