Question 23

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

This list accurately arranges the numbers from least to greatest. The values are correctly ordered based on their decimal equivalents and negative values.

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

This option incorrectly places -(2/9) and -1 at the beginning of the list, suggesting they are greater than the other numbers. In fact, -1 is the least, followed by the other values, making this arrangement incorrect.

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

While this option starts with -1 correctly, it misplaces the subsequent numbers. It incorrectly places -(2/9) before both -0.21 and -0.2, which are actually greater than -(2/11), thus failing to arrange them from least to greatest.

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

This option is correct as it lists the numbers in the proper order from least to greatest. -1 is the smallest, followed by the correct placement of -(2/11), -0.21, -0.2, and finally -(2/9), reflecting their true values.

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

This option starts with -(2/11), which is incorrect as it is larger than -1. Additionally, it places -0.2 and -0.21 in the wrong order relative to the other values, thus failing to meet the criteria for least to greatest arrangement.

Conclusion

Option C is definitively correct as it accurately reflects the order from least to greatest of the given numbers. All other options fail to correctly sequence the numbers based on their values, leading to incorrect arrangements.