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
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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.
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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.
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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: $$ R = 6 - (6 \times 1) = 6 - 6 = 0 $$
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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.
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