Which statement correctly classifies the numbers sqrt(2), 3/5, and pi as rational or irrational?

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Which statement correctly classifies the numbers sqrt(2), 3/5, and pi as rational or irrational?

Explanation:
Rational numbers are those that can be written as a ratio of two integers. Irrational numbers cannot be written that way and usually don’t have decimal forms that terminate or repeat. sqrt(2) can’t be expressed as a fraction of integers, so it’s irrational. The fraction 3/5 is already a ratio of integers with a nonzero denominator, so it’s rational. Pi’s decimal expansion goes on forever without repeating, which means it’s irrational. So the statement that matches these classifications is: sqrt(2) irrational; 3/5 rational; pi irrational.

Rational numbers are those that can be written as a ratio of two integers. Irrational numbers cannot be written that way and usually don’t have decimal forms that terminate or repeat.

sqrt(2) can’t be expressed as a fraction of integers, so it’s irrational. The fraction 3/5 is already a ratio of integers with a nonzero denominator, so it’s rational. Pi’s decimal expansion goes on forever without repeating, which means it’s irrational.

So the statement that matches these classifications is: sqrt(2) irrational; 3/5 rational; pi irrational.

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