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Let's solve both problems shown in the image.

### Question 4:
We need to order the numbers \( \frac{22}{7}, -3, \sqrt{17}, \frac{16}{5}, \text{ and } -4.5 \) from least to greatest.

First, let's approximate the decimal values of each number:
1. \( \frac{22}{7} \approx 3.14 \)
2. \( -3 \) remains as \( -3 \)
3. \( \sqrt{17} \approx 4.12 \)
4. \( \frac{16}{5} = 3.2 \)
5. \( -4.5 \) remains as \( -4.5 \)

Now, order the numbers:
- The smallest number is \( -4.5 \).
- Then comes \( -3 \).
- Next, \( \frac{22}{7} \approx 3.14 \).
- Then \( \frac{16}{5} = 3.2 \).
- Finally, \( \sqrt{17} \approx 4.12 \).

So the numbers in order from least to greatest are:
\[
-4.5, -3, \frac{22}{7}, \frac{16}{5}, \sqrt{17}.
\]
The first number when ordered from least to greatest is \( -4.5 \).

### Question 5:
We need to list the numbers \( \sqrt{5}, 3.7, \frac{1}{2}, -4, \text{ and } -\frac{9}{4} \) from least to greatest.

First, let's convert them to decimal form:
1. \( \sqrt{5} \approx 2.24 \)
2. \( 3.7 \) remains as \( 3.7 \)
3. \( \frac{1}{2} = 0.5 \)
4. \( -4 \) remains as \( -4 \)
5. \( -\frac{9}{4} = -2.25 \)

Now, order the numbers:
- The smallest number is \( -4 \).
- Then \( -\frac{9}{4} = -2.25 \).
- Next is \( \frac{1}{2} = 0.5 \).
- Then \( \sqrt{5} \approx 2.24 \).
- Finally, \( 3.7 \).

So the numbers in order from least to greatest are:
\[
-4, -\frac{9}{4}, \frac{1}{2}, \sqrt{5}, 3.7.
\]

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Would you like any further details on these problems? Here are five related questions to expand your understanding:

1. How do you compare fractions and decimals effectively?
2. What is the square root of 17 rounded to three decimal places?
3. How can you use inequalities to compare negative and positive numbers?
4. What are the key differences between irrational and rational numbers?
5. How can you plot these numbers on a number line to better visualize their order?

**Tip:** When comparing numbers, always convert fractions and square roots into decimal form to make comparisons easier.

Does 22/7, -3, √17, 16/5, or -4.5 come first when the numbers are listed from least to greatest? Explain. List the numbers in order from least to greatest: √5, 3.7, 1/2, -4, -9/4.

Learn how to order numbers such as 22/7, -3, √17, and 16/5 from least to greatest with step-by-step explanations. We will explore key concepts like converting fractions to decimals, calculating square roots, and comparing negative numbers. Suitable for Grades 7-9.

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