6 modulo 6

Understand the Problem

The question is asking for the result of the operation '6 modulo 6', which is a mathematical calculation that determines the remainder when 6 is divided by 6.

Answer

$0$
Answer for screen readers

The final answer is $0$.

Steps to Solve

  1. Understanding Modulo Operation The modulo operation finds the remainder after division of one number by another. In this case, we will divide 6 by 6.

  2. Perform the Division Calculate how many times 6 goes into 6. Since $6 \div 6 = 1$ with no remainder, we proceed to find the remainder.

  3. Finding the Remainder Calculate the total amount represented by the division: $$ 6 = 6 \times 1 + R $$ Where $R$ is the remainder. Since 6 fits perfectly into 6, we have: $$ R = 6 - (6 \times 1) = 6 - 6 = 0 $$

  4. Final Result Thus, the result of the operation $6 \mod 6$ is the remainder we calculated: $$ 6 \mod 6 = 0 $$

The final answer is $0$.

More Information

The modulo operation is often used in programming and mathematics to determine cycles, boundaries, or in situations where one needs to wrap around numbers, like clock arithmetic.

Tips

  • A common mistake is confusing the modulo with simple division and forgetting to find the remainder.
  • Another mistake is miscalculating the multiples of the divisor being used.
Thank you for voting!
Use Quizgecko on...
Browser
Browser