Back
Commutative/Associative Properties
Mathematics, Grade 6
Back
Study Guide
Provides a quick overview of the topic selected!
Flash Cards
Practice and review the topic selected with illustrated flash cards!
Quiz
Assess students’ understanding of the topic selected!
Worksheets
Print illustrated worksheets!
Games
Engage students with interactive games.
Study Guide Commutative/Associative Properties Mathematics, Grade 6
❮
1
/
2
❯
What
Are
Commutative
and
Associative
Properties?
Commutative
Property:
•
The
commutative
property
allows
us
to
change
the
order
of
the
numbers
without
changing
the
outcome
of
the
problem.
•
The
order
of
the
numbers
(addends)
does
not
affect
the
sum.
Therefore,
6
+
10
=
10
+
6.The
words
commuter
and
commutative
come
from
the
same
root
word,
“commute,”
which
means
“to
exchange
for
another.”
Associative
Property:
•
The
associative
property
allows
us
to
change
the
grouping
of
the
numbers.
•
The
associative
property
refers
to
adding
or
multiplying
3
or
more
addends
or
factors.
Pairs
of
numbers
are
added
and
the
sum
is
added
to
the
third
number.
For
example,
12
+
3
+
10
can
be
solved
by
adding
12
+
3
which
equals
15
and
then
adding
15
+
10
which
equals
25.
The
same
sum
results
if
the
numbers
are
added
in
a
different
set
of
pairs,
3
+
10
=
13
and
13
+
12
=
25.
Other
examples
of
the
associative
property
include:
14
+
(5
+
24)
=
(14
+
5)
+
24
=
43
(20
+
30)
+
9
=
20
+
(30
+
9)
=
59
(3
X
6)
X
20
=
3
X
(6
X
20)
=
360
15
X
(8
X
1)
=
(15
X
8)
X
1
=
120
© 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.
•
The
associative
property
allows
us
to
choose
the
first
two
numbers
to
add
or
multiply.
Sometimes,
the
first
two
numbers
added
equal
a
sum
of
10
or
20
or
100.
This
makes
it
easier
to
add
the
third
number.
Sometimes,
the
sum
or
product
is
known
quickly
and
so
speeds
the
process
of
adding
or
multiplying
more
than
two
numbers.
•
Neither
the
commutative
property
nor
the
associative
property
can
be
applied
to
subtraction
or
division.
These
two
properties
apply
only
to
multiplication
and
addition.
How
to
figure
out
Commutative
Property
and
Associative
Property
problems:
•
When
adding
or
multiplying,
the
order
of
the
numbers
is
irrelevant.
The
same
sum
or
product
will
be
the
result,
regardless
of
the
order
of
the
numbers:
145
+
240
=
240
+
145
=
385
36
X
20
=
20
X
36
=
720
Try
This!
•
Write
another
way
to
calculate
and
solve:
41
+
65?
________________
•
Write
another
way
to
calculate
and
solve:
68
X
35
________________
•
Apply
the
associate
law
and
solve:
5
+
12
+
28
________________
•
Apply
the
distributive
law
and
solve:
12
+
50
+
23
________________
•
Apply
the
distributive
law
and
solve:
40
+
25
+
9
_________________
© 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.
© Copyright 2012-2020
NewPath Learning
. All Rights Reserved.
Privacy Notice
*
Terms of Use