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11-22.

Recall that a rational number is a number that can be written as a fraction where and are integers and .

  1. 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?

  2. 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).