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Decimal Operations
Mathematics, Grade 7
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Study Guide Decimal Operations Mathematics, Grade 7
❮
1
/
3
❯
DECIMAL
OPERATIONS
•
Decimal
operations
refer
to
the
mathematical
operations
that
can
be
performed
with
decimals:
addition,
subtraction,
multiplication
and
division.
•
The
process
for
adding,
subtracting,
multiplying
and
dividing
decimals
must
be
followed
in
order
to
achieve
the
correct
answer.
Decimals
can
be
used
in
all
operations
and
also
with
integers
in
all
operations.
Decimals
can
also
be
used
in
algebraic
equations.
•
A
typical
situation
of
an
equation
with
decimals
is
dollars
and
cents.
How
to
use
decimal
operations:
•
The
process
of
adding
and
subtracting
decimals
must
be
used
in
order
to
achieve
the
correct
answer.
When
adding
or
subtracting
decimals,
the
decimals
are
typically
placed
vertically.
•
To
add
or
subtract,
the
decimal
points
must
be
lined
up
for
all
decimals
being
added
or
subtracted.
Once
the
decimal
points
are
lined
up,
the
numbers
are
added
or
subtracted
and
then
the
decimal
point
is
brought
down
into
the
answer.
Examples:
23.825
16.325
+
.067
-
2.9
23.892
13.425
•
When
dividing
decimals
by
integers,
the
decimal
point
is
brought
up
into
the
answer
and
then
the
numbers
are
divided.
Example:
_.__
.54
3.24
÷
6
→
6
)3.24
→
6
)3.24
→
.54
30
↓
24
24
0
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
•
When
dividing
decimals
by
decimals
or
integers
by
decimals,
the
decimal
point
is
sometimes
moved,
depending
on
the
numbers
being
divided
by.
If
13.5
is
divided
by
1.5,
the
decimal
point
will
need
to
be
moved
over
in
the
divisor
and
dividend.
This
will
affect
where
the
decimal
point
is
in
the
quotient
or
answer.
If
14
is
divided
by
2.5,
the
decimal
point
again
will
have
to
be
moved
over
in
the
divisor
and
dividend
to
make
2.5
a
whole
number,
25,
and
14
to
become
140.
The
decimal
point
is
then
moved
into
the
answer
and
the
numbers
are
divided.
Example:
____
___9.
13.5
÷
1.5
→
1.5
)13.5
→
15
)135.
←
decimal
moved
1
place
135
0
•
Decimals
can
be
used
to
solve
algebraic
equations
the
same
as
integers
as
long
as
the
rules
for
adding,
subtracting,
multiplying
and
dividing
are
followed.
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Try
This!
Add
the
following:
1.59
+.
002__________
26.389
+
1.74_____________
.099
+
6.03
______________
Subtract
the
following:
14.005
-
6.7_______
3.72
-
.086______
.0956
-
.002_________
Divide
the
following:
16.75
÷
5_______
3.9
÷
3_______
240.075
÷15
______
4.2
÷
2.1_______
40.95
÷
9.1________
255
÷
5.1________
244
÷
30.5_________
Solve
for
x:
x
+
1.2
=
14.5_________
x
-
22.65
=
5.07________
$3.99x
=
$59.85_________
4.099
÷
x
=
59.85_______
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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