o
Lathrop Intermediate School
Santa Ana
o
Order of Operation
and
Distributive Property
Name:
v
Period:
Date:
i
Multiplication
3o7
Problem
Expressionwith addition only
4o5
Problem
I
Expression with addition only
O S. I
@ S. Mercer - Order of Operations
-
page - 1
U
7 +3 o 4
Problem
Expression with addition only
3+ 2 o 5
Problem
Expression with addition only
@ S. Mercer - Order of OPerations
page - 2
fc4+2
Problem
*t't
Can you think
ofa shortcut
to solve this
problems?
Expression with addition onlY
10 + 6.2
Problem
Can you think
ofa shortcut
to solve this
problems?
Expressionwith addition onlY
\z
I
os.
@ S. Mercer - Order of OPerations
page - 3
Representation
3+Qo8+2
Problem
.Q't
Can you think
ofa shortcut
to solve this
problems?
Expression with addition only
lc 6 + 4.'4
Problem
I
Can you think
ofa shortcut
to solvethis
problems?
Expressionwith addition only
@ S. Mercer - Order of Operations
page - 4
5+lo4+1
Froblem
Can you think
ofa shortcut
to solve this
problems?
Expression with addition onlY
{o 1+5ol
Problem
*t'=
Can you think
ofa shortcut
to solvethis
problems?
Expressionwith addition onlY
os.
@ S. Mercer - Order of OPerations
J
page - 5
o
Representation
In words
10.
/f:.+,"fril#\
|
e
Expression with addition only
Answer
In words
Representation
$o2t
n'ottu''!-/
\--.-
'*,',":;:n*Gr
\-
V
r
f,esolvethis
\__.___otoot"j5/
v
Expressionwith addition only
@ S. Mercer - Order of OPerations
Answer
page - 6
2(3+1)
Froblem
Expressionwith addition onlY
4(2+3)
Expressionwith addition onlY
o s' I
@ S. Mercer - order of operations
I
3(3 +2) +6
Can you thinlk
ofa shortcut
to solve this
problems?
Expression with addition onlY
6+4 (1 +1)
Problem
*si
Can you think
ofa shortcut
to solvethis
problems?
Expressionwith addition onlY
I
@ S. Mercer - Order of OPerations
page - 8
Io2+2(6
+2\
Can you think
of a shortcut
to solve this
problems?
-.tt'=
Expressionwith addition onlY
7(4+1)+4o$
*t'=
Can you think
ofa shortcut
to solve this
Expression with addition onlY
os..
page - 9
@ S. Mercer - Order of OPerations
$ o 2.4
Problem
Can you think
ofa shortcut
to solve this
problems?
Expression with addition only
$o2.3'
Problem
I
Can you think
of a shortcut
to solve this
problems?
Expressionwith addition only
@ S. Mercer - Order of OPerations
page- 10
$o3'3
Problem
Canyouthink
of a shortcut
to solve this
with addition onlY
E:<pression
4+$o2'5
Problem
*t'=
Can youthink
of a shortcut
to solve this
Erpressionwith addition onlY
o s..
page - 11
@ S. Mercer - Order of OPerations
52
Problem
Expressionwith addition only
32
Problem
C)
Expressionwith addition only
@ S. Mercer - Order of OPerations
page - 12
42 + 10
Problem
Can you think
ofa shortcut
to solvethis
problems?
Expressionwith addition onIY
32+3o5
Problem
Can you think
of a shortcut
to solve this
with addition onlY
E>rpression
os..
@ S. Mercer - Order of OPerations
page - 13
1+62+2.3
*s-t
Can you think
ofa shortcut
to solve this
problems?
