Download 5-7 Rational and Irrational.notebook

5­7 Rational and Irrational.notebook
A
B
C
­17
√4
D
√49
F
E
5
-√36
G
H
1
7
J
I
√17
K
8
1 13
­2
1
3
L
­15.5
√40
5­7 Rational and Irrational.notebook
M
N
√82
O
-√52
­ 10
-√47
3
S
V
­0.6
√144
U
T
36
2
2
R
Q
P
­ 17
√121
√111
X
W
­11.5
14.12
5­7 Rational and Irrational.notebook
LT 2ab:
p.5
I can determine if a number is rational or irrational. I can classify the sum and product of rational and irrational numbers.
Define:
Rational
Number
a
A number that can be written in the form , b
where a and b are integers and b ≠ 0.
1) _____________________________________
2) _________________________________________
3) _________________________________________
examples:
Define:
Irrational A number that cannot be written as the quotient of two integers.
Number
1) _____________________________________
2) _________________________________________
examples:
Identify each number as rational or irrational.
1. √196
3. 1
2. ­ 121
√
6. ­1 12
7. √ 23
7
8. 0.75
√
4 25
4. ­ 45
√
5. 9. √0
10. 4.2
5­7 Rational and Irrational.notebook
Classify sums:
p.6
Rational + Rational = ____________ Irrational + Irrational = ____________ Rational + Irrational = ____________ Classify Products:
Rational * Rational = ____________ Irrational * Irrational = ____________ Rational * Irrational = ____________ You try: Simplify and classify each expression as rational or irrational.
1. 1
2( )
5
4. 5( )
√2
Summary:
2. √ 6
√3
5. √ 7 +√ 7
3. √ 3 √ 12
6. 5 + √12
5­7 Rational and Irrational.notebook
CW
p.7 (card sort)
p.7
P p.7 (all)
Card sort: Sort cards into two piles: Rational and Irrational. Record answers below.
Rational
Irrational
Card sort: Record the answers on the number line below.
(record rational #'s above number line.)
­15
­10
­5
10
5
0
(record Irrational #'s below number line.)
For 1­8, simplify and classify the expressions as rational or irrational.
1. 5 + √ 4
2. 7( 6 )
√
3. 9 +√ 7
4. 2( 9 )
√
√ 1 + √ 64
6. √16 √ 25
7. √12 + √ 12
8. √3 √3
5. 15
5­7 Rational and Irrational.notebook
1­4
3­4
5­7
7
5­7 Rational and Irrational.notebook
p.7 answers
Irrational
Rational
D, H, L, M, N, Q, U
K
W
P I VG A
O
­10
­15
­5
NQ
F E CJ
0
TR X
10
5
DH L
1.
R
2. Irr
3.
Irr
4.
R
5.
R
6.
R
7.
Irr
8.
R
M U
15
BS