Bell Work:
1.) Estimate 6
3
2.)What is 64
Who are YOU?
I am the class of 2018.
I am responsible for my Character and my Education.
I am responsible for my life and all of my actions.
I AM a life-long Learner.
My education creates opportunities.
I will not violate the Integrity of my Character.
My Character is the key to my Success.
What does it take to be successful?
HARD WORK.
But I am not afraid of adversity.
There is Nothing I cannot Do.
The ME I see is the ME I’ll be.
I determine what I will become.
Yesterday’s failures are behind me.
Tomorrow’s Triumphs are now Before Me.
I Will make Today the Very Best day,
because THIS Day Begins the rest of my Life.
I accept the Challenge to be the best that I can be.
There are Two Types of
People….
NORMAL….
AND……
RATCHET!!!!!!!
Two Kinds of Real Numbers
• Rational Numbers
• Irrational Numbers
Rational Numbers
A rational number is a number that can
be expressed as a fraction or ratio
(rational).
When the fraction is divided out, it
becomes a terminating or repeating
decimal.
All WHOLE NUMBERS (positive and
negative)
Rational Numbers
Nice numbers.
Rational: -6,-1/2, 0, 2/3…
1. 1 = 0.1
10
2. 7 = 7.0 or 7/1
Integers: …-2,-1,0,1,2..
Whole: 0,1,2,…
Natural: 1,2,3,….
3. -5.9 =
Examples of Rational
Numbers
•16
•1/2
•3.56
•-8
•1.3333…
•- 3/4
Irrational Numbers
• An irrational number cannot be expressed as a
fraction (no-ratio).
• Irrational numbers are non-terminating,
non-repeating decimals.
π
= 3.141592654…..
𝟐 = 1.414213562…..
OR =
3.25225222522225…
Rational and Irrational
Numbers
Convert the following to decimals!
1) 1) 5/11
2) 2) 22/7
3) 4/5
4)
5)
25
22
Do they repeat? Terminate? Neither?
Rational and Irrational
Numbers
Work Period Agenda:
 Rational/Irrational Activity
 Complete a Double Bubble Thinking Map
Comparing/Contrasting Rational and
Irrational Numbers.
Rational Or Irrational?
Why?
0.4
Rational Or Irrational?
Why?
25
Rational Or Irrational?
Why?
0.349…
Rational Or Irrational?
Why?
π
Rational Or Irrational?
Why?
-6
Rational Or Irrational?
Why?
0
Rational Or Irrational?
Why?
2
5
Rational Or Irrational?
Why?
33
Rational Or Irrational?
Why?
2.3589
Rational Or Irrational?
Why?
-
10
2
Rational Or Irrational?
Why?
1.010010001…
Rational Or Irrational?
Why?
6.36
Rational Or Irrational?
Why?
-½
Rational Or Irrational?
Why?
56.01
Rational Or Irrational?
Why?
-4.2357
Rational Or Irrational?
Why?
1
3
Rational Or Irrational?
Why?
169
Rational Or Irrational?
Why?
-2.536
Rational Or Irrational?
Why?
2157
1000
Rational Or Irrational?
Why?
123
Rational Or Irrational?
Why?
-12.64039…
Rational Or Irrational?
Why?
-2.367
Rational Or Irrational?
Why?
400
Rational Or Irrational?
Why?
9
11
Rational Or Irrational?
Why?
2647.8
Rational Or Irrational?
Why?
7.560…
Rational Or Irrational?
Why?
47
Rational Or Irrational?
Why?
2.42424…
Rational Or Irrational?
Why?
- 25
Rational Or Irrational?
Why?
4
47
7
Rational Or Irrational?
Why?
-7.2
Rational Or Irrational?
Why?
900
Rational Or Irrational?
Why?
2.48
Rational Or Irrational?
Why?
13
Rational Or Irrational?
Why?
2.458
Rational Or Irrational?
Why?
-47.64
Closing
 Complete a Double Bubble Thinking Map
Comparing/Contrasting Rational and
Irrational Numbers.
Try This: Identify each number as
rational or irrational
2
 81
0.53
0.627
13.875931...