The remainder when the number 9999999925 is divided by 9 is
Question
The remainder when the number 9999999925 is divided by 9 is
Solution
To find the remainder when 9999999925 is divided by 9, we can use the property that a number is congruent to the sum of its digits modulo 9. Here are the steps:
- Write down the number: 9999999925.
- Sum the digits of the number: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 2 + 5.
- Calculate the sum: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 2 + 5 = 79.
- Sum the digits of the result: 7 + 9.
- Calculate the sum: 7 + 9 = 16.
- Sum the digits of the result: 1 + 6.
- Calculate the sum: 1 + 6 = 7.
Therefore, the remainder when 9999999925 is divided by 9 is 7.
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