Which statements are true about the expression 8 (a + 7)? Check all that apply. To simplify, distribute a to 8 and to 7.
8(a) can be rewritten as 8a.
8 (a + 7) can be rewritten as 8 (a) + 8 (7).
8 (a + 7) can be rewritten as 8 (a) + (7).
An equivalent expression is 15a.
An equivalent expression is 8 a + 7
An equivalent expression is 8 a + 56

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?