17. Of the following, which is greatest?
Answer: A
-0.75 is the greatest value among the options provided.
-0.75 is greater than all the other options listed, as it is the only negative value that is less negative than the others.
A) -0.75
This option is the correct answer as it is the highest value among the choices. While -0.75 is negative, it is closer to zero than the other negative numbers provided.
B) 5/-2
This option simplifies to -2.5, which is less than -0.75. Therefore, it is not greater than -0.75 and is thus incorrect.
C) -3
The value of -3 is significantly lower than -0.75, making it the least of all options. Hence, it cannot be the greatest.
D) -2
Although -2 is higher than -3, it is still lower than -0.75. Therefore, -2 is not the correct answer as it does not surpass -0.75.
Conclusion
In summary, -0.75 is the greatest value because, despite being negative, it is closer to zero than the other negative options. All other choices are either lower or more negative, making them incorrect in comparison. Thus, -0.75 stands out as the highest value in this set.