Final answer:
The sequence that shows the numbers in order from least to greatest is |-54.21 < -58.61 < 5.745 x 10^2.
Step-by-step explanation:
The sequence that shows the numbers in order from least to greatest is option C) |-54.21 < -58.61 < 5.745 x 10^2.
In this sequence, we can compare the numbers directly without converting them to scientific notation. |-54.21 is the smallest number, followed by -58.61, and then 5.745 x 10^2 represents a higher value.
Therefore, the correct answer is option C) |-54.21 < -58.61 < 5.745 x 10^2.