Question

Why is the product of two rational numbers always rational? Select from the drop-down menus to correctly complete the proof.

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are____, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are ____, and bd is not 0. Because ac/bd is the ratio of two_____, the product is a rational number.

All blanks are either: Intergers or Irrantional Numbers

Answer 1

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are__INTEGERS__, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are _INTEGERS___, and bd is not 0. Because ac/bd is the ratio of two_INTEGERS____, the product is a rational number.

Explanation:

Answer 2

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are__INTEGERS__, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are _INTEGERS___, and bd is not 0. Because ac/bd is the ratio of two_INTEGERS____, the product is a rational number.