-3, 2.3, -3.5, 8, 2(4/5) Which of the following lists gives the preceding numbers in order from least to greatest?

Rationale

-3, -3.5, 2.3, 2(4/5), 8 are in the correct order in choice A).

To arrange the numbers from least to greatest, we first convert them into comparable forms. The decimal equivalents of the numbers are -3, -3.5, 2.3, 2.8 (from 2(4/5)), and 8. Hence, the correct order is indeed -3.5, -3, 2.3, 2.8, and 8, which matches choice A.

A (- 3, - 3.5, 2.3, 2 4/5, 8) CORRECT

This option incorrectly lists the numbers. It starts with -3 (which is greater than -3.5) and continues with -3.5, placing it in the wrong order. The correct sequence should have -3.5 listed before -3.

B (- 3.5, - 3, 2 4/5 23.8) YOUR ANSWER

This choice contains a significant error with the inclusion of "23.8," which is not one of the numbers given in the question. Furthermore, while it correctly lists -3.5 and -3 in the correct order, it mistakenly includes an irrelevant number and misplaces 2(4/5).

C (- 3.5, - 3, 2, 3, 2 4/5, 8) YOUR ANSWER

This option lists the numbers in a partially correct order but incorrectly includes both "2" and "3," which are not part of the original set. The correct form should have shown 2.3 and 2(4/5) as decimal equivalents, and there should not have been a "3."

D (- 3, - 3.5, 2 4/5 23.8) YOUR ANSWER

Similar to choice B, this option incorrectly lists "23.8," which is not part of the original numbers. It also incorrectly places -3 before -3.5, which violates the ordering principle from least to greatest.

Conclusion

The proper ordering of the numbers -3, -3.5, 2.3, 2(4/5), and 8 from least to greatest is accurately presented in choice A. The other options either misplace the original numbers, introduce irrelevant figures, or fail to maintain the correct sequence, highlighting the importance of careful comparison and ordering of numerical values.

-3, 2.3, -3.5, 8, 2(4/5) Which of the following lists gives the preceding numbers in order from least to greatest?

-3, -3.5, 2.3, 2(4/5), 8 are in the correct order in choice A).

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