The letter order which lists the decimals from least to greatest is x = 0.317, y = 0.361, z = 0.320

Rationale

x = 0.317, z = 0.320, y = 0.361.

To arrange the decimals from least to greatest, we compare the values directly. The order starts with x (0.317), followed by z (0.320), and finally y (0.361), confirming choice C as the correct sequence.

A (x, y, z) YOUR ANSWER

This option suggests the order 0.317, 0.361, and 0.320. However, 0.361 is greater than both 0.317 and 0.320, making this sequence incorrect as it does not reflect the proper least-to-greatest arrangement.

B (y, z, x) YOUR ANSWER

This choice lists the decimals as 0.361, 0.320, and 0.317. Clearly, 0.361 is the largest, while 0.320 is greater than 0.317. Thus, this arrangement incorrectly places the largest value first, violating the least-to-greatest order.

C (x, z, y) CORRECT

This arrangement correctly presents the decimals as 0.317, 0.320, and 0.361. It accurately reflects the order from least to greatest, making this the correct choice.

D (z, x, y) YOUR ANSWER

This option indicates 0.320, 0.317, and 0.361. It incorrectly places 0.317 after 0.320, which is not in accordance with their actual values. Therefore, this sequence fails to represent the correct order.

E (z, y, x) YOUR ANSWER

This choice suggests the order 0.320, 0.361, and 0.317. Placing 0.317 last is incorrect, as it is the smallest value. Hence, this arrangement does not accurately reflect the least-to-greatest order.

Conclusion

The correct order of the decimals from least to greatest is x, z, and y, or 0.317, 0.320, and 0.361. All other options fail to represent this sequence accurately, either by misplacing a value or by incorrectly identifying the smallest or largest decimal.

The letter order which lists the decimals from least to greatest is x = 0.317, y = 0.361, z = 0.320

x = 0.317, z = 0.320, y = 0.361.

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