Expressionwith addition only
22+3 (3 + 1)
*s-'
Can you think
of a shortcut
to solve this
problems?
v
Expressionwith addition onlY
@ S. Mercer - Order of OPerations
page- 14
3+ 42+32
Expression with addition onlY
52+3 (4+7)
Expressionwith addition onlY
os.
page - 15
@ S. Mercer - Order of OPerations
-
(3+42
Froblem
Can you think
of a shortcut
to solvethis
Expressionwith addition onlY
t
(2+1\2+5
Problem
v
Canyou think
ofa shortcut
to solvethis
Expressionwith addition onlY
page - 16
@ S. Mercer ' Order of OPerations
Expressionwith addition onlY
Expressionwithout Parenthesis
2p+5
Expression
with addition onlY
E>rpression
os..
@ S. Mercer - Order of OPerations
Expressionwithout Parenthesis
3(h + 4)
Expressionwith addition onlY
Expressionwithout parenthesis
2(a+ b)
Expression
v
Expression with addition onlY
@ S. Mercer - Order of OPerations
Expressionwithout parenthesis
page - 18
4(3+t)
Expression
E:rpressionwith addition onlY
Expression without Parenthesis
2(a+ 2b)
Expression
with addition onlY
E>rpression
os..
@ S. Mercer ' Order of OPerations
Expression without Parenthesis
3+ 4(3+2x)
E:cpressionwith addition onlY
Expressionwithout parenthesis
5(2a+2b+c)
Expressionwith addition onlY
@S. Mercer - Order of OPerations
Expression without parenthesis
page - 20
3(a+b)+ 2(3+2x)
Expressionwith addition onlY
Expressionwithout Parenthesis
5(a+4b+c)+ 4
Expression with addition onlY
s.
@ S. Mercer - Order of OPerations
Expressionwithout Parenthesis
In words
Sabrinahasthreenickelsandsix
dimes. How much moneydoes
Sabrinahave?
Expressionwith addition only
In words
Sabrinahasfour nickels,two
quartersandthreepennies.
Howmuch moneydoes
Sabrinahave?
Enpressionwith addition only
@ S. Mercer - Order of Operations
page - 22
In words
Sabrinahas seveneggsin her
refrigerator.She buys threemore
dozenseggs. How manyeggs
doesshe have?
Can you think
ofa shortcut
to solvethis
problems?
Expressionwith addition only
In words
Sabrinahas threeboxesof crayons
with eightcrayonsin eachbox.
Shebuys six more boxeswith ten
crayonsin eachbox. Howmany
crayonsdoesshe have?
Can you think
of a shortcut
to solve this
problems?
E:rpression with addition only
@ S. Mercer - Order of Operations
page - 23
Subtraction
12-5
Problem
Expressionwith addition and./or
subtraction onlY
10 - I
Problem
Expressionwith addition
and/or subtraction onlY
I S. Mercer - Order of OPerations
page - 24
lo 3 - 5
Problem
Expression with addition and/or
subtraction onlY.
10 - 2'4
Froblem
Expressionwith addition and/or
subtraction onlY.
o s..
page -25
@ S. Mercer - Order of OPerations
'/o2-5.2
Problem
Can you think
ofa shortcut
to solve this
Expression with addition and/or
subtraction only.
$o3- 4.4
Problem
Can you think
ofa shortcut
to solve this
Expressionwith addition and/or
subtraction onlY.
\/
O S. Mercer - Order of OPerations
page - 26
2(7-3)
Problem
Expressionwith addition and/or
subtraction only.
4(9-41
Problem
Expressionwith addition and/or
subtraction only.
rS.
@ S. Mercer - Order of OPerations
page-27
Word Problems
a.)
-
In words
Sabrinahas six dimesandten
quarters.She spendsfiftv cents.
Howmuchmonily does S-abrina
haveleft?
Expression with addition and/or
subtraction only.
In words
Sabrinahasten nickels,onequarter
andten dimes. Shespends75
cents. How much monevdoes
Sabrinahaveleft?
Expressionwith addition and/or
subtraction only.
O S. Mercer - Order of Operations
page - 28
Inwords
Sabrinahadsix boxesof crayons,
with eightcrayonsin eachbox.
She lost ten crayons. How many
crayonsdoesshe haveleft?
Expression with addition arrd/or
subtraction only.
