1.4 - Operations on Real Numbers
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Practice Questions
Test your understanding with targeted questions
Is 1/2 + \( \sqrt{2} \) rational or irrational?
💡 Hint: Remember to consider that adding a rational number to an irrational number results in an irrational number.
What is the product of π and 2?
💡 Hint: Think about the multiplication of rational and irrational numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of adding a rational number and an irrational number?
💡 Hint: Think about characteristics of irrational numbers.
True or False: The product of two irrational numbers is always irrational.
💡 Hint: Consider specific examples where this rule may not hold.
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Challenge Problems
Push your limits with advanced challenges
Given irrational numbers A = \( \sqrt{7} \) and B = \( \sqrt{7} \) + \( \sqrt{3} \), classify A + B, A - B, and A * B.
💡 Hint: Use properties of irrational numbers and explore each operation.
If x and y are irrational numbers such that x + y = 6, what can be concluded about x and y?
💡 Hint: Consider the definitions of rational and irrational and how they could together make a rational number.
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