7.4.2 - Congruence with Respect to Modulo
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Practice Questions
Test your understanding with targeted questions
What is 9 mod 4?
💡 Hint: Divide 9 by 4 and find the remainder.
Is 7 ≡ 2 (mod 5)?
💡 Hint: Check the difference of the numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is 11 mod 4?
💡 Hint: Perform integer division and focus on the leftover.
Is it possible to cancel numbers in a modular division?
💡 Hint: Remember examples that contradict this.
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Challenge Problems
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Find all integers A where A ≡ 3 (mod 5) and A ≤ 20.
💡 Hint: List multiples of 5 and add 3.
Explain how to prove that two numbers are congruent if their difference is divisible by the modulus.
💡 Hint: Focus on expressing remainders.
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