7 modulo 11
Understand the Problem
The question asks for the result of the mathematical operation of 7 modulo 11, which involves finding the remainder when 7 is divided by 11. Since 7 is less than 11, the result is simply 7.
Answer
$7$
Answer for screen readers
The final answer is $7$.
Steps to Solve
- Understanding Modulo Operation
The modulo operation finds the remainder when one number is divided by another. Here, we need to calculate $7 \mod 11$.
- Division Step
When calculating $7 \mod 11$, we divide 7 by 11. Since 7 is less than 11, the division results in:
$$ 7 \div 11 = 0 , \text{ (the quotient)}$$
- Finding the Remainder
Since the quotient is 0 when dividing 7 by 11, we can find the remainder:
$$ \text{Remainder} = 7 - (11 \times 0) = 7 $$
Therefore, the result of $7 \mod 11$ is simply 7.
The final answer is $7$.
More Information
The modulo operation, denoted by the symbol "mod", is often used in programming and mathematics to find remainders. In this case, since 7 is less than 11, it does not exceed the divisor, and the answer remains the same as the number itself.
Tips
- A common mistake is to mistakenly conclude that $7 \mod 11$ involves any more complex calculations based on larger numbers. This operation is straightforward since 7 is already less than 11.
- Another mistake might be confusing the modulo operation with division itself, leading to incorrect interpretations of the result.
