Question 14

x, z, y

The order of the decimals from least to greatest is x = 0.317, z = 0.320, and y = 0.361. Therefore, the correct sequence is x, z, y.

A) x, y, z

This option places y (0.361) before z (0.320), incorrectly indicating that 0.361 is less than 0.320. This is not true, as 0.361 is greater than both x and z.

B) y, z, x

In this arrangement, y (0.361) is listed first, which is incorrect because it is the largest of the three decimals. Therefore, this sequence does not represent the order from least to greatest.

C) x, z, y

This option correctly lists the decimals in ascending order, starting with x (0.317), followed by z (0.320), and finishing with y (0.361). This aligns perfectly with the values provided.

D) z, x, y

This choice places z (0.320) before x (0.317), which is incorrect since 0.317 is less than 0.320. Hence, the order presented in this option does not reflect the correct sequence.

E) z, y, x

This option incorrectly starts with z (0.320) before y (0.361) and ends with x (0.317). This arrangement does not accurately reflect the values in ascending order.

Conclusion

The correct sequence is x, z, y, as it accurately reflects the order of the decimals from least to greatest. All other options fail to maintain the correct relationship of the decimal values, either by misordering or by placing the largest decimal before the smaller ones.