The product of two rational numbers is

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

The product of two rational numbers is

Explanation:
Rational numbers are numbers that can be written as a fraction of integers with a nonzero denominator. When you multiply two such fractions, you multiply the numerators and the denominators: (a/b) × (c/d) = (ac)/(bd). Since ac and bd are integers and the product of nonzero integers bd is still nonzero, the result is another fraction with an integer numerator and a nonzero integer denominator. That makes it a rational number. This also covers the case where one factor is zero, giving 0, which is rational. So the product of two rational numbers is rational.

Rational numbers are numbers that can be written as a fraction of integers with a nonzero denominator. When you multiply two such fractions, you multiply the numerators and the denominators: (a/b) × (c/d) = (ac)/(bd). Since ac and bd are integers and the product of nonzero integers bd is still nonzero, the result is another fraction with an integer numerator and a nonzero integer denominator. That makes it a rational number. This also covers the case where one factor is zero, giving 0, which is rational. So the product of two rational numbers is rational.

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