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
- Perform Division To find the remainder, we first divide 25 by 7.
Calculating the division: $$ 25 \div 7 = 3.5714 $$
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Find the Whole Number Part Take the whole number part (quotient) of the division. In this case, the quotient is 3.
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Multiply to Find Total Now, multiply the whole number part by 7 to find the largest multiple of 7 that is less than 25: $$ 7 \times 3 = 21 $$
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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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