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Start of Unit 4 Irrational Numbers Lesson Oct 7 2014
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4.2 Irrational Numbers
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October 07, 2014
4.2 Irrational Num
bers
4.2 Irrational Numbers
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October 07, 2014
Classifying Numbers...
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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.
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Together, the set of rational and irrational numbers form the set of real numbers.
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Example 1: Tell whether each number is rational or irrational and explain.
a.)
b.)
c.)
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We will be focusing our time on radical numbers
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Radical Terminology
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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.
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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!
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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.
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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.
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Review!Estimating Square Roots
If you do not have a calculator, you can always estimate a radical number.
Eg.
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You try!
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When an irrational number is written as a radical, the radical is the exact value of the irrational number.
= 1.414213562....
irrational numberexact value
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Example 2: Use a number line to order these numbers from least to greatest.
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p 211
#3-5, 7, 9-10, 12, 15
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