NEGATIVES:
By
Part
of
Section
A
WHAT IS A NEGATIVE???????
Hello, today you are going to learn the challenges and breezes of learning how to
add, subtract, multiply, and divide negatives. Let’s start; a negative is all the values to the
left of a zero on a number line. What I mean by this is any number less than zero with a
negative sign in front of it represented by this “-“ including -1,
-953, and -78. Another
thing you should know with negatives is the greater the value of the number is the closer
it is to zero, and the farther away it is, the less it is worth. Now you shall see examples of
all ways negatives work including adding, subtracting, multiplying, and dividing
negatives. GOOD LUCK FELLOW CHEROPS!!!!!!!!!!!!
TO
MULTIPLY:
.
It
is
possible
to
multiply
negative
numbers
by
other
negative
numbers,
or
by
positive
numbers.
Here
is
how
you
do
it:
When
multiplying
negative
numbers,
one
must
always
follow
the
four
rules
of
SUCCESSFUL
MULTIPLYING
WITH
NEGATIVES
(S.M.W.N.)
When
multiplying
with
negatives
the
first
thing
the
person
multiplying
has
to
do
is...Find
out
whether
the
product
will
be
negative
or
positive,
and
you
do
that
with
S.M.W.N.
RULES
OF
SUCCESFULLY
MULTIPLYING
WITH
NEGATIVES
(or
without
negatives):
1. If
you
are
multiplying
a
negative
by
a
positive
the
answer
is
always
negative
2. If
you
are
multiplying
a
positive
by
a
negative
the
answer
is
always
negative
3. If
you
are
multiplying
a
negative
by
a
negative
the
answer
is
always
positive
4. If
you
are
multiplying
a
positive
by
a
positive
the
answer
is
always
positive
(Or
instead
of
the
rules,
you
can
count
the
number
of
negative
numbers
and
there
are
an
odd
amount
of
negatives
the
product
is
negative,
if
there
are
a
even
amount,
equals
positive.)
THE
NEXT
STEP
IS
TO
…Multiply
the
absolute
values
of
the
numbers
you
are
multiplying
and
then…
All
you
have
to
do
is
add
the
sign,
which
you
determined
using
S.M.W.N.
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Negative
multiplying
is
also
possible
with
fractions.
To
multiply
negative
fractions,
the
multiplier
should
find
out
whether
the
product
will
be
negative
or
positive
(just
like
multiplying
whole
numbers).
To
do
this
the
multiplier
can
use
S.M.W.N.
After
finding
the
sign
of
the
product,
just
like
multiplying
whole
numbers,
the
multiplier
multiplies
the
absolute
values
of
the
fractions.
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Dividing with Negatives
For
me,
there
is
this
really
easy
algorithm
to
dividing
with
negatives.
There
are
only
two
steps,
so
you
will
never
ever
forget.
Ever
The
two
steps
are;
1.)
Divide
the
absolute
values
of
the
two
numbers
2.)
If
there
is
an
odd
number
of
negative
numbers,
then
the
quotient
is
Negative.
If
there
is
an
even
number
of
negatives,
then
the
number
is
even
…
...
And
if
you
can
find
an
easier
way,
pigs
will
fly!
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
Multiplying/Dividing
Negatives
Game:
You
need:
‐2
dice
‐The
MNG
game
board
‐2
game
board
pieces
(you
can
use
pawns
or
pennies)
Instructions:
Player
1
spins
the
dice.
Player1
goes
the
number
of
spaces
on
the
dice.
Player
1
has
to
come
up
with
an
equation
that
equals
the
number
on
the
space
on
the
game
board.
If
Player1
succeeds
in
the
task,
the
player’s
piece
stays
on
that
space.
If
the
player
gets
it
wrong…Player1
goes
has
to
stay
on
that
square
for
an
additional
turn.
Then
it
is
Player2’s
turn.
Whoever
gets
to
the
end
first
wins
the
game.
Note:
Every
equation
must
have
at
least
one
negative
number,
AND,
if
possible,
try
not
to
use
the
number
1
or
‐1
in
your
equation!
