Describe three different algorithms you use in everyday life

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1. Before proceeding, review the formal definition of congruence modulo n.

(a) Prove (directly) that if a ≡ b (mod n) and c ≡ d (mod n), then ac ≡ bd (mod n).

(b) Prove that if a ≡ b (mod n), then ak ≡ bk (mod n).

(c) Is 9257 ≡ 657 (mod 43)? Explain.

2. Describe three different algorithms you use in everyday life. Write them as lists of instructions in human-readable form. What changes would need to be made for these instructions to be specific enough for a machine to follow?

Reference no: EM131239977

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