7.2 - Lecture - 55: Modular Arithmetic
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Practice Questions
Test your understanding with targeted questions
What is 7 mod 3?
💡 Hint: Think about how many times 3 can fit into 7.
Explain what it means for two numbers to be congruent modulo N.
💡 Hint: Consider the definition of congruence.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 10 mod 3?
💡 Hint: Sit down and think about how many times 3 goes into 10.
Is the statement '6 ≡ 2 (mod 4)' true?
💡 Hint: Calculate 6 mod 4 and see if it equals 2.
1 more question available
Challenge Problems
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Prove that if a ≡ b (mod N) and c is an integer, then a + c ≡ b + c (mod N).
💡 Hint: Rewrite a in terms of its congruence definition.
Find all integers x such that 2x ≡ 1 (mod 3).
💡 Hint: Try small integers and check their congruence.
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