Binary Operation & Binary Structure: Standard Sets in Abstract Algebra


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question 1 of 3

Suppose ab = 3a + 2b. Find 3 ♠ 2

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1. Which of the following operations is commutative?

2. Which of the following is an associative binary equation?

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About This Quiz and Worksheet

For this quiz and worksheet combo, you are reviewing binary operation and structure in abstract algebra. Questions focus on commutative operations, along with the reason division cannot form a binary structure with integers.

Quiz and Worksheet Goals

To determine how well you know the material, questions on the quiz address the following topics:

  • Commutative operations
  • Associative binary equations
  • An explanation why division cannot form a binary structure with integers
  • Choosing the binary structure from a list

Skills Practiced

  • Knowledge application - utilize your skills to answer questions involving commutative operations
  • Problem solving - use what you know to solve an equation with a binary operation
  • Information recall - remember what you have learned about binary structures and integers

Additional Learning

For more info on binary operations, click on the lesson titled Binary Operation & Binary Structure: Standard Sets in Abstract Algebra. Utilizing this lesson gives you access to the additional topics mentioned in the bullet list below:

  • Defining 'binary operation'
  • An explanation of binary structure
  • Comparing commutative and associative operations