Download Real Number System Rational or irrational?

9/27/2016
Prebell
TURN IN YOUR LEAF!
4 −5
Which expression(s) is (are) equivalent to −3 ?
4
Select ALL that apply.
43
A.
Real Number System
45
1
B. 2
4
C. 4−2
I can classify numbers as rational or
irrational.
48
D. 2
4
E. 16
1
F.
16
Rational Number – any number that
can be written as a fraction (decimals
terminate or repeat)
Terminating Decimals:
• 3.875
• 7.5
• 24
Repeating Decimals:
•
2
9
•
5
11
•
24
11
•
3
7
Irrational Numbers – Numbers that
cannot be written as a fraction
(decimals do not terminate or repeat)
Square roots of non-perfect squares will
always be irrational.
• Square root – is a number that, when
multiplied by itself, equals the given number.
– Ex: 15 ∙ 15 = 225 and (−15)(−15) = 225, so
225 = ±15
Rational or irrational?
A. − 0.364
• Perfect square – a number with integer roots
Root
Square
Root
Square
Root
Square
12
1
82
64
152
225
22
4
92
81
162
256
32
9
102
100
172
289
42
16
112
121
182
324
52
25
122
144
192
361
62
36
132
169
202
400
49
142
196
252
625
72
B.
12
C. −1
3
7
D. 0.85
1
9/27/2016
All rational and irrational numbers
make up the real number system.
• Give calculator errors:
Real Numbers
Rational
Non-real Numbers
Irrational
Integer
Whole
Natural
– Dividing by zero
•
3
0
– Negative under the radical
•
−36
Classify in as many ways as possible.
A. − 121
B. 2.468
72
C.
D.
E.
24
6
−89
2