How to Ace a Math Test

Integers: Lesson 100 Practice Questions with Answers – Algebra 1 Basics

Prove the following statements: (a) If gcd(a, n)=1, then the integers c, c a, c 2 a, c 3 a, …, c (n-1) a form a complete set of residues modulo n for any c. (b) Any n consecutive integers form a complete set of residues modulo n. [Hint: Use part (a).] (c) The product of any set of n consecutive integers is divisible by n. | Numerade

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