# Sets of Real Numbers The language of set notation.

## Presentation on theme: "Sets of Real Numbers The language of set notation."— Presentation transcript:

Sets of Real Numbers The language of set notation

Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3}  Name an element of B -3 B -1 B 6 B  C is a subset of A ( C A ) – Name a possible set C C = C = Is the set { 1, 2, 4 } of A?

A “Union” B Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3}  {-6, -4, -3, -2, -1, 0, 1, 2, 3, 4 }  is the set made of all elements which are in A or B

A intersection B Given A = { -6, -4, -2, 0, 2, 4 } Given B = {-3, -2, -1, 0, 1, 2, 3}  {0, 2}  is the set made up of all elements which are in both A and B.

Summarize  With your partner fill in the Frayer Diagrams with the vocabulary we have talked about so far.

The Real Number System N Z Q R Q’

The Real Number System  Natural Numbers  {0, 1, 2, 3……}

The Real Number System  Integers – Z  {…-3, -2, -1, 0, 1, 2, 3…}  Positive Integers – Z +  {1, 2, 3, 4, ……}

The Real Number System  Rational Numbers – Q  Q – { where p and q are integers and q ≠ 0 }  Examples of rational numbers.3,, Why are repeating decimals rational? Example 4 pg 21

The Real Number System  Irrational Numbers – Q’  Numbers that cannot be written in the form where p and q are integers, q ≠ 0.  Examples: e,,,

The Real Number System  R = {Real Numbers}  All numbers that can be placed on a number line.

True or False?

Name the sets of numbers to which the following belong:  -3  1.3 x 10 -4  1.2 x 10 2 55 Q’, R Z, Q, R N, Z, Q, R Q, R N, Z, Q, R

Place the numbers on the appropriate place in the Venn Diagram 1.2 x 10 2 -3 1.3 x 10 -4 5 NZ Q Q’ R