7.4.3.3 - Division in Modular Arithmetic
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Practice Questions
Test your understanding with targeted questions
Calculate 10 mod 3.
💡 Hint: Think about dividing 10 by 3 and looking for the remainder.
What is -7 mod 5?
💡 Hint: Adjust -7 into the positive range before calculating the mod.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does 'a ≡ b (mod N)' mean?
💡 Hint: Think about the remainder from the division.
True or False: Division in modular arithmetic can always be performed.
💡 Hint: Reflect on what happens when you divide numbers.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a = 17, b = 5, and N = 6, perform the operation a - b and then find the modulo.
💡 Hint: First perform the subtraction, then apply modulo.
Can you determine the conditions under which modular division is valid if a = 15, b = 5, and N = 8?
💡 Hint: Check if the divisor b is invertible mod N.
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