The remainder when the number 9999999925 is divided by 9 is
Answers
Answer:
9999999925÷9=1111111102.__
reminder is 7
Step-by-step explanation:
I hope it will helpful to you
Given:
A number 9999999925 is divided by 9.
To Find:
The remainder of the above mathematical operation is?
Solution:
1. The given number is 9999999925, it is divided by 9.
2. A number is said to be divisible by 9 if the sum of the digits of the number is a multiple of 9.
For example, the number 927 is divisible by 9 because the sum of the digits of the number is 18 which is a multiple of 9.
3. The number 9999999925 has the sum of the digits 79 which is not a multiple of 9. Hence the number is not perfectly divisible by 9.
4. The given number can be also written as,
=> 9999999925 = 9000000000 + 900000000 + 90000000 + 9000000 + 900000 + 90000 + 9000 + 900 + 25,
=> Simplifying further,
=> 9999999925 = 9(1000000000) + 9(100000000) + 9(10000000) + 9(1000000) + 9(100000) + 9(10000) + 9(1000) + 9(100) + 25,
5. The number 25 can be written as,
=> 25 = 9(2) + 7.
=> 9999999925 = 9(1000000000) + 9(100000000) + 9(10000000) + 9(1000000) + 9(100000) + 9(10000) + 9(1000) + 9(100) + 9(2) + 7,
=> Taking 9 common,
=> 9999999925 = 9(1111111102) + 7,
6. The remainder is 7 and the quotient is 1111111102.
Therefore, the remainder when the number 9999999925 is divided by 9 is 7.