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ZingPath: Numeracy

Sums and Products of Rational and Irrational Numbers

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Sums and Products of Rational and Irrational Numbers

Algebra-1

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You will determine whether the sums and products of rational and irrational numbers are rational or irrational.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Explain why the sum or product of two rational numbers is rational.
  • Explain why the sum of a rational and irrational number is irrational.
  • Explain why the product of a nonzero rational and irrational number is irrational.
  • Explain that the sum or product of two irrational numbers might be rational or irrational.

Everything You'll Have Covered

Tutorial Details

Approximate Time 2 Minutes
Pre-requisite Concepts Students should be able to define rational and irrational numbers and know their decimal representations; and know that integers are closed under addition and multiplication.
Course Algebra-1
Type of Tutorial Animation
Key Vocabulary irrational number, products, rational numbers