Which axiom is used to prove that the product of two rational numbers is rational?(1 point) Integers are closed under multiplication. Integers are closed under division. Whole numbers are closed under division. Natural numbers are closed under multiplication.

Integers are closed under multiplication.

Explanation:

Rational numbers are numbers of the form:

a/b

such that a and b are integers.

The axiom: " Integers are closed under multiplication. "

Says that if we have two integers, x and y, then:

x*y is also an integer.

So if we have two rational numbers,

a/b and c/d

Such that a, b, c and d are integers, and we multiply them, we have:

(a/b)*(c/d) = (a*c/b*d)

the numerator is a*c is the product of two integers, so this is an integer by the previous axiom.

the denominator is b*d, also a product of integers, so this is an integer.

then (a*d)/(b*d) is the quotient of two integers, then this is a rational number.