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)

Question

Responses

Malanna
Malanna

Both options are possible depending on the numbers.
Both options are possible depending on the numbers.

Neither of them, it depends on the number.
Neither of them, it depends on the number.

Jolene

Answer 1

Jolene is correct. When you multiply two rational numbers, the product will always be rational. Rational numbers are defined as numbers that can be expressed as a fraction of two integers (i.e., \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \)). The product of two rational numbers is also a fraction of two integers, which means it remains rational.

Therefore, Malanna's statement is incorrect.