Which of the following is an irrational number?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which of the following is an irrational number?

Explanation:
Irrational numbers can’t be written as a fraction of two integers, and their decimal form never terminates or repeats. Pi fits this because it cannot be expressed as p/q with integers p and q, and its decimal goes on forever without a repeating block. The other options are rational: 4 equals 4/1 and terminates; 1/3 is already a fraction and equals 0.333… which repeats; 0.5 equals 1/2 and terminates. So Pi is the irrational number.

Irrational numbers can’t be written as a fraction of two integers, and their decimal form never terminates or repeats. Pi fits this because it cannot be expressed as p/q with integers p and q, and its decimal goes on forever without a repeating block. The other options are rational: 4 equals 4/1 and terminates; 1/3 is already a fraction and equals 0.333… which repeats; 0.5 equals 1/2 and terminates. So Pi is the irrational number.

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