Everything about Integers. Interesting Integers!. We can represent integers using red and yellow counters. Red tiles will represent negative integers, and yellow tiles will represent positive integers. Positive integer. Negative integer. Definition.
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Positive integer
Negative integer
6
5
4
3
2
1
0
1
2
3
4
5
6
zero pair
The absolute value of
9 or of –9 is 9.
6
Six is greater than negative one because six is at the right of negative one on the number line
>
1
6
5
4
3
2
1
0
1
2
Negative two is less than one because negative two is at the left of one on the number line
1
<
2
6
5
4
3
2
1
0
1
2
Place the symbol(<,>,=) to make
the sentence true:
9____8
3____3
0____1
12____12
5____7
<
=
>
<
>
Let’s say your parents bought a car but
had to get a loan from the bank for $5,000.
When counting all their money they add
in $5.000 to show they still owe the bank.
2 + +5 = +3
+3
2 + 3 = ?
ANSWER
= 5
+
2 + 3 = 5
using the number line
 3 + 2 =
1
Negative three means
move 3 places to the left
Positive two means
move 2 places to the right
1
2
0
3
2
1
The answer is:
1
using the number line
8  3 =
5
Positive eight means
move 8 places to the right
Negative three means
move 3 places to the left
4
5
6
3
1
7
8
2
8
0
7
5
6
1
2
3
The answer is:
5
+3  +5 = ?
+3
+3
We can’t take away 5 yellow tiles from this diagram. There is not enough tiles to take away!!
2  4 = ?
ANSWER
Now you can take away 4 red tiles.
2 yellow tiles are left, so the answer is…
This representation of 2 doesn’t have enough tiles to take away 4.
Now if you add 2 more reds tiles and 2 more yellow tiles (adding zero) you would have a total of 4 red tiles and the tiles still represent 2.
2  4 = +2
+3  5 = +8
3  +2 = 5
2
3
1
1
4
0
8
11
7
13
14
18
In order to subtract two integers, you would need to rewrite the problem as an addition problem.
Keep in mind that subtract means add the opposite.


2
2
(5)
5
=
=
5
+
TMethod
SUBTRACTING INTEGERS rewrite the problem as an addition problem.
6
1
5
1
3
8