4 mod 7
Understand the Problem
The question is asking for the result of the modulus operation, specifically the remainder when 4 is divided by 7.
Answer
4
Answer for screen readers
The final answer is 4
Steps to Solve
- Identify the modulus operation rule
For any two integers a and b, $a \mod b$ is the remainder when a is divided by b.
- Divide 4 by 7 and find the quotient
Divide 4 by 7 to get the quotient. Since 4 is less than 7, the quotient is 0.
- Calculate the remainder
Multiply the quotient by the divisor and subtract this from the original number:
$$4 - (7 \times 0) = 4$$
Therefore, the remainder when 4 is divided by 7 is 4.
The final answer is 4
More Information
The answer shows that when the dividend is smaller than the divisor, the remainder is the dividend itself.
Tips
A common mistake is to think the remainder should be based on a negative result, but always remember the remainder is non-negative and less than the divisor.
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