Final answer:
To order rational numbers from least to greatest, consider their numerical value and signs. Negative numbers are less than positive, and among positives, smaller numerators or larger denominators indicate smaller values. The correct order is -2 5/6, -2/3, 1/6, 5/6.
Step-by-step explanation:
The question asks for the correct ordering of a set of rational numbers from least to greatest. When comparing rational numbers, we need to consider both their numerical value and whether they are positive or negative. Negative numbers are always less than positive numbers, and among positive rational numbers, those with a smaller numerator or a larger denominator are smaller in value.
- -2 5/6 (which is less than -2)
- -2/3 (since it is negative and is closer to zero than -2 5/6)
- 1/6 (as it is the smallest positive fraction given)
- 5/6 (which is greater than 1/6 and less than 1)
Therefore, the correct set of rational numbers ordered from least to greatest is: -2 5/6, -2/3, 1/6, 5/6.