Let a = 67, b = 32, and n = 7.a. Verify that 7
Chapter 8, Problem 4E(choose chapter or problem)
Problem 4E
Let a = 67, b = 32, and n = 7.
a. Verify that 7 | (68 − 33).
b. Explain why 68 ≡ 33 (mod 7).
c. What value of k has the property that 68 = 33 + 7k?
d. What is the (nonnegative) remainder obtained when 68 is divided by 7? When 33 is divided by 7?
e. Explain why 68 mod 7 = 33 mod 7.
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