Michael has $12.50 to buy school supplies. He spends $3.49 at one store for a package of glue sticks, but he still needs to buy 4 pens and a notebook. At the next store, he finds pens for $1.49 each. What is the most he can spend on a notebook if he buys the 3 pens?

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?