Simplify the mathematical expressions to determine the product or quotient in scientific notation Round so the first factor goes to the tenths place. 3.3x103

3.7

2.1x10-3

(8.6x107).(9.1x1073)

(6.9x105) (4.8x10–3)

(3.7 X 102). (4.6 x 10-3)

(1.4 x 10-6). (5.7 x 108)

(3.1 x 105)-(5.3 x 10-9)

(7.3 X 102). (6.1 x 10-7)

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?