Decimal Expansion of Rational Numbers


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question 1 of 3

Which of the following rational numbers is a repeating decimal?

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1. Which of the following is a terminating decimal?

2. Which of the following is an irrational number?

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About This Quiz & Worksheet

With the quiz and printable worksheet you can test your understanding of repeating decimals, rational and irrational numbers, and converting between decimals and fractions. You will be given the opportunity to demonstrate your knowledge by solving math problems that require decimal/fraction conversions to identify these number types.

Quiz & Worksheet Goals

In this assessment you'll be tested on:

  • How to identify rational numbers that are repeating decimals
  • Using fraction to decimal conversions to find terminating decimals
  • Locating irrational numbers
  • Converting a repeating decimal into a rational number

Skills Practiced

  • Making connections - use your understanding of decimal/fraction conversion to identify rational and irrational numbers
  • Problem solving - use acquired knowledge to solve practice problems in decimal/fraction conversion
  • Defining key concepts - ensure that you can accurately define main phrases, such as repeating and terminating decimals as well as irrational numbers

Additional Learning

To learn more about converting between decimal and rational numbers, review the accompanying lesson entitled Decimal Expansion of Rational Numbers. This lesson covers the following topics:

  • Repeating decimals and decimals that do not end
  • How rational numbers differ from irrational numbers
  • Repeating decimals as opposed to terminating decimals
  • Making decimal expansions
Final Exam
Common Core Math Grade 8 - The Number System: Standards
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Chapter Exam