1. -3, 2.3, -3.5, 8, 2(4/5) Which of the following lists gives the preceding numbers in order from least to greatest?
Answer: A
-3, -3.5, 2.3, 2 4/5, 8
The numbers are ordered from least to greatest as follows: -3.5, -3, 2.3, 2(4/5), and 8, which corresponds to option A.
A) - 3, - 3.5, 2.3, 2 4/5, 8
This option correctly lists the numbers in ascending order. The sequence begins with the smallest value, -3.5, followed by -3, then 2.3, 2(4/5), and finally 8, accurately reflecting their positions on the number line.
B) - 3.5, - 3, 2 4/5 23.8
This option incorrectly includes 23.8, which is not part of the original list of numbers. Additionally, while it starts correctly with -3.5 and -3, it does not correctly represent 2.3 or 2(4/5).
C) - 3.5, - 3, 2, 3, 2 4/5, 8
This option is incorrect as it includes an additional number, 3, which is not part of the original set. Although it lists -3.5 and -3 correctly, it disrupts the sequence and includes extraneous values.
D) - 3, - 3.5, 2 4/5 23.8
This option also includes the incorrect number 23.8 and lists -3 before -3.5, which is incorrect. The correct order should place -3.5 before -3, making this option invalid.
Conclusion
Option A is definitively correct, as it lists all the numbers in the proper order from least to greatest. The other options fail due to either including numbers not present in the original set or misordering the existing numbers. Thus, option A stands out as the only accurate representation of the given values.