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INTRODUCTION TO INTEGERS
• Integers are positive and negative numbers.
• …, -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5,
+6, …
• Each negative number is paired with a positive
number the same distance from 0 on a number
line.
-3 -2 -1
0
1 2
3
When the signs are
different, subtract the
numbers and the
answer is the sign of
the bigger number
10  4  6
When the signs
are the same, add
the numbers and
the answer is the
same sign.
 7  4  11
When the signs are
different, subtract the
numbers and the answer
is the sign of the bigger
number
10  4  6
When the signs are
the same, add the
numbers and the
answer is the same
sign.
 7  4  11
1.
7  5
different signs
2
subtract
2.
8  5
different signs
3
subtract
3.
2  9
different signs
-7
subtract
4.
 3  11
different signs
8
subtract
5.
 8  12
same signs
-20
add
6.
15  7
same signs
-22
add
7.
 9  3
same signs
-12
add
8.
 1  6
add
same signs
-7
9. If a black circle represents the number
positive one and a white circle represents
the number negative one, what is the value
of the set?
10. If a black circle represents the number positive one
and a white circle represents the number negative
one, Which diagram represents the number +5?
A)
B)
C)
D)
1.
2.
3.
4.
5.
6.
14  9  -5
 23  5  -28
47  5  42
 50  10  -60
 25  1  -26
35  9  26
Name____________________________
1)
Date________________
In this set of chips, each black chip has a
value of –1, and each white chip has a
value of 1. What is the value of the set?
a) -4
b) -2
c) 2
8)
Which expression is represented by the model below?
d) 4
a) -5 + 0
2)
In this set of chips, each black chip has a
value of –1, and each white chip has a
value of 1. What is the value of the set?
a) -4
3)
4)
b) -2
c) 3
Integer Quiz
9)
d) -1
 6  8  ______
 7  2  ______
b) -5 + 8
c) -5 + 3
If a black circle represents the umber positive one
and a white circle represents the number negative
one, which diagram represents the number –4?
a)
c)
b)
d)
10) If a black circle represents the umber positive one
5)
 15  5  ______
6)
6  (10)  ______
a)
c)
7)
Which expression is represented by the model below?
b)
d)
and a white circle represents the number negative
one, which diagram represents the number –4?
BONUS—5 points
a) -7 + 0
b) -7 + 3
d) -5 + 4
c) -7 + 7
d) -7 + 10
( 112 )  ( 412)
7
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