Questions & Answers
Question
Answers
Related Questions
What will be the largest 7 digits number in the number system?
A. 8887776
B. 9999888
C. 9999999
D. 9876532
Answer
![Verified]()
Verified
Verified
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.
×
Sorry!, This page is not available for now to bookmark.
Like this
Liked
-
Courses-
Crash Courses 2021
-
Olympiads/NTSE/Others
-
Micro Courses
-
Vedantu Super Kids NEW
-
Reading & Spoken English -
FREEMaster Classes
-
PREMIUM1-on-1 Classes
-
Study Material
-
NCERT Solutions
-
Previous Year Papers
-
Mock Tests
-
Sample Papers
-
Reference Book Solutions
-
ICSE Solutions
-
School Syllabus
-
Revision Notes
-
Important Questions
-
Math Formula Sheets
-
-
More
Book your FREE Online counselling session
Share your contact information
Your FREE Online counselling session has been booked!
Vedantu academic counsellor will be calling you shortly for your Online Counselling session.
DONE
Please try again later
OK
NCERT Book Solutions
Reference Book Solutions
Toll Free:
1800-120-456-456
Mobile:
+91 988-660-2456
Toll Free:
1800-120-456-456
Mobile:
+91 988-660-2456
(Mon-Sun: 9am - 11pm IST)
Questions?
Chat with us
