12 modulo 10
Understand the Problem
The question is asking for the result of the modulo operation between 12 and 10. The modulo operation finds the remainder when one number is divided by another.
Answer
$2$
Answer for screen readers
The result of 12 modulo 10 is $2$.
Steps to Solve
- Identify the numbers for the operation
We need to perform the modulo operation on the numbers 12 and 10. Here, 12 is the dividend and 10 is the divisor.
- Perform the division
Next, we divide 12 by 10.
$$ 12 \div 10 = 1.2 $$
- Find the quotient
The integer part of the result from the division is 1. This means 10 can fit into 12 one time.
- Calculate the product of the quotient and the divisor
Now, we multiply the quotient by the divisor to find out how much of 12 has been accounted for.
$$ 1 \times 10 = 10 $$
- Subtract to find the remainder
Finally, we subtract the product from the original number to find the remainder.
$$ 12 - 10 = 2 $$
Thus, the result of the modulo operation is 2.
The result of 12 modulo 10 is $2$.
More Information
Modulo operations are often used in programming and mathematics to determine cycles, ensure numbers stay within a certain range, or for hashing functions. In this case, since 12 is greater than 10, there’s a remainder of 2 when 12 is divided by 10.
Tips
- A common mistake is thinking that the result of the modulo operation is simply the result of the division. Be sure to remember the modulo gives the remainder, not the quotient.
- Another mistake is forgetting to consider that the divisor should not be zero, as modulo operations are undefined in that case.
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