7.4.1 - Definition and Concept of Modulus
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Practice Questions
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What is 8 mod 3?
💡 Hint: Consider how many times 3 goes into 8.
Calculate -10 mod 5.
💡 Hint: Think about watching -10 on the number line.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of 14 mod 5?
💡 Hint: How many times does 5 go into 14, and what is left over?
True or False: -1 mod 5 equals 4.
💡 Hint: Think about adjusting -1 to the range of positive numbers.
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Challenge Problems
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Prove that if a ≡ b mod N, then b ≡ a mod N.
💡 Hint: Consider rearranging the congruence definition.
If you have 7 along with 17, what can you conclude about their congruence under a modulus of 5?
💡 Hint: Calculate each one's modulus first.
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