Practice Summary - 1.6 | 1. Number Systems | CBSE 9 Mathematics | Allrounder.ai
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Summary

1.6 - Summary

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify whether 5/2 is a rational or irrational number.

💡 Hint: Can it be expressed as a fraction of two integers?

Question 2 Easy

Is the square root of 16 a rational number?

💡 Hint: What is the square root of this number?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

A rational number has a decimal expansion that is:

Terminating only
Non-terminating recurring
Both A and B

💡 Hint: Think of how you can express it in fraction form.

Question 2

True or False: The sum of a rational and an irrational number is always a rational number.

True
False

💡 Hint: Recall the properties of rational and irrational numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Can you find two irrational numbers that when multiplied give a rational number? Provide an example and explain why it works.

💡 Hint: What happens when you multiply two identical irrational roots?

Challenge 2 Hard

Given the expression \( \frac{5}{\sqrt{2} + 1} \), rationalize the denominator and simplify your answer.

💡 Hint: What form can you use to eliminate the radical?

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