5 modulo 8
Understand the Problem
The question is asking to compute the modulo operation of 5 by 8, which means finding the remainder when 5 is divided by 8.
Answer
$5 \mod 8 = 5$
Answer for screen readers
The result of the operation is $5 \mod 8 = 5$.
Steps to Solve
- Identify Dividend and Divisor
In this problem, 5 is the dividend (the number being divided) and 8 is the divisor (the number by which we divide).
- Perform Division
We perform the division of 5 by 8. Since 5 is less than 8, we can state that:
$$ 5 \div 8 = 0 $$
This means that 8 goes into 5 zero times.
- Calculate the Remainder
To find the modulo, we need to calculate the remainder. This can be done using the formula:
$$ \text{Remainder} = \text{Dividend} - (\text{Divisor} \times \text{Quotient}) $$
Here, the quotient is 0. Thus, we have:
$$ \text{Remainder} = 5 - (8 \times 0) = 5 - 0 = 5 $$
- Final Result
The modulo operation is represented as:
$$ 5 \mod 8 = 5 $$
So, the result of the operation is 5.
The result of the operation is $5 \mod 8 = 5$.
More Information
The modulo operation helps in finding the remainder of a division. In this case, since 5 is less than 8, the remainder is simply 5 itself. This operation is widely used in programming and mathematics, especially in cyclic calculations and computer algorithms.
Tips
- A common mistake is confusing the modulo operation with normal division. Remember that modulo specifically looks for the remainder.
- Additionally, people might incorrectly perform the division and assume that 5 divided by 8 has a remainder of 3, which is not the case here.
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