Real Numbers Quiz

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Questions and Answers

What are the two main categories that make up the set of real numbers?

  • Natural numbers and prime numbers
  • Whole numbers and integers
  • Negative numbers and positive numbers
  • Rational numbers and irrational numbers (correct)

Which of the following correctly depicts the representation of the real number $\pi$ on the number line?

  • A line segment connecting 3 and 4
  • A ray extending from zero to infinity
  • A point on the line that is marked as 3.14
  • A point that lies between 3 and 4 (correct)

Which type of decimal representation can classify the number $\frac{1}{3}$?

  • Finite decimal
  • Non-terminating recurring decimal (correct)
  • Terminating decimal
  • Exact decimal

Which statement about irrational numbers is true?

<p>Irrational numbers cannot be expressed as fractions (B)</p> Signup and view all the answers

Which historical development of numbers primarily contributed to the creation of irrational numbers?

<p>The discovery of roots of numbers (D)</p> Signup and view all the answers

Flashcards

Real Numbers

All numbers that can be represented on a number line.

Rational Numbers

Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.

Irrational Numbers

Numbers that cannot be expressed as a fraction.

Number Line Representation

Visualizing real numbers as points on a straight line.

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Terminating Decimals

Decimals that have a finite number of digits.

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Study Notes

Real Numbers

  • Students will learn about the history of numbers.
  • Real numbers are the combination of rational and irrational numbers.
  • Students will represent real numbers on a number line.
  • Students will understand numbers with terminating and non-terminating recurring decimals.

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