Practice Summary - 1.6 | 1. Number Systems | CBSE 9 Mathematics | Allrounder.ai
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

1.6 - Summary

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

πŸ’‘ Hint: Can it be expressed as a fraction of two integers?

Question 2

Easy

Is the square root of 16 a rational number?

πŸ’‘ Hint: What is the square root of this number?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

A rational number has a decimal expansion that is:

  • Terminating only
  • Non-terminating recurring
  • Both A and B

πŸ’‘ 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

πŸ’‘ Hint: Recall the properties of rational and irrational numbers.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: What happens when you multiply two identical irrational roots?

Question 2

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

πŸ’‘ Hint: What form can you use to eliminate the radical?

Challenge and get performance evaluation