



What types of questions about rational and irrational numbers are typically asked? How can technology be used to explore and visualize the properties of rational and irrational numbers?
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- Is a number rational if and only if its decimal expansion terminates or repeats? Is a number irrational if and only if its decimal expansion is non-terminating and non-repeating?
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- Did the discovery of irrational numbers lead to changes in the way mathematicians approached proofs and definitions?
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