Practice - Commutativity
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Practice Questions
Test your understanding with targeted questions
Is addition of whole numbers commutative? Give an example.
💡 Hint: Think about the order of adding numbers.
Provide an example of commutative multiplication.
💡 Hint: Try multiplying two numbers in different orders.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Is addition commutative?
💡 Hint: Think back to the definitions.
Which of the following operations is NOT commutative?
💡 Hint: Try to recall what happens when you swap the numbers.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that for three rational numbers a, b, and c, the following holds true: a + (b + c) = (a + b) + c.
💡 Hint: Substitute a few rational numbers and simplify both sides.
Calculate and compare the results of 15 - 5 and 5 - 15, to demonstrate the non-commutative nature of subtraction.
💡 Hint: Work through each calculation to highlight the differences.
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