7 mod 3
Understand the Problem
The question is asking for the remainder when 7 is divided by 3. This involves performing a modulo operation.
Answer
1
Answer for screen readers
The final answer is 1
Steps to Solve
- Division to find the quotient and remainder
To solve $7 \mod 3$, start by performing the division $7 \div 3$. The quotient (whole number result) is $2$ because $3$ goes into $7$ two times.
- Multiplying the quotient by the divisor
Multiply the quotient by the divisor: $2 \times 3 = 6$.
- Subtracting to find the remainder
Subtract the result from the original number: $7 - 6 = 1$. The remainder is what is left over, which is $1$.
The final answer is 1
More Information
In modulo operation, the remainder is what is left after subtracting the largest possible multiple of the divisor from the original number.
Tips
A common mistake is to confuse the quotient with the remainder or to forget to subtract to find the remainder.
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