Download Irrational Numbers

Lesson 9.4
Square Roots
4/13/10
number – a number that can be
written as a quotient of two integers
 Rational
number – a number that cannot
be written as a quotient of two integers
 Irrational


Never terminates
Never repeats
-12.65128791357921. . .
Real numbers – consist of all
rational and irrational numbers
Rational Numbers
3
-7
5
1
2
-0.75
-√51
√2
Integers
-√49
-13
√16
0
Whole Numbers
1257
Irrational Numbers
-0.549318573. . .
6
Square roots are either perfect squares or irrational numbers.
Tell whether the number is rational or irrational.
a)
1
5
= 0.2
b)
1
9
= 0.11111. . .
Rational
Rational
c) √22 = 4.69041576. . .
Irrational
Copy and complete √5 ?
√5 ≈ 2.236. . .
11
4
= 2.75
√5 <
11
4
11
4
using <, >, or =.
Using a number line to order numbers