Difficulty: Hard

Average Score: 0%

Which list shows the numbers arranged from least to greatest?

Rationale

-1, -(2/11), -0.21, -0.2, -(2/9)

To arrange the numbers from least to greatest, we begin by converting all fractions to decimal form for easier comparison. This results in -1, approximately -0.222 (for -(2/9)), approximately -0.1818 (for -(2/11)), and -0.21. The correct order is thus -1, -(2/11), -0.21, -0.2, and -(2/9).

A (-(2/9), -0.21, -0.2, -(2/11), -1) YOUR ANSWER

This list incorrectly places the largest number, -1, at the end of the sequence. The fraction -(2/9) is also incorrectly positioned as it should precede the other numbers when arranged in ascending order.

B (-1, -(2/9), -0.21, -0.2, -(2/11)) YOUR ANSWER

While -1 is correctly placed at the beginning, this option misplaces the fractions and decimal numbers. The fraction -(2/9) should be before -0.21 and -0.2, as it has a value of approximately -0.222, which is less than both.

C (-1, -(2/11), -0.21, -0.2, -(2/9)) CORRECT

This arrangement correctly lists -1 first, followed by -(2/11) (approximately -0.1818), then -0.21, -0.2, and finally -(2/9) (approximately -0.222). Thus, this option accurately reflects the numbers ordered from least to greatest.

D (-(2/11), -0.2, -0.21, -(2/9), -1) YOUR ANSWER

This list incorrectly places -1 at the end, suggesting it is larger than all other values. Furthermore, the fractions and decimals are not in the correct ascending order, as -(2/11) should follow -1.

Conclusion

To correctly arrange the numbers from least to greatest, one must convert all values into decimals for accurate comparison. The sequence -1, -(2/11), -0.21, -0.2, and -(2/9) accurately reflects their values in increasing order. Therefore, option C is the only choice that meets the criteria for proper numerical arrangement.

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