Embed Size (px)
DESCRIPTION
Start of Unit 4 Irrational Numbers Lesson Oct 7 2014
Citation preview
4.2 Irrational Numbers
1
October 07, 2014
4.2 Irrational Num
bers
4.2 Irrational Numbers
2
October 07, 2014
Classifying Numbers...
4.2 Irrational Numbers
3
October 07, 2014
Rational Numbers: Have decimal representations that either terminate or repeat.
Irrational Numbers: cannot be written in the form m/n, where m and n are integers and n ≠ 0. The decimal representation of an irrational number neither terminates nor repeats.
4.2 Irrational Numbers
4
October 07, 2014
Together, the set of rational and irrational numbers form the set of real numbers.
4.2 Irrational Numbers
5
October 07, 2014
Example 1: Tell whether each number is rational or irrational and explain.
a.)
b.)
c.)
4.2 Irrational Numbers
6
October 07, 2014
We will be focusing our time on radical numbers
4.2 Irrational Numbers
7
October 07, 2014
Radical Terminology
4.2 Irrational Numbers
8
October 07, 2014
Some Fun Facts About Radicalsthat you may or may not know!
You can of course have an index > 2 (as we previously saw in Unit 1)
Eg.
4.2 Irrational Numbers
9
October 07, 2014
Some Fun Facts About Radicalsthat you may or may not know!
Each square root has both a positive and negative result
Eg.
This actually goes for any even index!
4.2 Irrational Numbers
10
October 07, 2014
Some Fun Facts About Radicalsthat you may or may not know!
The radicand of a radical that has an even index must be POSITIVE.
Eg.
4.2 Irrational Numbers
11
October 07, 2014
4.2 Irrational Numbers
12
October 07, 2014
Some Fun Facts About Radicalsthat you may or may not know!
The radicand of a radical that has an odd index can be negative!
Eg.
4.2 Irrational Numbers
13
October 07, 2014
Review!Estimating Square Roots
If you do not have a calculator, you can always estimate a radical number.
Eg.
4.2 Irrational Numbers
14
October 07, 2014
You try!
4.2 Irrational Numbers
15
October 07, 2014
When an irrational number is written as a radical, the radical is the exact value of the irrational number.
= 1.414213562....
irrational numberexact value
4.2 Irrational Numbers
16
October 07, 2014
Example 2: Use a number line to order these numbers from least to greatest.
4.2 Irrational Numbers
17
October 07, 2014
p 211
#3-5, 7, 9-10, 12, 15
![[Ivan Niven] Irrational Numbers(BookFi.org)](https://img.pdfslide.net/doc/110x75/55328d634a79599f5e8b4631/ivan-niven-irrational-numbersbookfiorg.jpg)
