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25 mod 7

Understand the Problem

The question is asking for the remainder when 25 is divided by 7. We will perform the division and find the modulus.

Answer

The remainder is $4$.
Answer for screen readers

The remainder when 25 is divided by 7 is 4.

Steps to Solve

  1. Perform Division To find the remainder, we first divide 25 by 7.

Calculating the division: $$ 25 \div 7 = 3.5714 $$

  1. Find the Whole Number Part Take the whole number part (quotient) of the division. In this case, the quotient is 3.

  2. Multiply to Find Total Now, multiply the whole number part by 7 to find the largest multiple of 7 that is less than 25: $$ 7 \times 3 = 21 $$

  3. Subtract to Find the Remainder Subtract this result from 25 to find the remainder: $$ 25 - 21 = 4 $$

So, the remainder when 25 is divided by 7 is 4.

The remainder when 25 is divided by 7 is 4.

More Information

The remainder of a division operation shows what is left over after the division is complete. It can be helpful in various problems involving modular arithmetic.

Tips

  • Confusing the quotient with the remainder. Always remember to focus on the result of the subtraction after finding the largest multiple.
  • Not correctly identifying the whole number part from the division.
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