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Part 1
Reasoning  Which number below comes first when the numbers are listed from least to​ greatest? Explain. Then write the numbers in order from least to greatest.
one sixth
​, negative 2​, StartRoot 7 EndRoot​, negative nine halves
​, 1.1
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Part 1
Which number comes first when the numbers are listed from least to​ greatest?


To determine which number comes first when the numbers are listed from least to greatest, let's convert each of them into decimal form for easier comparison:

1. **One sixth**:  
   \(\frac{1}{6} \approx 0.1667\)

2. **Negative 2**:  
   This is already a decimal number: \(-2.0\)

3. **Square root of 7 (\(\sqrt{7}\))**:  
   \(\sqrt{7} \approx 2.6458\)

4. **Negative nine halves (\(-\frac{9}{2}\))**:  
   \(-\frac{9}{2} = -4.5\)

5. **1.1**:  
   This is already a decimal number: \(1.1\)

Now, let's list these numbers with their approximate decimal forms:
- One sixth: \(0.1667\)
- Negative 2: \(-2.0\)
- \(\sqrt{7}\): \(2.6458\)
- Negative nine halves: \(-4.5\)
- 1.1: \(1.1\)

### Finding the Smallest Number
The smallest (most negative) number in the list is **negative nine halves (\(-4.5\))**.

### Listing the Numbers in Order
Now, we arrange all the numbers from least to greatest:
1. \(-\frac{9}{2}\) (or \(-4.5\))
2. \(-2\)
3. \(\frac{1}{6}\) (or approximately \(0.1667\))
4. \(1.1\)
5. \(\sqrt{7}\) (or approximately \(2.6458\))

### Answer
The number that comes first when the numbers are listed from least to greatest is **negative nine halves (\(-\frac{9}{2}\))**.

Would you like more details or have any questions about this problem?

Here are 5 related questions for practice:
1. How do you compare fractions with decimals directly?
2. What is the decimal equivalent of \(\frac{2}{5}\)?
3. Which is greater: \(0.75\) or \(\frac{3}{4}\)?
4. What is the square root of \(5\) approximately?
5. If given three numbers \(-3\), \(0.5\), and \(\sqrt{10}\), which is the greatest?

**Tip:** Always convert different forms (fractions, square roots) into decimals to compare them easily.

Which number below comes first when the numbers are listed from least to​ greatest? Explain. Then write the numbers in order from least to greatest.
- one sixth, negative 2, √7, negative nine halves, 1.1

Explore how to list numbers from least to greatest, including fractions, square roots, and negative values. This problem involves converting different number forms into decimals for easy comparison. Suitable for students in Grades 6-8.

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