Question

Why is the product of two rational numbers always rational?

Select from the drop-down menus to correctly complete the proof.

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are _____, and b and d are not 0. The product of the numbers ac/bd, where bd is not 0. Both ac and bd are _____, and bd is not 0. Because ac/bd is the ratio of two _____, the product is a rational number.

Blank 1:
a. integers
b. irrational numbers

Blank 2:
a. integers
b. irrational numbers

Blank 3:
a. integers
b. irrational numbers

PLS ANSWER ASAP!!! 30 POINTS!!!

Answer 1

all three blanks are integers

Explanation:

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are _integers____, and b and d are not 0. The product of the numbers ac/bd, where bd is not 0. Both ac and bd are integers_____, and bd is not 0. Because ac/bd is the ratio of two integers_____, the product is a rational number.