13.4 - Addition Modulo k
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Practice Questions
Test your understanding with targeted questions
What is a group in abstract algebra?
💡 Hint: Think about the properties that define a group.
Identify the identity element for addition in integers.
💡 Hint: Consider what number you can add without changing the value.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the requirement for a set to be a group?
💡 Hint: Reflect on what properties are essential for forming a group.
True or False: Addition modulo k is not a valid group operation.
💡 Hint: Look back to how addition modulo k is defined.
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Challenge Problems
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Create a new example set and operation, showing if it satisfies the four properties of groups.
💡 Hint: Use the defined properties for each check.
Discuss how arching inverses work in negative and positive integers under addition.
💡 Hint: Think about how inverses are defined relative to the identity.
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