Joyce says that 4 is a factor of every whole number that has a 4 in the ones place. Nathan says 2 is a factor of every whole number that has a 4 in the ones place. Are they both correct? Complete the following to explain. Joyce is Choose... For example, 14 has a 4 in the ones place and choose... 4. Choose... Choose... and all numbers with an Four is Nathan is Choose... as a factor. number in the ones place have Choose...

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?