Rational and Irrational Numbers Quiz
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Rational and Irrational Numbers Quiz

Test your knowledge about rational and irrational numbers with this quiz. Explore the properties and operations related to rational and irrational numbers and strengthen your understanding of their unique characteristics.

Created by
@ProsperousLouvreMuseum

Questions and Answers

Irrational numbers cannot be written in the p ⁄ q form. There is a unique real number that can be represented on a number line. If r is one such rational number and s is an irrational number, then (r + s), (r – s), (r × s) and (r ⁄ s) are ______.

irrational

Formulas Any number that can be written in the form of p ⁄ q where p and q are integers and q ≠ 0 are ______ numbers.

rational

For positive real numbers, the corresponding identities hold together ______.

irrational

Study Notes

Characteristics of Irrational Numbers

  • Irrational numbers cannot be written in the p ⁄ q form.
  • There is a unique real number that can be represented on a number line.

Operations with Rational and Irrational Numbers

  • If r is a rational number and s is an irrational number, then (r + s), (r – s), (r × s) and (r ⁄ s) are irrational numbers.

Rational Numbers

  • Any number that can be written in the form of p ⁄ q, where p and q are integers and q ≠ 0, are rational numbers.

Identities for Positive Real Numbers

  • For positive real numbers, the corresponding identities hold together.

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