Final answer:
The absolute value of 1/4 is simply 1/4 since it is already a positive number. The absolute value indicates the distance from zero, disregarding the sign, and it is always a non-negative value.
"the correct option is approximately option A"
Step-by-step explanation:
The question you’ve asked is, “What is the absolute value of 1/4?” The absolute value of a number is the non-negative value of that number without regard to its sign. It’s like asking how far a number is from zero on the number line without considering the direction. For any positive number, its absolute value is the same as the number itself. Since 1/4 is already a positive number, the absolute value of 1/4 is simply 1/4. Therefore, the answer to your question is A) 1/4.
Let's work through the process. To find the absolute value, you can use the notation |1/4| which means the absolute value of 1/4. Given that 1/4 is not negative, you don't need to change anything. Thus, |1/4| = 1/4. This demonstrates that the absolute value of a positive number or a fraction does not alter the number itself.
If you were asked the absolute value of a negative number, say -1/4, you would then ignore the negative sign and the result would be |-1/4| = 1/4. This is because again, the absolute value refers to the distance a number is from zero, regardless of the sign.
It's important to remember that the absolute value of any number is always either positive or zero. It is never negative; hence options C) and D), which have negative values, cannot be correct.