Arrange the following numbers from least to greatest: 7/9, 0.7, -7, -0.65, -2/3
10.

To arrange the numbers from least to greatest, let's convert them all into decimal form first:

1. \( \frac{7}{9} \approx 0.7778 \)
2. \( 0.7 \) is already in decimal form.
3. \( -7 \) is already in decimal form.
4. \( -0.65 \) is already in decimal form.
5. \( \frac{-2}{3} \approx -0.6667 \)
6. \( 10 \) is already in decimal form.

Now, let's arrange the numbers in order:

- \( -7 \)
- \( -0.6667 \) (which is \( -\frac{2}{3} \))
- \( -0.65 \)
- \( 0.7 \)
- \( 0.7778 \) (which is \( \frac{7}{9} \))
- \( 10 \)

So, the numbers in order from least to greatest are:

\[ -7, -\frac{2}{3}, -0.65, 0.7, \frac{7}{9}, 10 \]

Would you like any further details or clarifications?

Here are 5 related questions:
1. How can you compare fractions without converting them to decimals?
2. What is the decimal equivalent of other common fractions like \( \frac{5}{8} \) or \( \frac{3}{4} \)?
3. How does comparing negative numbers differ from comparing positive numbers?
4. What are some tips for comparing fractions and decimals quickly?
5. How do you arrange mixed numbers (fractions and whole numbers) from least to greatest?

**Tip:** When comparing fractions, a common method is to find a common denominator to avoid converting them to decimals.

Learn how to arrange the numbers 7/9, 0.7, -7, -0.65, -2/3, and 10 from least to greatest. This problem involves comparing decimal and fraction representations, understanding negative numbers, and ordering mixed types of numbers. Suitable for students in Grades 7-9.

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