7.4.3.1 - Addition and Subtraction Rules
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Practice Questions
Test your understanding with targeted questions
Calculate 12 mod 5.
💡 Hint: Think about how many times `5` fits into `12`.
What is 9 mod 4?
💡 Hint: Consider the remainder when you divide `9` by `4`.
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Interactive Quizzes
Quick quizzes to reinforce your learning
If 8 ≡ x (mod 5) and x = 3, what is true?
💡 Hint: Consider how both numbers interact with `5`.
In modular arithmetic, a + b (mod N) is equivalent to:
💡 Hint: Revisit how remainders are calculated.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Explore the implications of 15 ac ≡ 5 bc (mod 10). Under what conditions can 'c' be cancelled from both sides?
💡 Hint: Consider when numbers become zero mod 10.
Demonstrate the failure of division in modular arithmetic by finding values of a and b such that a/b (mod 8) yields an invalid conclusion.
💡 Hint: Explore values that don’t yield clean divisions.
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