7.4.3 - Arithmetic Rules of Modular Arithmetic
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Practice Questions
Test your understanding with targeted questions
What is 18 mod 5?
💡 Hint: Find how many times 5 fits into 18, and what’s left over.
Calculate (4 + 6) mod 5.
💡 Hint: Add the numbers first, then find the remainder when divided by 5.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is 9 mod 4?
💡 Hint: Perform the division and find the leftover.
Is division always defined in modular arithmetic?
💡 Hint: Think about how division handles negative or smaller numbers in the modulus.
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Challenge Problems
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Using the square-and-multiply algorithm, find 7^23 mod 5.
💡 Hint: Convert the exponent to binary first.
Provide a real-world application of modular arithmetic in cryptography.
💡 Hint: Think about how encrypting messages requires specific math operations that secure them.
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