### Home > INT3 > Chapter 11 > Lesson 11.1.2 > Problem 11-22

11-22.

Recall that a rational number is a number that can be written as a fraction and

*are integers and*

*.*

In part (a) of problem 11‑17 you multiplied two rational numbers and your result was a rational number. Will that always be true? In other words, is the set of rational numbers closed under multiplication? Justify your answer.

Is this answer a rational number?

In part (b) of problem 11-17 you divided two rational numbers and your result was a rational number. Are the rational numbers closed under division? Justify your answer.

Use the same method as part (a).