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Order of Operations
Mathematics, Grade 6
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Study Guide Order of Operations Mathematics, Grade 6
❮
1
/
2
❯
What
Is
Evaluating
Numerical
Expressions
Using
Order
of
Operations?
•
A
numerical
expression
is
a
phrase
which
represents
a
number:
25
increased
by
33
→
25
+
33
=
8
50
decreased
by
34
→
50
–
34
=
16
Two-thirds
of
12
→
2/3
x
12
=
8
•
Some
numerical
expressions
may
require
more
than
one
operation:
6
x
(20
–
13)
=
43
33
–
(81
÷
9)
=
18
•
Evaluating
a
numerical
expression
requires
applying
an
order
of
operations:
o
Work
from
left
to
right
o
Complete
the
operations
inside
the
parentheses
o
Simplify
all
exponents
o
Multiply
or
divide
from
left
to
right
o
Add
or
subtract
from
left
to
right
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
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How
to
evaluate
numerical
expressions
using
order
of
operations:
•
Numerical
expressions
often
require
more
than
one
step,
for
instance,
5
X
(18
÷
3).
•
Work
from
left
to
right
to
solve
a
multi-step
problem.
124
÷
4
–
15
→
31
–
15
=
16
•
Simplify
all
operations
inside
parentheses
first:
135
–
(42
x
3)
→
135
–
126
=
9
•
Working
from
left
to
right,
simplify
all
exponents,
complete
operations
inside
parentheses,
and
then
solve:
632
–
(232
+
3)
→
632
–
(529
+3)
→
632
–
532
=100
•
Clear
parentheses
and
exponents,
perform
multiplication,
and
then
division
from
left
to
right.
Lastly,
perform
addition
and
subtraction:
53
÷
(14
–
9)
–
18
→125
÷
5
–
18
→
25
–
18
=
7
Try
This!
102
x
(54
÷
9)
__________________________________________
125
-
(2
+
9)
-
4
________________________________________
(32
x
6)
÷
3
____________________________________________
56
÷
8
-9
_________________________________________
72
-
(49
÷
7)
___________________________________________
© 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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