46. Compare the relationships of these numbers: 0.045 is ______ to 0.054.
Answer: A
0.045 is less than 0.054
0.045 is indeed less than 0.054 when comparing the two decimal numbers directly.
A) less than
This option is correct because when comparing 0.045 and 0.054, it is clear that 0.045 falls below 0.054 on the number line, indicating that it is less than 0.054.
B) greater than
This option is incorrect. If 0.045 were greater than 0.054, it would imply that 0.045 is positioned to the right of 0.054 on the number line, which is not the case, as 0.054 is actually larger.
C) equal to
This option is also incorrect. For two numbers to be equal, they must represent the same value. Since 0.045 and 0.054 represent different values, they cannot be equal.
D) not comparable
This option is incorrect as well. The two numbers can be directly compared since they are both decimal values and can be evaluated against each other in terms of size.
Conclusion
The correct answer, that 0.045 is less than 0.054, is definitive because it follows the basic principles of numerical comparison. All other options fail because they either misrepresent the relationship between the two numbers or suggest an impossibility in comparison.