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

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Prepare for the 8th Grade FAST Mathematics Test with our Pre-Algebra quiz. Study with multiple choice questions, each with hints and explanations. Build your confidence and ensure you're ready to excel!

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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