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Chapter 1: Number Systems
Lesson 1-1: Integers
* A number is really an _________.
Date_____________
p.2 - 10
REAL
__________
___________
__________
__________
__________
Counting or
Natural Numbers - __________________________________________
* Every counting number has a successor that is one more than that
number.
Whole Numbers - ___________________________________________
Integers - _________________________________________________
Rational - _________________________________________________
Irrational - ________________________________________________
Date_____________
SETS
Set – A collection of distinct _________ or ___________.
Three types of sets:
1. Finite – Set of ________ or ___________ that can be
counted.
2. Infinite – Set of ________ that cannot be counted. There is
no end.
3. Empty/Null – set with ____ elements.
Ex 1| Name each set for the following examples
a. {0,1,2,3,4,5,6,7,8,9}
___________
b. { }
___________
d. {…,-1, -1/4, -1/8, 0, .75, 2, …} e. {2}
___________
___________
c. {Whole Numbers}
_____________
f. {1, 2, 3, …, 100}
_____________
Subset – A set within a set.
Ex 2| Given the set {0,1,2,3,4,5,6,7,8,9} form a subset.
______________
Ex 3| Given the set {…,-1, -1/4, -1/8, 0, .75, 2, …} form a subset.
______________
Ex 4| Given the set {1, 2, 3, …, 100} form a subset. ______________
Date_____________
NUMERICAL EXPRESSIONS
Numerical Expressions – A way of _________ a number in ___________.
Ex 5| 6 + 6
Ex 6|
Ex 7|
Ex 8|
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ORDERING INTEGERS
Ex 9| Put the following integers on the given number line, then order from
least to greatest.
(2, 5/2, -4, 9, -5, -4/2)
10
0
-10
Date_____________
ABSOLUTE VALUE
Absolute Value – the __________ a number is from ________.
The absolute value is ALWAYS and forever __________.
 The absolute value of a positive number is ___________.
 The absolute value of a negative number is ___________.
Ex 10| |3| = ____
Ex 11| |-4.3| = ____
Ex 12| |0| = ___
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SYMBOLS OF INEQUALITY
Symbol
>
<
≥
≤
≠
Example
9
2
9
2
9
>
<
≥
≤
≠
2
Read
9 is _________________ ___________ 2.
9
2 is _________________ ___________ 9.
2
9 is _________________ ___________ 2.
9
2 is _________________ ___________ 9.
2
9 is _________________ ___________ 2.
Ex 13| Write three truth statements for each of the following:
8 and 3
HW: p.9-10/3-56 4’s
4 and 5