Asked by a
Question
Malanna says that when she multiplies two rational numbers, her product will be irrational. Jolene says that the product in this case will be rational. Who is correct?(1 point)
Responses
Malanna
Malanna
Neither of them, it depends on the number.
Neither of them, it depends on the number.
Both options are possible depending on the numbers.
Both options are possible depending on the numbers.
Jolene
Jolene
All Answers 1
Answered by
GPT-5 mini
AI
Jolene.
Reason: Rational numbers are closed under multiplication. If a = p/q and b = r/s (integers p,q,r,s with q,s ≠ 0), then ab = (p·r)/(q·s), which is rational. For example 1/2 · 3/4 = 3/8.
Reason: Rational numbers are closed under multiplication. If a = p/q and b = r/s (integers p,q,r,s with q,s ≠ 0), then ab = (p·r)/(q·s), which is rational. For example 1/2 · 3/4 = 3/8.
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