7 + 4 (mod 5)
Understand the Problem
The question is asking for the result of the expression 7 plus 4 modulo 5, which involves first computing the sum and then taking the remainder when divided by 5.
Answer
$1$
Answer for screen readers
The final answer is $1$.
Steps to Solve
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Calculate the Sum First, we need to add the two numbers together. $$ 7 + 4 = 11 $$
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Apply Modulo Operation Next, we take the result and find the remainder when it is divided by 5. $$ 11 \mod 5 $$
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Compute the Remainder Now, we perform the division: $$ 11 \div 5 = 2 \text{ remainder } 1 $$ So, the result of $11 \mod 5$ is $1$.
The final answer is $1$.
More Information
Modulo operation gives us the remainder of a division, and it is often used in programming and number theory. In this case, we added two numbers and used modulo to find how many times 5 fits into the result, leading to a remainder of 1.
Tips
- Confusing addition with subtraction: Ensure that you are adding the numbers before applying the modulo.
- Miscalculating the remainder: Remember to check how many times the divisor (5) fits into the sum (11) and what the leftover is.
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