14. the height of an office building is 114.425 meters. the height of an art museum if 114.58 meters. which statement correctly compares the heights, in meters, of the buildings and justifies the comparison? (eligible content covered: m05.a-t.1.1.4 dok: 3) *
114.425< 114.58 because 425< 580
114.425> 114.58 because 425> 58
114.58< 114.425 because 114.58 has fewer digits after the decimal point than 114.425
114.58> 114.425 because the last digit in 114.58 is great than the last digit in 114.425

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?