largest 5 digit number which can be exactly divisible by 11
Answers
Divide the largest 5 digit no. by 11 and subtract the remainder
The largest 5 digit number which can be exactly divisible by 11 is 99990
Given : The divisor is 11
To find : The largest 5 digit dividend that is exactly divisible by the given divisor.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required dividend)
Now, initially we will take the largest 5 digit number itself.
Largest 5 digit number = 99999
Now, we will divide the largest 5 digit number by the given divisor.
So, in that division work :
- Dividend = 99999
- Divisor = 11
- Quotient = 9090
- Remainder = 9
11)99999(9090
ㅤ99
________
ㅤㅤ99
ㅤㅤ99
________
ㅤㅤㅤ9
ㅤㅤㅤㅤ
Now, the required dividend which is largest in the category of 5 digit number and is divisible by the same divisor 11, will be :
= Dividend of the previous division - Remainder of the previous division
= 99999 - 9
= 99990
Verification :
- 999990 ÷ 11 = 9090 (perfectly divisible)
Hence, the largest 5 digit number which is divisible by 11 is 99990