1. Classifying Numbers Properties

3. Number Sets Natural Numbers: 1, 2, 3, … Whole Numbers: 0, 1, 2, 3, … Integers: …-3, -2, -1, 0, 1, 2, 3, … Rational Numbers: where p and q are integers and q≠0 Irrational Numbers: non-terminating and non-repeating Real Numbers: all rational and irrational

4. These are rational: 5 -3.45 2.333…

5. These are irrational 3.46446444644446…

6. The number sets do overlap…. Real Numbers Rational Irrational Integer Whole Natural

7. Classify each number in as many ways as possible. 0.12122122212222… 56 -7

8. Classify each number in as many ways as possible. 0 23.0 -2.2

9. Activity You are to place the numbers in your bag in the appropriate place on the Venn Diagram.

10. Properties of Addition & Multiplication: For all real #’s, a, b, c… Closure: then a+b is a real number ab is a real number Commutative: a + b = b + a ab = ba Associative: (a+b)+c = a+(b+c) (ab)c = a(bc) Identity: a + 0 = 0 + a = a a*1 = 1*a = a Inverse: a + (-a) = 0

11. Distributive Property For all real numbers a, b, and c: a(b + c) = ab + ac and (b + c)a = ba + bc)

12. State a property to justify the following statements… 6 +(-3) = (-3) + 6 2(4 – 5) = (4- 5)2 3(4a+5) = 12a + 15 -5 + (x + 2) = (-5 + x) + 2 (x+3) + 6 = 6 + (x+ 3) 4 ( 1) = 4 -5 + 5 = 0

13. What type of number do I get when I perform the following operation?

16. +50 5 0

21. X50 5 0

22. Homework Worksheet