7.4.2.1 - Definition of Congruence
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Practice Questions
Test your understanding with targeted questions
What is 7 mod 3?
💡 Hint: Think about the division and what is left over.
Is 8 congruent to 2 modulo 6?
💡 Hint: Perform the division and find the remainder.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 10 mod 6?
💡 Hint: Divide 10 by 6 and think about what is left.
True or False: If a ≡ b mod N, then a - b is divisible by N?
💡 Hint: Consider the definition of what it means for two numbers to be congruent.
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Challenge Problems
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Let a = 17 and b = 5, verify if both are congruent modulo 4 and explain your reasoning.
💡 Hint: Perform the modulo operation for both a and b.
If a - b = 32 and b = 12, find a and check if it is congruent with any integer c under modulus 7.
💡 Hint: You first need to find a using the relationship and then find congruency with some examples.
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