Distributive Property Practice Remember: Multiply BOTH pieces inside the parentheses by the number outside of the parentheses.

4(3x+ 2)

3(7y-1)

5(3p + 4r)

3(2w - 5y)

10(10e + 7g)

8(2b + 5)

7(c + 7)

9(6a +x)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?