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0, 1, 2, 3, 4, 5...
 Whole Numbers
- start with zero
1, 2, 3, 4, 5...
 Natural Numbers
or

 Counting Numbers
- start with one
…-3,

-2, -1, 0, 1, 2, 3…

 Integers
- include positive whole numbers,

negative whole numbers, and zero.
Integers
-5 -4 -3 -2 -1 0 1 2 3 4
Negative
Integers

5

Positive
Integers
Origin

The integer zero is neither positive or negative.
Opposite Numbers are numbers

that are the same distance from zero in
the opposite direction.
-5 -4 -3 -2 -1 0 1 2 3 4

-5 -4 -3 -2 -1 0 1

5

2 3 4 5
Absolute value of an integer is

the distance a number is from zero on a
number line.

|-5|

Two vertical bars around a number
Note: means the absolute value of the
number.
|2|

=2

-5 -4 -3 -2 -1 0 1 2

3 4

5
-5 -4 -3 -2 -1 0 1

2 3 4 5

-5 -4 -3 -2 -1 0 1

2 3 4 5
|#|

Two vertical bars
around a number
Note: means the absolute
value of the number.
4
|-4| = _____
-5 -4 -3 -2 -1 0 1

2 3 4 5

3
|3| = _____
-5 -4 -3 -2 -1 0 1

2 3 4 5
HINT:
If you don’t see a negative
or positive sign in front of a
number it is positive.

-10 +8

9
• We can represent addition of integers using
red and yellow counters.
• Red tiles will represent negative
integers, and yellow tiles will represent
positive integers.

Negative
Integer

Positive
Integer
• If there are the same number of red tiles
as yellow tiles it is equal to zero

=0
Example:
-8

+
Zero Pairs

10

2

=
- 15

12

+

Zero Pairs

-3

=
Try This!

16

8

+
Zero Pairs

-8

=

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Number Systems--INTEGERS