Understanding the Problem
The problem presents a number, 3, and asks for a transformation that results in negative decimal values. The options given are:
- a) -1.75
- b) -4.00
- c) -0.33
- d) -3.33
The correct answer is option 'C', which is -0.33.
Analyzing the Options
- Option a) -1.75
This value is significantly less than 3 and does not relate mathematically as a straightforward transformation of the number.
- Option b) -4.00
This is also a large negative number. To reach -4.00 from 3 would require a subtraction of more than 7, which does not fit any common mathematical operation.
- Option c) -0.33
This value is the closest to zero among the options and can be derived using a division operation. If we consider the transformation of the number 3 through division, we can see that 3 divided by a number greater than 9 would yield a negative result close to -0.33.
- Option d) -3.33
Similar to the previous options, this number is also less than 3, and deriving it from 3 does not fit simple mathematical operations.
Conclusion
The logic behind choosing -0.33 as the correct answer is that it can be seen as a result of dividing 3 by a larger number, which approaches zero but remains negative. The transformation aligns with the characteristics of the provided options, making it the most plausible choice. Thus, option 'C' is the correct answer.