Number Theory

1. Classify these numbers as rational or irrational and give your reason. a. 7329 b. √4 c. 0.95832758941… d. 0.5287593593593 2. Classify each number as: real, rational, irrational, whole, natural, and integer. Give your reason. a. 3/4 b. -12/4 c. 0.345 345 345 d. -0. 6473490424 3. Give examples of rational numbers that fit between the following sets of numbers. a. -0.56 and -0.65 b. -5.76 and -5.77 c. 3.64 and 3.46 4. Which two numbers are irrational? How do you know? a. 8-√56 b. 8-√25 c. 2-√7 5. Give an example of a number that would satisfy these rules. a) a number that is: real, rational, whole, an integer, and natural b) a number that is: real and irrational c) a number that is: real, rational, an integer Divisibility Rules Test the number 369 for divisibility by 2, 3, 4, 5, and 6. Explain your answers. 2? 3? 4? 5? 6? Test the number 570 for divisibility by 2, 3, 4, 5, and 6. Explain your answers. 2? 3? 4? 5? 6?