Practice Real Numbers and their Decimal Expansions - 1.3 | 1. Number Systems | CBSE 9 Mathematics
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1.3 - Real Numbers and their Decimal Expansions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify whether 0.75 is rational or irrational.

πŸ’‘ Hint: Look for a way to express it as a fraction.

Question 2

Easy

Is the number 0.333... rational?

πŸ’‘ Hint: Think about the repeating nature of 0.333...

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

Is 2.5 a rational number?

  • True
  • False

πŸ’‘ Hint: Recall the definition of rational numbers.

Question 2

What type of decimal representation does Ο€ have?

  • Terminating
  • Non-terminating Repeating
  • Non-terminating Non-repeating

πŸ’‘ Hint: Think about the nature of Ο€'s decimal expansion.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Determine if the decimal 0.101101110111... is rational or irrational. Justify your answer.

πŸ’‘ Hint: Look for cycles in the decimal expansion.

Question 2

Explain how you could find a rational number between two irrational numbers, say √2 and √3.

πŸ’‘ Hint: Think of values between those two roots.

Challenge and get performance evaluation