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M317 sec 2
Assignment #1
due monday
1.
Prove that the product of two rational numbers is rational.
2.
Prove that the product of a rational number and an irrational number is irrational.
3.
Is the product of two irrational numbers rational or irrational?
4.
Prove that if x has a nonrepeating decimal representation, then x must be
irrational.
5.
Give an example of a real number x whose decimal representation has a
repeating block of length 5 and convert this to the quotient of two integers.
1
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