This document provides instructions for comparing decimals, multiplying decimals, and dividing decimals. It explains that when comparing decimals, you should line up the decimal points and compare place values from right to left. It also outlines the steps for multiplying decimals, which include ignoring the decimal points, counting total decimal places, and placing the decimal point in the product based on the number of decimal places. For dividing decimals, it describes how to handle situations when the decimal is in the dividend or divisor, such as moving decimal points and placing the decimal point in the quotient above the dividend's decimal point.

1. RULES
FOR
COMPARING
DECIMALS
WITH
NO
WHOLE
NUMBERS
(So
you
can
know
which
one
is
larger)
1.
LINE
UP
the
decimal
points
and
give
the
decimals
the
same
number
of
places.
(You
can
put
zeros
to
the
right
of
a
decimal
without
changing
its
value.)
2.
Compare
each
number
from
the
decimal
to
the
right
(Place
Value
Chart)
deciding
which
decimal
is
larger.
3.
A
WHOLE
NUMBER
(a
number
with
no
decimals)
is
ALWAYS
LARGER
than
a
number
with
decimals.
MATH
TERMS
Sum-­‐-­‐the
answer
to
an
addition
problem
Difference-­‐-­‐the
answer
to
a
subtraction
problem
Product-­‐-­‐the
answer
to
a
multiplication
problem
Quotient-­‐-­‐the
answer
to
a
division
problem
DECIMAL
POINT
RULES
TO
MULTIPLY
A
DECIMAL
NUMBER
BY
A
WHOLE
NUMBER
OR
BY
ANOTHER
DECIMAL
NUMBER.
1.
LINE
UP
THE
FACTORS
TO
THE
RIGHT
SIDE
for
easy
multiplication
and
a
more
organized
look,
so
you
won't
get
confused.
2.
DO
NOT
WORRY
FOR
LIGNING
UP
THE
DECIMAL
PONT...
in
multiplication
it
is
not
necessary.
3.
IGNORE
the
decimal
points
and
multiply
the
digits
until
you
get
the
final
product.
4.
When
you
FINISH,
COUNT
THE
TOTAL
NUMBER
OF
DECIMAL
PLACES
in
both
decimal
numbers
being
multiplied
(remember
the
decimal
places
are
to
the
right
of
the
decimal
point)
and...
5.
Counting
from
RIGHT
to
LEFT,
PLACE
A
DECIMAL
POINT
in
the
answer,
so
that
is
THE
SAME
NUMBER
OF
DECIMAL
PLACES
in
the
two
numbers
being
multiplied.
Use
zeros
to
the
left
if
you
need
more.
Example:
STEPS
FOR
DIVISION...JUST
A
REMINDER
1.
Estimate
(or
divide)
2.
Multiply
3.
Subtract
4.
Bring
down
the
next
number
5.
Repeat
this
process.
When
you
reach
the
end
if
you
have
a
number
left,
it's
the
remainder.
TIP
1...
The
number
of
digits
the
DIVISOR
has
(number
outside
the
"house"
or
division
box)
tells
you
where
the
first
digit
of
the
quotient
has
to
be
placed
(this
means,
where
to
write
the
first
number
of
your
answer
on
top
of
the
"house"
or
division
box).
Ex:
If
the
DIVISOR
has
one
digit...
answer
on
top
of
the
first
digit
that's
inside
the
"house"
or
division
box
(Dividend).
If
the
Divisor
has
two
digits...
answer
on
top
of
the
second
digit
that's
inside
the
"house"
or
division
box
(Dividend).
If
the
Divisor
has
three
digits...
answer
on
top
of
the
third
digit
that's
inside
the
"house"
or
division
box
(Dividend)....
and
so
on...
TIP
2...
Dividend ÷ Divisor = Quotient
Example.
Using
the
division
box,
write
1
÷
5.
(There
is
nothing
to
calculate.)
Answer.
5
is
the
divisor.
It
goes
outside
the
box.
DO
NOT
EVER
CHANGE
THE
ORDER
to
solve
it!!!!
TIP
3...
When
de
DIVIDEND
IS
SMALLER
THAN
THE
DIVISOR,
then
your
answer
(QUOTIENT)
has
to
begin
with
a
zero
and
a
decimal
point.
The
decimal
point
will
allow
you
to
bring
down
zeros,
so
you
can
make
a
bigger
dividend
and
continue
with
the
division.
Example:
TIP
4...
Divide
90÷9000
10÷1000
5÷500

2.
TO
DIVIDE
A
DECIMAL
NUMBER
BY
A
WHOLE
NUMBER
(The
decimal
is
just
only
inside
the
house...
this
means
in
the
DIVIDEND)
1.
Put
the
point
in
the
quotient
DIRECTLY
ABOVE
its
position
in
the
dividend.
2.
Divide
as
you
would
for
whole
numbers.
Example:
TO
DIVIDE
A
NUMBER
(DECIMAL
OR
WHOLE)
BY
A
DECIMAL
(the
decimal
is
OUTSIDE
the
house...
this
means
in
the
DIVISOR)
1.
MAKE
THE
DIVISOR
A
WHOLE
NUMBER
by
MOVING
THE
POINT
TO
THE
RIGHT
as
far
as
it
will
go.
2.
MOVE
THE
POINT
IN
THE
DIVIDEND
TO
THE
RIGHT,
THE
SAME
NUMBER
OF
PLACES
you
moved
the
point
in
the
divisor.
You
may
need
to
add
zeros
to
the
dividend.
NOTE:
If
the
dividend
is
a
whole
number
(a
number
with
no
decimals)
REMEMBER
that
those
numbers...
YES!!!
THEY
DO
HAVE
the
decimal
point
AT
THE
END
(after
the
number),
so
you
will
have
to
move
this
point
also
to
the
right
the
same
number
of
places
you
moved
the
point
in
the
divisor,
adding
ZEROS.
3.
Bring
the
point
up
in
the
quotient
DIRECTLY
ABOVE
ITS
NEW
POSITION
in
the
dividend.
4.
Divide
as
usual.
Example:
RULES
FOR
ADDING
DECIMALS
1.
LINE
UP
the
decimals
with
POINT
UNDER
POINT.
2.
Add
each
column
and
bring
the
decimal
point
straight
down
into
each
answer.
Carry
if
necessary.
You
can
carry
to
the
left
of
the
decimal
point.
3.
REMEMBER
that
a
WHOLE
NUMBER
(a
number
with
no
decimals)
always
has
the
DECIMAL
POINT
AAT
THE
END
(after
the
number).
If
you
need
to
write
do
it,
so
you
won't
get
confused
when
aligning.
Ex:
595
595.
IF
YOU
DO
NOT
LINE
UP
THE
DECIMALS
THE
ANSWER
WILL
BE
INCORRECT.
Example:
RULES
FOR
SUBTRACTING
DECIMALS
1.
Decide
which
number
is
larger
(to
write
it
on
top)
2.
LINE
UP
the
decimals
with
POINT
UNDER
POINT
(Again...
be
sure
to
put
the
larger
number
on
top)
3.
USE
ZEROS
to
give
each
number
the
same
number
of
decimal
places.
4.
Subtract,
borrowing
if
necessary.
5.
Bring
the
decimal
point
straight
down
to
the
answer.
IF
YOU
DO
NOT
LINE
UP
THE
DECIMALS
THE
ANSWER
WILL
BE
INCORRECT.
Example:
I
WILL
LEARN
ALL
THIS
RULES!!
Signature
________________________