Practice Decimal Expansions Of Real Numbers (6) - Introduction to Number Systems
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Decimal Expansions of Real Numbers

Practice - Decimal Expansions of Real Numbers

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify if 0.5 is a terminating decimal. Yes or No?

💡 Hint: Does it end after a certain number of digits?

Question 2 Easy

Is 1.25 a terminating decimal? Provide a reason.

💡 Hint: Check if it has a finite number of digits.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following is a terminating decimal?

0.5
0.333...
π

💡 Hint: Check if the decimal has a stopping point.

Question 2

Is 0.666... a rational number?

True
False

💡 Hint: Remember that rational numbers can be expressed as fractions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if a decimal is non-terminating, it could either be repeating or non-repeating. Provide examples.

💡 Hint: Analyze if there’s a repeating cycle in the digits.

Challenge 2 Hard

Convert the decimal 0.111... to a fraction and explain why it qualifies as rational.

💡 Hint: Revisit how to convert a repeating decimal to a fraction.

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Reference links

Supplementary resources to enhance your learning experience.