Final answer:
To order a set of numbers including roots and fractions from least to greatest, each number should be converted into decimal form. Then, they can easily be compared and placed in the correct sequence. If precise calculations are needed, significant figures should be carefully managed.
Step-by-step explanation:
The question requires us to order a set of numbers from least to greatest. To do this, we need to evaluate each equation or root to convert them into comparable numerical values. Since the numbers provided in the question appear to be an error, let's use a similar example to explain the process of ordering. Consider the numbers 2, √5, 3√5, and 27/5. We would first convert each of these numbers into decimal form to make it easier to compare:
- '2' is already in its simplest form.
- '√5' is approximately 2.236.
- '3√5' can be calculated by multiplying 3 by √5 which is approximately 6.708.
- '27/5' can be simplified to '5.4'.
Now that we have all the numbers in decimal form, we can easily order them from least to greatest: 2, √5, 27/5, 3√5. It's important to note that for precise calculations, keeping track of all significant figures and rounding only at the final step is crucial.