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2 cards from this section. Quick, good the night before a test.
What is 7 mod 3?
Find the remainder when dividing 7 by 3.
What is the congruence relation for 10 and 4 under modulo 6?
Check if their difference is divisible by 6.
What is the result of 12 mod 5?
Perform the division and check the remainder.
True or False: Division in modular arithmetic is always well-defined.
Consider divisibility and inversibility.
Illustrate how the square-and-multiply method can change the efficiency of calculating 2^20 mod 7.
Follow the binary positions of 1s to determine which powers to use.
Challenge yourself: Calculate and explain why 15 and 27 are not congruent modulo 6.
Check their remainders under the modulus.
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