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Identify whether each of the following is rational or irrational.

Mathematics

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4. Identify whether each of the following is rational or irrational.

  • a) 13\frac{1}{3}: This is a fraction of two integers, so it is rational.
  • b) 2\sqrt{2}: The decimal representation of 2\sqrt{2} is non-terminating and non-repeating, so it is irrational.
  • c) 0.75: This can be written as 34\frac{3}{4}, so it is rational.
  • d) π\pi: The decimal representation of π\pi is non-terminating and non-repeating, so it is irrational.
  • e) 7: This can be written as $\
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