8 mod 7
Understand the Problem
The question is asking for the result of 8 modulo 7, which is the remainder when 8 is divided by 7.
Answer
$1$
Answer for screen readers
The answer is $1$.
Steps to Solve
-
Identify the division process We need to divide 8 by 7 and find the quotient and remainder.
-
Perform the division When we divide 8 by 7, we get a quotient of 1.
-
Calculate the remainder Now, to find the remainder, we use the formula: $$ R = A - (Q \times D) $$ where $A$ is the original number (8), $Q$ is the quotient (1), and $D$ is the divisor (7).
-
Substitute values into the formula Substituting the values, we have: $$ R = 8 - (1 \times 7) $$ $$ R = 8 - 7 $$
-
Calculate the remainder Now, we calculate: $$ R = 1 $$
-
Conclusion about modulo operation Thus, the result of $8 \mod 7$ is the remainder, which is 1.
The answer is $1$.
More Information
The modulo operation finds the remainder when one integer is divided by another. In this case, since 8 is greater than 7, dividing results in a whole number quotient with a remainder of 1.
Tips
- Misunderstanding the modulo operation as just finding the quotient instead of the remainder. It's essential to remember we are looking for the value left over after division.
