https://file.aiquickdraw.com/mathbot/file/1725927869181jezjrgmh.jpg

Let's go step by step to arrange the given numbers in order from least to greatest. 

The numbers to compare are: 

\[
\frac{1}{4}, \, -1, \, \sqrt{5}, \, -\frac{9}{2}, \, 4.4
\]

1. **Convert all values to decimals**:
   - \(\frac{1}{4} = 0.25\)
   - \(-1\) remains \(-1\)
   - \(\sqrt{5} \approx 2.236\)
   - \(-\frac{9}{2} = -4.5\)
   - \(4.4\) remains \(4.4\)

2. **List the decimal values**:
   - \(-4.5\), \(-1\), \(0.25\), \(2.236\), \(4.4\)

3. **Order from least to greatest**:
   \[
   -4.5, \, -1, \, 0.25, \, 2.236, \, 4.4
   \]

Now, we match this ordering with the multiple-choice options:

- Option **A**: \(-1, \, -\frac{9}{2}, \, \frac{1}{4}, \, 4.4, \, \sqrt{5}\)
- Option **B**: \(\frac{1}{4}, \, -1, \, 4.4, \, \sqrt{5}, \, -\frac{9}{2}\)
- Option **C**: \(-\frac{9}{2}, \, -1, \, \frac{1}{4}, \, 4.4, \, \sqrt{5}\)
- Option **D**: \(-\frac{9}{2}, \, -1, \, \frac{1}{4}, \, \sqrt{5}, \, 4.4\)

The correct option is **D**, as it matches the correct order:
\[
-\frac{9}{2} \, (-4.5), \, -1, \, \frac{1}{4} \, (0.25), \, \sqrt{5} \, (2.236), \, 4.4
\]

Would you like more details, or do you have any further questions?

Here are 5 related questions:
1. How can you compare square roots with fractions quickly?
2. What are common mistakes in comparing negative and positive decimals?
3. How do you calculate square roots of non-perfect squares?
4. Why is converting to decimals useful for ordering?
5. How does the order of operations affect sorting of mixed numbers?

**Tip**: Converting all terms to a common form, like decimals, makes comparison easier.

Order the numbers below from least to greatest. 1/4, -1, √5, -9/2, 4.4

Learn how to order a set of numbers, including fractions, decimals, and square roots. This problem covers concepts such as square root approximation, converting fractions to decimals, and comparing positive and negative numbers. Suitable for students in Grades 6-8.

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