13.3.1 - Group of Integers under Addition
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Practice Questions
Test your understanding with targeted questions
What is the identity element for the group of integers under addition?
💡 Hint: Think about what number does not change another number when added.
State one property of a group.
💡 Hint: There are multiple properties to choose from.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the closure property imply in the context of groups?
💡 Hint: Reflect on the examples of groups we've covered.
True or False: Every element in a group has an inverse.
💡 Hint: Think about the properties that define a group.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
If a group has elements {1, 2, 3} under addition mod 4, list all possible sums of two elements and analyze if this set forms a group.
💡 Hint: Consider closure and whether each result remains in the set.
Given the integers with an operation augmented by a new 'twist' where n=3 (addition mod 3), what are the group properties? List inverses.
💡 Hint: Examine how mod 3 affects numbers and which results stay within our defined set.
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