In words
Sabrinaboughttwo dozeneggs
and useseighteggsto makean
omelette.How manyeggs does
she haveleft?
Expressionwith addition and/or
subtraction only.
@ S. Mercer - Order of Operations
page- 29
lo
In words
Sabrinahas 10 cansof soda.
Shebuysseven6-packsof soda.
Shedrinkstwo sodas. How many
sodasdoes she haveleft?
Expressionwith addition and/or
subtraction only.
Irr words
Sabrinahasfive dozenpens. She
gives awaytwo dozento her
friends. Howmanypensdoesshe
have left?
v
Expressionwith addition and/or
subtraction only.
I S. Mercer - Order of Operations
page - 30
Inwords
Sabrinahas 20 cookies. She
sharesthemequallybetweenher 4
bestfriendsand herself. Mariahas
sevencookiesand adds this to her
shareof the 20 cookies. How
manycookiesdoes Mariahave?
In words
Seanhas32 crayonsand he shares
themequallybetweenhis 3 friends
andhimself.Duncanloses2
crayonsof his share. How many
crayonsdoes Duncanhaveleft?
Expression
@ S. Mercer - Order of Operations
page- 31
ls
In words
Duncanhas 28 comic books,he
sharesthemwith his 3 bestfriends
andhimself.Sean,one of
Duncan'sfriends,has 5 comic
bookshe got for his birthday. How
manycomi_cbooks does Seanhave
In words
Sabrinahas 90 centsin dimes. She
spendsfour dimeson candy. How
manydimesdoesshe haveleft?
O S. Mercer - Order of Operations
page - 32
In words
Duncanhas 15 cookies and he eats
5. He shares what is left with his
best friend. How rnanYcookies
does each one get?
In words
Duncanhas 10 Piecesof candYand
he buys38 morePiecesof_c-andY.
Hesh'aresthe candYwith 5 friends
andhimself.HowmanYPiecesof
candydoeseachone get?
@ S. Mercer - Order of OPerations
page - 33
Summary
Compare and Contrast
IIow are these problems the same? How are they different?
4.3+5
2.3+4.5.
4.(3+5
2.(3+4.5)
le\
I
"
I
- orderof operations
t Mercer
page- 34
Evaluatethe Expressions
using a Representation
l0+3.4
ten
plus
threegroupsof four
Evaluate
the Expressions
withoutthe Representations
10+3.4
I0+12
22
Ordertheexpfession
wasevaluated
l) multiplication
2) addition
10@@@
10+4 +4+4=22
5+3(2+l)
five
plus
threegroupsof two plus one
s@@@
5+3(2+l)
l) parenthesis
5+3.3
2) multiplication
3) addition
5+9
L4
5+3+3+3=14
2+5.1
6+3 (a+2)
@ S. Mercer - Order of Operations
2+5.1
6+3 (
+2)
page - 35
r^l
DUmmary
v
the Expressions
Evaluate
usinga Representation
Evaluatethe Expressions
without the Representation
Steps
3+4.5
3+4.5
4.3+2.5
4.3+2.5
7+3.5+6
7+3.-5+6
v
v
@ s .Mercer
- Order of OPerations
page - 36
uummarv
d
the Expressions
Evaluate
usinga Representation
3 ( 6 + 1)
9 + 4 ( 2 + 3)
2(1+4)+4(2+3)
os.
@ S. Mercer - Order of OPerations
the Expressions
Evaluate
withoutthe Representation
3 ( 6 + 1)
9+4(2+3)
2(1+4)+a(2+3)
page - 37
I
Based on what you have learned during this unit, solve the following
problems:
1)
4o2+6
2)
7+3o5
3)
4+3r6+5
4)
4oB+5o2
5)
4(2+3)
6)
10+3(4-1)
7)
4o5oB
8)
5+2 o 3 o 10
9)
42+ 2(3+5)
10) 6o4-
$o 5
t
@S. Mercer - Ortlen of Operations
page - 38
lr'\|
DUmmarY
Provide three different examples of the distributive property.
c@ S. Mercer - Order of Operations
page - 39