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The remainder when the number 9999999925 is divided by 9 is

Question

The remainder when the number 9999999925 is divided by 9 is

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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:

  1. Write down the number: 9999999925.
  2. Sum the digits of the number: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 2 + 5.
  3. Calculate the sum: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 2 + 5 = 79.
  4. Sum the digits of the result: 7 + 9.
  5. Calculate the sum: 7 + 9 = 16.
  6. Sum the digits of the result: 1 + 6.
  7. Calculate the sum: 1 + 6 = 7.

Therefore, the remainder when 9999999925 is divided by 9 is 7.

This problem has been solved

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