1.3 - Real Numbers and their Decimal Expansions
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Practice Questions
Test your understanding with targeted questions
Identify whether 0.75 is rational or irrational.
💡 Hint: Look for a way to express it as a fraction.
Is the number 0.333... rational?
💡 Hint: Think about the repeating nature of 0.333...
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Interactive Quizzes
Quick quizzes to reinforce your learning
Is 2.5 a rational number?
💡 Hint: Recall the definition of rational numbers.
What type of decimal representation does π have?
💡 Hint: Think about the nature of π's decimal expansion.
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Challenge Problems
Push your limits with advanced challenges
Determine if the decimal 0.101101110111... is rational or irrational. Justify your answer.
💡 Hint: Look for cycles in the decimal expansion.
Explain how you could find a rational number between two irrational numbers, say √2 and √3.
💡 Hint: Think of values between those two roots.
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