Practice Did You Know? - 7 | Chapter 1 : Number System | ICSE 8 Maths
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Did You Know?

7 - Did You Know?

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an irrational number?

💡 Hint: Consider numbers like √2 and π.

Question 2 Easy

Can you provide an example of a rational number?

💡 Hint: Think of any whole number divided by another.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following is an irrational number?

1/2
3.14
√2

💡 Hint: Think about the decimal form of √2.

Question 2

True or False: All rational numbers can be represented as fractions.

True
False

💡 Hint: Consider the definition of rational numbers.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Explain how Cantor's diagonal argument proves there are more irrational numbers than rational numbers.

💡 Hint: Focus on how decimals can be adjusted.

Challenge 2 Hard

Given a circle with radius 1, find the circumference using π. Discuss how this uses irrational numbers.

💡 Hint: Consider the relationship between circular dimensions and π.

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