![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Select two different rational numbers and then determine whether the
\product is a rational number.
\\
Try some examples. \ \
\![\"\"](\"/MathKey/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5dc655da866c262d08155d2123a71c18.png\")
![\"\"](\"/MathKey/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d3dbc3e35c01e46423a2461a50ae8981.png\")
Since the product of each pair of rational numbers is rational numbers, the set of rational numbers is closed under multiplication.![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The set of rational numbers is closed under multiplication.