Chapter 1
1.4: Introducing the Real Number System
Objective…
Part A: Extend the concept of Absolute Values to All Irrational Numbers
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Consider irrational numbers on a number line. | - 15 | = | 15 |
The equation is true because both numbers are equidistant to 0.
Where do 15 and - 15 fit on the number line? __________
Plot them and other key numbers on the number line.
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Part B: Decimal forms of Irrational Numbers
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Lets estimate on 2 the number line
2 is between _____ and ____ and closer to ____ .
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Decimal Estimation: ___________________________
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Use a calculator to find the decimal approximation:
________________
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Lets estimate - 30 on the number line
- 30 is between ____ and _____ and closer to ____.
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Decimal Estimation: ___________________________
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Use a calculator to find the decimal approximation:
________________
o Why do irrational numbers not have exact answers?
___________________________________________
Chapter 1
1.4: Introducing the Real Number System
Part C: Introduce the Real Number System and the Real Number Line
o The number line is made up of rational and irrational numbers.
Together, these numbers can be used to label every point on
the number line.
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Order the following rational and irrational numbers on the number
7
line: 5.69,- , p ,- 9, 3
4
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Order the following rational and irrational numbers on the number
line:
5
11
84
, 30,- , p 2 ,-2.83
13
25