https://file.aiquickdraw.com/mathbot/file/1726174561368rolu0a8x.jpg

The question asks, "Which of the following are irrational numbers?" 

Let's analyze the options:

1. **π (pi)**: This is an irrational number because it cannot be expressed as a simple fraction. Its decimal expansion is non-repeating and infinite.
2. **9.69̅ (repeating 9.69)**: This is a rational number. A repeating decimal can be converted into a fraction, so it is not irrational.
3. **4**: This is a whole number, which can be written as a fraction (4/1), making it a rational number.
4. **0**: This is a rational number, as it can be expressed as the fraction 0/1.

Thus, the only irrational number in this list is **π**.

Would you like more details, or have any other questions?

Here are 5 related questions to expand your understanding:
1. What makes a number irrational?
2. Can the square root of any number be irrational?
3. Are there other famous irrational numbers like π?
4. What is the difference between rational and irrational numbers in terms of decimals?
5. How can repeating decimals always be converted to fractions?

**Tip:** A repeating decimal is always a rational number because it can be written as a ratio of two integers.

Which of the following are irrational numbers?

Learn how to identify irrational numbers in a set, including the famous irrational number π. This problem also covers repeating decimals, which are rational numbers, and explains the differences between rational and irrational numbers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation