picture shows how much money Aaron has in his jacket pocket. If he uses $1.12 to buy a soda, how much money does he have left? $2.43 $7.43 $8.55 $9.67

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?