Irrational Numbers

•   What are irrational numbers?
  
• Number Line:
  
• Using Mathigon Polypad
  
  

Classroom Activity

1. Draw a number line.
2. Construct √2.
3. Construct √3.
4. Construct √5.
5. Compare the decimal values.
6. Verify your construction using Mathigon.

Practice Questions

Identify whether the following are Rational or Irrational.

1. √2
2. √16
3. π
4. 0.25
5. √49
6. √7
7. 5/8
8. 0.333…
9. √10
10. e

Think and Answer

1. Why is √2 an irrational number?
2. Why can’t irrational numbers be written as fractions?
3. Explain why π is an irrational number.
4. How can we represent irrational numbers on the number line?
5. How does Mathigon help students understand irrational numbers?

Summary

After completing this lesson, you should be able to:

• Define irrational numbers.
• Identify irrational numbers.
• Distinguish between rational and irrational numbers.
• Represent irrational numbers on the number line.
• Use Mathigon Polypad for interactive learning.
• Solve problems involving irrational numbers.

📥 Download Learning Materials

You can also download:

• 📄 Irrational Numbers

Representation of Irrational Numbers on the Number Line

Although irrational numbers cannot be written exactly as fractions, every irrational number has an exact position on the number line.

Representation of √5

Take

Base = 2

Height = 1

Using Pythagoras’ Theorem,

Transfer this length to the number line.

Representation of √5:

Interactive Learning Using Mathigon

Mathigon Polypad is an excellent interactive mathematics platform.

Using Mathigon, students can:

• Draw a number line.
• Construct right triangles.
• Measure lengths accurately.
• Represent √2, √3 and √5.
• Compare decimal approximations.
• Explore irrational numbers interactively.

🎥 Video Tutorial

Watch the complete video below to learn how to represent irrational numbers on the number line using Mathigon.

📺 Paste Your YouTube Video Here

👉 https://youtu.be/a3aoHFsRqC4?si=OkMSBkLT1_zYY4lT

🌐 Practice Using Mathigon

Click the link below to open Mathigon Polypad and practice constructing irrational numbers.

👉 https://mathigon.org/polypad

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