Multiplication Properties and Division Rules

Chapter 4
Name: ___________________________________ Date: _________________
Multiplication Properties and Division Rules
Multiplication
and Division
HW 4.1
Practice to review… I can use properties and rules to multiply and divide!
Property of One
Zero Property
The product of any number and one
The product of any number and zero
is __________________ .
is __________________ .
I can use the Property of One and Zero Property to understand Division Rules with one and zero.
I know 5 ÷ 1 = _____
I know 0 ÷ 5 = _____
I know 5 ÷ 0 = _____
because I know 1 × _____ = 5
because I know 5 × _____ = 0
because I know 0 × _____ = 5
The Associative Property of Multiplication
The Commutative Property of Multiplication
I can change the way factors are __________________
I can change the __________________ of factors
without changing the __________________ .
without changing the __________________ .
5 × 2 × 3 in more than one way. Parentheses, ______, show me what to solve first.
I can solve 5 × 2 first.
I can solve 2 × 3 first.
I can solve 5 × 3 first.
I can find the product of
€
€
(5 × 2) × 3 =
€
×3=
€
5 × (2 × 3) = 5 ×
=
(5 × 3) × 2 =
×2=
Practice to remember…
Use mental math, properties of multiplication, and rules of division. Complete each equation.
If there is no solution, show€how you know.
€
1.
0 ÷ 71 = _____
2.
61 × 0 = _____
3.
_____ ÷ 23 = 1
4.
_____ × 9 = 9
5.
8 ÷ 0 = _____
6.
29 ÷ _____= 29
7.
6 × 5 = 5 × _____
8.
(3 × 7) × 2 = 7 × ( _____ ) × 2
9.
3 × 6 × 1 = _____ × 3 × 1
10.
( _____ ) × 2 × 9 = (9 × 2) × 5
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Practice to remember, continued…
RE 4.1
Solve. Use pictures, numbers, or words to explain your thinking.
11. Jenna gave one sticker to every classmate. She has
give out? Show how you know.
20 classmates. How many stickers did she
Remembering
Practice for fluency…
What is the correct way to write each number in standard form?
12.
241 thousand, 389
a. 241.389
b. 20,041,389
c. 241,000,389
d. 241,389
13.
90,000 + 7,000 + 600 + 2
a. 9,762
b. 97,602
c. 907,602
d. 976,002
16.
2,999 + _____= 5,320
17.
_____= 4,000 − 335
Find each missing value.
14.
7,004 − 2,840= _____
15. $100
− $81= _____
Solve. Use pictures, numbers, or words to show how you know.
18. Brianna picked apples at Shelburne Orchards. She picked
17 macintosh apples, 49 golden
delicious apples, and 83 red delicious apples. How many apples did she pick? Show how you
know.
19. There are
112 books on the shelves and 28 books on the floor in Mr. Petrick’s office. How
many books are there in Mr. Petrick’s office? Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Relate Multiplication and Division
76274-R-04-L1-L9
74-R-04-L1-L9
76274-R-04-L1-L9
2/12/03
2/12/03
2/12/03
10:06
10:06
10:06
AM AM
Page
AM
Page
Page
2 2 2
HW 4.2
Practice to review… I can use what I know about multiplication to divide!
I can model 18 ÷ 6 with an array.
Date
Date
Date
Reteach
Reteach
Reteach
I can make rows of4.2
64.2
. 4.2
I can
make
6 equal rows.
Relate
Relate
Relate
Multiplication
Multiplication
Multiplication
and
and
and
Division
Division
Division
(6 equal columns).
Name
Name
Name
Find
Find
Find
1818
!
18
!
6.!
6.6.
Can
Can
Can
you
you
you
think
think
think
how
how
how
many
many
many
groups
groups
groups
of of
6of
are
66
are
are
in in
18?
in
18?
18?
!!
!!
!
6!
"
66
"
18
"
1818 3 !
33
!
6!
"
66
"
18
"
1818
When I arrange 18 into 6 equal rows,
When I arrange 18 into rows of 6,
There
There
There
are
are
3
are
groups
33
groups
groups
ofinof
6each
of
in
66
in
18.
in
18.
18.
there
are
_____
row.
there are _____ rows.
So,
So,
18
So,
18
#18
#
6#
"
66
"
3."
3.3.
These
models
help
me think
about athat
fact
family
for
the
numbers
3the
, the
6,numbers
and
18.3,3,6,3,6,6,
The
The
The
multiplication
multiplication
multiplication
and
and
and
division
division
division
equations
equations
equations
that
that
can
can
can
bebe
written
be
written
written
using
using
using
the
numbers
numbers
and
and
and
1818
form
18
form
form
a fact
aa
fact
fact
family.
family.
family.
_____
×
6!
66
!
3!
"
33
"
18
"
18
18 1818
#
18
#
6_____
#
"
66
"
3"
3 3=
_____
_____ ÷ _____ = _____
_____ × _____ = _____
_____ ÷ _____ = _____
3!
