Post on 20-Nov-2014
description
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!!