Which of the following is an example of an irrational number?

Get ready for the FTCE Mathematics 5-9 exam with our quiz. Test your knowledge with flashcards and multiple choice questions, complete with hints and explanations. Prepare effectively and pass your test!

Irrational numbers are numbers that cannot be expressed as a fraction of two integers, meaning their decimal expansions are non-repeating and non-terminating. The value of π (pi) is a well-known example of an irrational number; it is approximately equal to 3.14159 and continues infinitely without repeating.

In contrast, the other choices represent rational numbers. For example, 1/2 and 0.5 can be expressed as fractions of integers (1/2 is already a fraction, and 0.5 equals 1/2 when converted), while -1 can also be expressed as -1/1, qualifying it as a rational number as well. Thus, the correct answer highlights a number that distinctly does not fit the category of rational numbers, which is why π is the exemplary choice for an irrational number.

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