https://file.aiquickdraw.com/mathbot/file/1729567998267xy19o9xv.jpg

Let's go step by step to find the correct order of these numbers from least to greatest, and answer which comes first:

The numbers provided are:
\[
\frac{1}{6}, -3, \sqrt{7}, -\frac{6}{5}, 3.9
\]

### Step 1: Converting all values into decimal form
1. \( \frac{1}{6} \approx 0.1667 \)
2. \( -3 \) (already in decimal form)
3. \( \sqrt{7} \approx 2.6458 \)
4. \( -\frac{6}{5} = -1.2 \)
5. \( 3.9 \) (already in decimal form)

### Step 2: Ordering the numbers
From least to greatest:
- The most negative number is \( -3 \).
- Next comes \( -\frac{6}{5} = -1.2 \).
- The smallest positive number is \( \frac{1}{6} \approx 0.1667 \).
- Then comes \( \sqrt{7} \approx 2.6458 \).
- Finally, \( 3.9 \) is the largest.

### Step 3: Answer the question
The number that comes first when listed from least to greatest is \( -3 \).

### Correct choice:
The correct answer is **D. \( -3 \) because it is the negative number with the greatest absolute value.**

Would you like more details on any part of this solution?

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Here are 5 related questions to expand your understanding:
1. How do you compare numbers with different forms (fractions, square roots, etc.)?
2. How can absolute value help when comparing negative numbers?
3. What is the approximate value of \( \sqrt{2}, \sqrt{3}, \sqrt{5} \), etc.?
4. How do you convert fractions to decimals?
5. What is the role of irrational numbers (like \( \sqrt{7} \)) in number comparison?

**Tip:** When comparing numbers, converting them all to the same form (usually decimals) can make the process easier.

Which number comes first when the numbers are listed from least to greatest? 1/6, -3, sqrt(7), -6/5, 3.9

Learn how to compare and order real numbers, including fractions, decimals, square roots, and negative numbers. This problem involves converting numbers to decimal form and ordering them from least to greatest.

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