In a large population, very close to 25% of the observations will fall below the 25th percentile (q1), and close to 75% fall below the 75th percentile (q3). the web site of the educational testing service reports that on the sat verbal test, with a possible perfect score of 800, the 89th percentile of 1,475,623 scores nationwide is a score of 670. what is the best estimate of exactly how many scores were below 670?

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?