Download DIVIDING INTEGERS

DIVIDING INTEGERS
IN
ALGEBRA COUNTY
5 DIVIDED BY 6
CAN BE WRITTEN:
56
6 5
5
6
5 DIVIDED BY 6
5
6
What does division
mean?
12
6
could mean 12 m&m’s
divided among six people.
Each person has a dixie
cup.
12
6
12
6
12
6
12
6
12
6
 2 each
6
4
could mean 6 m&m’s
divided among four
people. Each person has a
dixie cup.
6
4
6
4
6
4
1
 1 each
2
DIVISION RULES
FOR NEGATIVE
NUMBERS
ARE THE SAME
AS FOR
MULTIPLICATION
Therefore:
Positive positive
 =
Positive negative
 =
Negative positive
 =
Negative negative
 =
+
-
+
The number 1 is very
important in Algebra County:
5
1
5
4
 -1
4
Write these in your notes:
14
1.
 7
2
25
2.
 5
5
7
3.
 1
7
“Subtracting” Integers
In
Algebra County
In Algebra County, we don’t actually subtract. We
think of the minus sign as a negative.
3 -5
We can circle the number
with its sign.
We have 3 and negative 5
-4 - 5
-1 + 3
7 - 2
Negative 4 and
-9
negative 5
Negative 1
2
and 3
7 and
5
negative 2
Remember how we put a “1” in
places where it is understood to
be?
3 - 1(- 5)
3 and negative 1 times negative 5
-4 -1(-
Neg 4 and neg 1 times
5) neg 5
-1 -1(- 3)
Neg 1 and neg 1 times
neg 3
7 -1(- 2)
7 and neg 1 times
neg 2
Write these in your notes:
We
multiply
before
adding
-4 -1(- 5)
-4 + 5
The
answer
is:
1
Negative
times
negative
is positive.
We
multiply
before
adding
-1 -1(- 3)
-1 + 3
The
answer
is:
2
Negative
times
negative
is positive.
We
multiply
before
adding
7 -1(- 2)
7 + 2
The
answer
is:
9
Negative
times
negative
is positive.
We
multiply
before
adding
-3 -1(- 1)
-3 + 1
The
answer
is:
-2
Negative
times
negative
is positive.
Now you have
learned how to
“subtract”
Without subtracting
This is a symbol used in math. It shows that a
number is definitely positive and is called the
absolute value symbol.
We put numbers or variables inside the lines.
3
=
3
The answer is 3 because the absolute value of
anything is positive.
Even if we have a negative inside the absolute
value sign:
3 = 3
The answer is 3 because the absolute value of
anything is positive.
Here’s
an
example:
57
2
=
=
We add the
numbers inside
first.
2
The End