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The image you uploaded lists several numbers, and the question asks you to identify the **irrational numbers**. 

An **irrational number** is a number that **cannot be expressed as a ratio of two integers**. These numbers have non-repeating and non-terminating decimal expansions. Some common examples include \(\pi\), \(e\), and square roots of non-perfect squares.

Here are the items on the list and their classifications:

1. \(-8.5\): This is a **rational number** since it can be written as \(-\frac{17}{2}\).
2. \(0\): This is a **rational number** because it can be written as \(\frac{0}{1}\).
3. \(\frac{7}{2}\): This is a **rational number** as it is the ratio of two integers.
4. \(\sqrt{3}\): This is an **irrational number** since \(\sqrt{3}\) cannot be expressed as a ratio of two integers and its decimal form is non-repeating and non-terminating.
5. \(2.71\): This appears to approximate **Euler’s number \(e\)**, which is an **irrational number**, but 2.71 itself is a **rational approximation**.
6. \(-\pi\): This is an **irrational number**, as \(\pi\) is irrational and so is \(-\pi\).
7. \(3.14\): This is a **rational number** because it's a finite decimal, often used as an approximation of \(\pi\), but it is not exactly \(\pi\).
8. \(100\): This is a **rational number** as it can be expressed as \(\frac{100}{1}\).
9. \(-7\): This is a **rational number** as it can be written as \(\frac{-7}{1}\).

So, the irrational numbers in the list are:
- \(\sqrt{3}\)
- \(-\pi\)

Would you like a detailed explanation of any particular concept?

Here are 5 related questions to consider:
1. What is the definition of a rational number?
2. Why is \(\pi\) considered an irrational number?
3. How can we distinguish rational and irrational numbers based on their decimal expansions?
4. Are there any other famous irrational numbers besides \(\pi\) and \(e\)?
5. Can square roots of perfect squares ever be irrational?

**Tip:** To recognize irrational numbers, remember that any square root of a non-perfect square or any number like \(\pi\) or \(e\) will always be irrational.

Identify the irrational numbers from the given list: -8.5, 0, 7/2, √3, 2.71, -π, 3.14, 100, -7.

Learn how to identify irrational numbers from a list of given values, including rational and irrational numbers. Understand the difference between numbers like √3 and -π, which are irrational, and numbers like 7/2 and 100, which are rational. Suitable for students in Grades 6-9.

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