EDT 5303 TECHNOLOGY AND INNOVATION IN

EDUCATION

GROUP 2 :

NORLIZAWATI MUHAMAD HASSAN

NORHASZUANI MOHD NASIR

NORMAZUIN MOHD NOOR

Objectives1. Define and recognize:

rational numbers and irrational numbers, natural numbers, whole numbers and integers.

2. List the numbers belonging to any subsets of R

3. State the relationship among sets of numbers.

Recall

0 4-4

142.3

e...71828.22

3

Manual of this tutorial!This tutorial is designed to teach you about Real

numbers. The presentation starts with notes and examples followed by practice problems.

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Real Numbe

rs

Natural Number

s

Whole Number

sInteger

s

RationalNumbe

rs

IrrationalNumb

ers

Naturals Numbers

Type of Number

Definition Examples

Natural

Number

N

The set of counting

numbers which is

also a subset of

real number

1

3√16

24/4

343

Whole Numbers

Type of Number

Definition Examples

Whole

Number

W

The set of natural numbers plus a “0”

0

3√16

1

343

W = {0,1,2,3,4,…}

Integers

Type of Number

Definition Examples

Integer

Z

The set of natural numbers, their negatives and 0

-√16

024/4

-2

343Z={…,-3,-2,-1,0,1,2,3,…}

Rational Numbers

Type of Number Definition Examples

Rational

Number

Q

A subset of real number that can be written as a quotient p/q where p, q ε Z and q ≠ 0

-1⅝

3.1414…-10.45

5 - 43Q = {p/q |p, q ε Z, q ≠ 0}

Irrational Numbers

Type of Number

Definition Examples

Irrational

Number

Q’

A subset of real numbers that are not rational or numbers whose decimal parts neither repeat nor terminate.

e

π3√(-12)

√2

-7.4512…

Real Numbers

Real numbers can be divided into two basic groups: Irrational numbers and Rational numbers.

Rational Numbers can further be divided into 3 groups: integers, whole numbers, and natural numbers.

Real Numbers (R)

Rational Numbers (Q)

Integers (Z)

Whole Numbers

(W)

Natural Numbers

(N)

Irrational Numbers (Q’)

Sets of numbers

N1,2,3..

W 0

-1,-2..Z

1/2,Q R

∏ (pi)

√5

Q’

R='Q∪Q∴

Practice 1Determine whether each statement is TRUE or FALSE.

1. Every counting number is an integer.

2. Zero is a counting number.

3. Negative six is greater than negative three.

4. Some of the integers is natural numbers.

True

True

False

False

Practice 2

Which of the following

numbers is irrational?

A

D

-1/2

3.63

121

3 37

B

C

SORRY….TRY AGAIN!!!

Well Done!

Practice 3

Which of the following

is a rational number?

A

B

C

D

1/5

3

25/115

SORRY….TRY AGAIN!!!

Well Done!

Practice Makes Perfect

video

Exercises

Refer to:

numb3rscene@blogspot.com

Video

ReferencesNotesMath Is FunMathWorld.Wolfram.co

m

YAY!!!You have completed the tutorial on

Real Numbers!!

Congratulations!!