Rational and Irrational Numbers.notebook
August 24, 2014
Rational and Irrational Numbers
Types of Decimals
1) Repeating ex) .23
2) Terminating (stops) ex) .5342
3) Nonrepeating, Nonterminating ex) 8 = 2.828427125. . . Feb 1­5:33 PM
Types of Numbers
1. rational # ­ a # that can be written as a fraction
Includes:
Terminating Decimals
and
Repeating Decimals
examples:
Feb 1­5:40 PM
1
Rational and Irrational Numbers.notebook
August 24, 2014
Question
Can animals be plants just because they are both living things?
NO!
Mar 19­7:45 AM
Question
Same as rational and irrational numbers.
They are NOT the same
.99
π
Mar 19­7:45 AM
2
Rational and Irrational Numbers.notebook
August 24, 2014
Pull
Rational numbers: Repeating or Terminating Numbers (PATTERN keeps going or stops)
Pull
9265....
Irrational numbers: Non­repeating or Non­terminating Numbers (no pattern and NEVER stops)
me #
Quick Video
Mar 19­7:45 AM
Aug 20­10:12 AM
3
Rational and Irrational Numbers.notebook
August 24, 2014
Just to Review
Aug 19­3:06 PM
2. irrational # ­ a # that can't be written as a fraction
Nonterminating
Nonrepeating
examples:
Feb 1­5:36 PM
4
Rational and Irrational Numbers.notebook
Classifying #s
1. 7 22 August 24, 2014
Rational
Irrational
Terminating
2. 4 5
Repeating
Nonterminating,
Nonrepeating
3. 2
Feb 1­5:50 PM
Rational
3. 9 20 Irrational
Terminating
4. 13
Repeating
Nonterminating,
Nonrepeating
5. 9
Feb 1­5:50 PM
5
Rational and Irrational Numbers.notebook
August 24, 2014
Comparing Numbers
1. 6 3
=
>
2. 7 49
<
1 3. 1 9 9
Feb 2­6:05 AM
Real Number
Target
Rational
Integers
Integers
Whole
Natural
Irrational
Created By: Crystal Clawson, Kristyn Heagen, and Lindsey Worthington
Sep 13­6:17 PM
6
Rational and Irrational Numbers.notebook
August 24, 2014
Real Number
Target
Rational
Integers
Whole
The set of Real Numbers consists of both the rational and irrational numbers.
Natural
Irrational
Sep 13­7:36 PM
Natural
Numbers
617
The positive counting numbers excluding zero
13
2
1
36
17
12
3
Sep 13­6:44 PM
7
Rational and Irrational Numbers.notebook
August 24, 2014
Whole
Numbers
5
0
45
The positive counting numbers including zero
1
23
2
17
99
567
Sep 13­6:44 PM
Integers
­3
1
Positive and negative whole numbers including zero
2
0
­1
­2
3
Sep 13­6:44 PM
8
Rational and Irrational Numbers.notebook
August 24, 2014
Rational
Numbers
Includes fractions, regular counting numbers, negative numbers, terminating decimals and repeating decimals.
0
3
Sep 13­6:43 PM
Irrational
Numbers
e
An irrational number is a number whose decimal part goes on forever and ever without repeating.
Sep 13­6:47 PM
9
Rational and Irrational Numbers.notebook
Move each number to the inner­most circle that it can be classified as a member of
August 24, 2014
Real Number
Target
Rational
Integers
­2
Irrational
Whole
617
36
Natural
3
23
13
0
1
Irrational
Sep 13­6:48 PM
What title should be in each box?
Real Numbers
100
...,­ /4,...,­ /2,...,0,...,0.123456789...,...,0.25,...,π,...,7,...,17.2,..., /5,...
15
1
Natural Numbers
Whole Numbers
1,2,3,...
Integers
0,1,2,3,...
...­3,­2,­3,0,1,2,3,...
Rational Numbers
...,­15/4,...,­1/2,...,0,...,0.25,...,7,...,17.2,...,100/5,...
Irrational Numbers
0.123456789....
Pull
Use the eraser to reveal the answers.
Mar 19­7:45 AM
10