Answer:
Yes, The rational numbers are closed under multiplication.
Step-by-step explanation:
A rational number is a number which can be expressed in the form of a fraction [tex]\frac{x}{y}[/tex], where x and y are integers and y ≠ 0.
Now, closure property of multiplication states that if two rational numbers are multiplied then the product is also a rational number. Thus, if r and t are rational numbers, then
r×t = s, where s is the product of r and t
s is also a rational number.
Hence, the rational numbers are closed under multiplication.
This can be better explained with the help of an example [tex]\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}[/tex],
It is clear that [tex]\frac{6}{20}[/tex] is a rational number.
