2. Natural Numbers Where do the natural numbers start? 1 Write them in set notation {1, 2, 3,... }

3. Whole Numbers Where do the whole numbers start? 0 Write them in set notation {0, 1, 2, 3,... }

4. Integers Define integers using whole numbers Whole numbers and their opposites Write in set notation {... -3, -2, -1, 0, 1, 2, 3,... }

5. Rational Numbers Define rational numbers using integers A ratio of two integers, but the denominator cannot be zero Write in set building notation

7. Irrational Numbers Define irrational numbers using rational numbers Numbers that are not rational Most common examples Square roots, radicals

8. Real Numbers Define real numbers using rational and irrational numbers. Any number that is rational or irrational Define real numbers using the phase “number line” Any number that is on a number line

9. Imaginary Numbers What is an imaginary number? A number that has an i in it. What is i ? Square root of -1

11. Complex Numbers All real numbers are complex numbers All imaginary numbers are complex numbers In general, any number of the form a + bi where a is the real part and bi is the imaginary part

13. Give a number that is a whole number but not natural number. 0

14. Give a number that is an integer but not a whole number -4

15. Give a rational number that is not an integer

16. What Property is this? 5 + 3 = 3 + 5Commutative Property of Addition

17. 7 + 0 = 7 Additive Identity Property

18. 5(a + b) = 5a + 5b Distributive Property

19. Additive Inverse Property

20. 5 + (x + y) = (5 + x) + y Associative Property of Addition

21. Multiplicative Inverse Property

22. 8x = 8x Reflexive Property of Equality