Practice Summary - 1.4 | 1. REAL NUMBERS | CBSE 10 Mathematics | Allrounder.ai
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1.4 - Summary

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the prime factorization of 18.

πŸ’‘ Hint: Think about the smallest prime numbers.

Question 2

Easy

Identify if 7 is a prime or composite number.

πŸ’‘ Hint: Check its factors.

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

What does the Fundamental Theorem of Arithmetic state?

  • Every prime number is composite.
  • Every composite number has a unique prime factorization.
  • Prime factorization is not unique.

πŸ’‘ Hint: Remember the uniqueness of prime factorization.

Question 2

Is 2 an irrational number?

  • True
  • False

πŸ’‘ Hint: Think about its representation as a rational number.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the sum of a rational number and an irrational number is irrational.

πŸ’‘ Hint: Consider the properties of rational numbers.

Question 2

If p is prime and p divides aΒ², prove p divides a.

πŸ’‘ Hint: Utilize the Fundamental Theorem of Arithmetic.

Challenge and get performance evaluation