Try It

You have learned some important properties about rational numbers, irrational numbers, and their sums and products.

A graphic organizer displaying the Real Number system. Two circles are shown. The circle on the left is the circle graphic organizer containing the Rational Numbers circle with the nested Integers circle, Whole Numbers circle and the Natural Numbers circle. The circle on the right is a graphic organizer labeled Irrational Numbers.>

In this practice activity, you will analyze some numerical examples to determine if the resulting sum or product would be rational or irrational.

Rational and Irrational Numbers Tip

  • The sum or product of two rational numbers is rational.
  • The sum of a rational number and an irrational number is irrational. The product of a nonzero rational number and an irrational number is irrational.