Day 3_ 4.2_ Number systems.notebook
September 28, 2015
Sep 7­10:32 PM
Sep 7­10:33 PM
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Day 3_ 4.2_ Number systems.notebook
September 28, 2015
Introduction
How do these rational radicals compare
to these not rational numbers
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Day 3_ 4.2_ Number systems.notebook
1.44
= 1.2
64
81
8
= 9
September 28, 2015
3
4
5
27
= ­3
=
0.8 =0.8944...
= 2.236067....
Try This p.3
Rational numbers terminate (end) or repeat
Irrational numbers do not terminate (end) Try This p.2
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Day 3_ 4.2_ Number systems.notebook
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Key Concepts p.1 When an irrational number is written as a radical, the radical is the exact value.
Examples:
3
2
­50
exact
When we use the square root or cube root key on our calculators we are obtaining approximate value of irrational numbers.
Sep 8­8:31 PM
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Day 3_ 4.2_ Number systems.notebook
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Example 1 Solution
Natural Numbers N
Whole Numbers
Integers
W
I
Rational
Q
Irrational
Q
Real
R
Mar 20­7:21 PM
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Day 3_ 4.2_ Number systems.notebook
September 28, 2015
Natural Numbers : Ex. 1, 2, 3 etc
Whole Numbers: Counting numbers including zero. Ex. 0, 1, 2, 3, etc
Integers: Are all positive and negative whole numbers. (Remember zero is neither negative or positive) Ex: ....3,2,1,0,­1­2,­3...
Rational Numbers: All whole numbers, fractions, mixed numbers, decimals and their negatives
The decimal must repeat or terminate also.
Ex: 1/3, 4, 3/4
Irrational Numbers: Decimals that never terminate or repeat.
Ex: √2
Real Numbers: All rational and irrational numbers are real numbers
Ex: All possible numbers
Mar 20­7:44 PM
Review of Types of Number Systems
Mar 20­7:21 PM
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Day 3_ 4.2_ Number systems.notebook
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Exercise
Complete the table
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6
4
3
2
5
1
Key Concepts p.3
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Day 3_ 4.2_ Number systems.notebook
September 28, 2015
Example 2 Solution p.1
Textbook: Page 211
Questions 3, 4, 10(just use your calculator),
13, 14, 15, 17, 18ab, 20
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Day 3_ 4.2_ Number systems.notebook
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End of lesson End of lesson
1 Are these numbers rational or irrational?
A Rational
B Irrational
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Question 1
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Day 3_ 4.2_ Number systems.notebook
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Example 2 Solution p.2
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Example 2 Solution p.3
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Day 3_ 4.2_ Number systems.notebook
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CYU Question 1
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CYU Question 2
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Day 3_ 4.2_ Number systems.notebook
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Discuss the Ideas 1
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Discuss the Ideas 2
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Day 3_ 4.2_ Number systems.notebook
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Margin Question 1
13