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Cornell Notes for P.1 1. What are real numbers? _______________________ 2. What are rational numbers? _______________________ 3. What are irrational numbers? _______________________ 4. What is the real number line? _______________________ 5. What does nonnegative mean? _______________________ 6. What is one-to-one correspondence? _______________________ 7. What is the definition of order on the real number line? ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ ________________________________________ _______________________ 8. How do I describe the subset of real numbers represented by a) x ≤ 2 b) -2 ≤ x < 3 ? _______________________ 9. What are bounded intervals? ________________________________________ _______________________ 10. What are open intervals? ________________________________________ _______________________ 11. What are closed intervals? ________________________________________ _______________________ 12. What are unbounded intervals? _________________________________________ ________________________________________ 13. How do I use inequality notation to describe each of the following? a) c is at most 2 b) m is at least -3 c) All x in the interval (-3, 5] _______________________ 14. How do I give a verbal description of each interval? a) (-1, 0) b) [2, 00) c) (-00, 0) _______________________ 15. What does the Law of Trichotomy state? _______________________ 16. What does absolute value mean? _______________________ x 17. How do I evaluate for x a) x > 0 and b) x < 0? _________________________________________ _________________________________________ _________________________________________ _________________________________________ _______________________ 18. What are Properties of Absolute Value? _________________________________________ _______________________ 19. What is the Distance Between Two Points on the Real Line? _______________________ 20. What are variables? _______________________ 21. What are algebraic expressions? _______________________ 22. What are terms of algebraic expressions? _______________________ 23. What is a constant term? _________________________________________ _________________________________________ _________________________________________ _________________________________________ _________________________________________ 24. What is a coefficient? _______________________ 25. What does evaluate mean? _______________________ 26. What is the Substitution Principle? _______________________ 27. What are some verbal statements that describe each property of the Basic Rules of Algebra? _________________________________________ _________________________________________ _________________________________________ _______________________ 28. How could I summarize the Properties of Negation? _________________________________________ _______________________ 29. How could I summarize the Properties of Equality? _________________________________________ _______________________ 30. What are the Properties of Zero? _________________________________________ _______________________ 31. How could I summarize the Properties and Operations of Fractions? _________________________________________ 32. What are factors, prime numbers, and composite numbers? _______________________ 33. What is the Fundamental Theorem of Arithmetic? _______________________ Summarize: 1) How do we represent and classify real numbers? _________________________________________ _________________________________________ _______________________ 2) How do we order real numbers and use inequalities? _________________________________________ _______________________ 3) How do we find the absolute values of real numbers and find the distance between two real numbers? _________________________________________ _______________________ 4) How do we evaluate algebraic expressions? _________________________________________ _______________________ 5) How do we use the basic rules and properties of algebra? _________________________________________