Lesson 1 – 1 Real Numbers Advanced Math/Trig No Calculator!!! Ch 1.1 – 1.5 Test Tuesday 9/15/15

Learning Objective To understand properties of real numbers To understand union of sets To understand intersection of sets

Real (R ) Rational (Q)Irrational (H) Integers (Z) Whole (W) Natural (N) (…,–2, –1, 0, 1, 2, …) Terminating or repeating decimal (4, –5, 0.02, , ) (0, 1, 2, 3, …) (1, 2, 3, …) Real Numbers

1, 2, 3… Natural (N) 0, 1, 2, 3… Whole (W) … –3, –2, –1, 0, 1, 2, 3… Integers (Z) Real Numbers (R) Irrational (H)

In which set does each belong?  N, W, Z, Q, R  Q, R  H, R  Q, R  Z, Q, R

Union & Intersection of Sets

Examples LetR = {real numbers} H = {irrational numbers} Q = {rational numbers} Z = {integers} W = {whole numbers} N = {natural numbers}

1, 2, 3… Natural (N) 0, 1, 2, 3… Whole (W) … –3, –2, –1, 0, 1, 2, 3… Integers (Z) Real Numbers (R) Irrational (H)

Find the following

A = {0, 2, 3, 4, 6, 9} B = {0, 2, 4, 6, 8, 10}C = {3, 4, 5, 6}

Ticket Out the Door

Homework #101 Pg. 9 #1 – 9 odd, 11 – 20 all, 21 – 31 odd