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Cornell Notes for P.1
1. What are real numbers?
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2. What are rational numbers?
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3. What are irrational numbers?
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4. What is the real number
line?
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5. What does nonnegative
mean?
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6. What is one-to-one
correspondence?
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7. What is the definition of
order on the real number
line?
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8. How do I describe the
subset of real numbers
represented by
a) x ≤ 2 b) -2 ≤ x < 3 ?
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9. What are bounded intervals?
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10. What are open intervals?
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11. What are closed intervals?
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12. What are unbounded
intervals?
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13. How do I use inequality
notation to describe each of
the following?
a) c is at most 2
b) m is at least -3
c) All x in the interval (-3, 5]
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14. How do I give a verbal
description of each interval?
a) (-1, 0)
b) [2, 00)
c) (-00, 0)
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15. What does the Law of
Trichotomy state?
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16. What does absolute value
mean?
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x
17. How do I evaluate
for
x
a) x > 0 and b) x < 0?
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18. What are Properties of
Absolute Value?
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19. What is the Distance
Between Two Points on the
Real Line?
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20. What are variables?
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21. What are algebraic
expressions?
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22. What are terms of
algebraic expressions?
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23. What is a constant term?
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24. What is a coefficient?
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25. What does evaluate mean?
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26. What is the Substitution
Principle?
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27. What are some verbal
statements that describe
each property of the Basic
Rules of Algebra?
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28. How could I summarize the
Properties of Negation?
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29. How could I summarize the
Properties of Equality?
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30. What are the Properties of
Zero?
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31. How could I summarize the
Properties and Operations
of Fractions?
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32. What are factors, prime
numbers, and composite
numbers?
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33. What is the Fundamental
Theorem of Arithmetic?
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Summarize:
1) How do we represent and
classify real numbers?
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2) How do we order real
numbers and use
inequalities?
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3) How do we find the absolute
values of real numbers and
find the distance between
two real numbers?
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4) How do we evaluate algebraic
expressions?
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5) How do we use the basic
rules and properties of
algebra?
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