FIND
THE
GAME
BOARD
ON
THE
NEXT
PAGE
THE
GAME
BOARD:
Start
Here:
‐8
9
‐300
48
16
782
‐35
23
56
6
‐12
17
‐
45
76
54
21
35
‐38
‐95
‐28
‐68
‐150
‐24
2
‐63
90
‐175
142
‐366
501
302
18
‐14
538
‐60
‐11
‐3
½
86
66
463
‐19
‐50
604
‐27
222
‐930
‐
7/5
30
‐1117
46
72
‐60
13
8
‐30
‐8
‐447
54
‐37
78
‐96
The
End!
110
99
‐651
1
‐1
376
957
‐3
4
‐7
9
52
14
‐86
‐15
32
8
66
8
58
‐26
206
‐876
403
‐51
1080
6
312
‐312
‐578
46
‐100
7
‐63
‐24
460
Adding
Negative’s
Intro:
Adding
negative
number
is
the
same
thing
as
subtracting
a
positive
number.
When
you
add
negative
you
are
making
a
number
more
negative,
which
is
exactly
what
subtraction
is.
Ex.
‐5+(‐2)=
‐5‐2
Algorithm
for
adding
a
negative
+
a
negative:
Step
1:
Add
the
absolute
values
together.
Step
2:Then
add
a
negative
sign.
Ex:
‐15+(‐8)
Step
1:
15+8=
23
Step
2:
‐23
Algorithm
for
negative
+
positive:
Step
1:subtract
the
absolute
value
of
the
negative
number
out
of
the
positive
number.
Ex.
‐25+3
Step
1:
3‐25=‐2
Subtracting negatives
Subtracting negatives are just like subtracting positives, when you
subtract something from something it gets closer to zero (5-4=1) the same
is with negatives (-5- -4=-1).
When you subtract a number that is bigger than what your subtracting you
go into negative numbers, (4-5=-1). With negatives you go into positives (-4 -5 = 1)
Imagine that instead of subtracting your doing addition with positive
numbers (-4 - -5 = 1) = (-4 + 5 = 1) when subtracting a positive from a
negative ad the negative version of the positive number (-3-5=-8) = (-3+-5=8). It is the same with positives except you turn the negative into a positive.
(3- -5=8) = (3 + 5 =8
Addition
and
subtraction
game
with
negative
numbers:
The
point:
The
object
of
this
game
is
to
use
the
numbers
you
Are
provided
with
and
the
number
in
the
center
to
add
and
subtract
using
negative
and
positive
numbers.
Materials
needed:
~A
bag
to
hold
the
numbers
~The
SA
game
board
How
to
play:
1. First
all
of
the
players
take
out
of
the
bag
7
numbers
each
2. Second
they
lay
them
out
in
front
of
them
3. Third
one
player
takes
an
extra
number
from
the
bag
and
places
it
in
the
center
of
the
game
board
4. Fourth
the
first
player
comes
up
with
an
equation
that
uses
addition
and
subtraction
it
must
also
include
the
center
number.
5. Fifth
when
you
create
an
equation
the
amount
of
numbers
you
use,
grants
you
that
amount
of
points.
How
to
win:
When
the
bag
runs
out
of
numbers
whoever
has
the
most
points
wins.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Examples:
ADDITION
‐23+(‐92)=
32+(‐73)=
58+‐4=
‐101+30=
9+(‐11)=
5+(‐9)=
‐109+58.5=
21+(‐10)=
‐15+(‐8)=
‐25+3=
SUBTRACTION
‐1‐20=
20‐(‐50)=
30‐(‐22)=
‐35‐10=
‐35‐(‐52)=
‐35‐(‐15)=
‐65‐(‐5)=
23‐(‐25)=
‐352‐(‐120)=
‐5‐(‐5)=
MULPLICATION
54 • −24 = −1296
−718 • −34364 • 53.5 = 1,320,024,332
−23•18 = 414
Answer
key
€
Addition
‐115,
‐41,
54,
‐71,
‐2,
‐4,
‐50.5,
11,
‐23,
‐22,
Subtraction
‐21,
70,
52,
‐45,
17,
‐20,60,
48,
‐472,