33
!
6!
"
66
"
18
"
1818 1818
#
18
#
3#
"
33
"
6"
66
Practice
to
remember…
Write
Write
Write
the
the
the
fact
fact
fact
family
family
family
forfor
each
for
each
each
array
array
array
oror
set
or
set
set
ofof
numbers.
of
numbers.
numbers.
Write the fact family for each array or set of numbers.
1. 1. 1. 1.
55"
5""
33#
3##
15
15
15
______________________
33"
3""
55#
5##
15
15
15
______________________
15
15
15
!!!
33#
3##
555
______________________
15
15
!!!
55#
5##
333
5,15
7,
35
______________________
4.
______________________
5,4.5,
7,5,7,
35
7,3535
4. 4.
55"
5""
77#
7##
35
35
35
______________________
77"
7""
55#
5##
35
35
35
______________________
35
35
35
!!!
77#
7#2013
#
555
© Lincoln
Public
Schools,
______________________
2.
2.2. 2.
3. 3.
3.3.
2______________________
2"
2""
77#
7##
14
14
14
______________________
77"
7""
22#
2##
14
14
14
______________________
14
14
14
!!!
22#
2##
777
______________________
14
!!
77#
7##
222
5. 14
3,14
7,!
21
55______________________
"
5""
44#
4##
20
20
20
______________________
44"
4""
55#
5##
20
20
20
______________________
20
20
20
!!!
44#
4##
555
______________________
20
!!
!
55#
5##
444
6.20
4,20
4,
16
______________________
5. 5.3,
5.
3,
7,3,7,
21
7,2121
______________________
6. 6.7,
6.7,
8,
7,8,56
8,5656
3______________________
3"
3""
77#
7##
21
21
21
______________________
7______________________
7"
7""
33#
3##
21
21
21
21
21
21
!!!
33#
3##
777
77______________________
"
7""
88#
8##
56
56
56
______________________
88______________________
"
8""
77#
7##
56
56
56
56
56
56
!!!
77#
7#4#
8Grade
88 Math
th
Chapter 4
Name: ___________________________________ Date: _________________
Remembering
Multiplication
and Division
RE 4.2
Practice for fluency…
7.
Which is in order from least to greatest?
8.
Which is in order from greatest to least?
a.
112,342
112,324
112,432
a.
1,980,452
1,890,452
1,098,452
b.
112,324
112,342
112,432
b.
1,098,452
1,890,452
1,980,452
c.
112,432
112,342
112,324
c.
1,890,452
1,980,452
1,098,452
d.
112,324
112,432
112,342
d.
1,980,452
1,098,452
1,890,452
Compare. Write >, <, or = for each
9.
8÷8
10.
27 ÷ 27
8÷1
48 ÷ 48
.
Find the missing value.
11.
_____ ÷ 5 =
0
12.
28 ÷ _____ = 28
Solve. Use pictures, numbers, or words to show how you know.
13. The home team was
46 yards away from the goal line. The team moved 17 yards toward
the goal and then moved 7 yards away from the goal. How many yards away is the home
team now? Show how you know.
14. Megan is in the band. She practices
55 minutes every day. Before lunch, she practiced for 18
minutes. How much longer does she need to practice? Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Relate Multiplication and Division
HW 4.3
Practice to review… I can use what I know about multiplication to divide!
I can use a multiplication table to model 42 ÷ 6 . I will think about an area model.
I can make rows with 6 boxes in each row.
(6 equal columns)
I can make columns with 6 boxes each column.
(6 equal rows)
x 1 2 3 4 5 6 7 8 9 10 11 12
1
6
2
12
3
18
4
5
6
7
8
9
10
11
12
x 1 2 3 4 5 6 7 8 9 10 11 12
1
2
3
4
5
6 6 12 18
7
8
9
10
11
12
When I skip count by 6 in a row,
When I skip count by 6 in a column,
it takes _____ rows to make 42.
it takes _____ columns to make 42.
This model helps me think about a fact family for the numbers 42, 6, and 7.
_____ × _____ = _____
_____ ÷ _____ = _____
_____ × _____ = _____
_____ ÷ _____ = _____
Practice to remember…
Think about patterns and skip counting to answer each question.
1.
24 ÷ 6 = _______
2.
81 ÷ 9 = _______
3.
32 ÷ 8 = _______
4.
20 ÷ 4 = _______
5.
49 ÷ 7 = _______
6.
56 ÷ 7 = _______
7.
12 ÷ 3 = _______
8.
63 ÷ 9 = _______
9.
72 ÷ 8 = _______
10.
36 ÷ 6 = _______
11.
18 ÷ 6 = _______
12.
45 ÷ 5 = _______
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Remembering
RE 4.3
Practice for fluency…
13. Which of the following is true?
14. Which of the following is true?
a.
$42.86 < $42.68
a.
4 one-dollar bills < 1 one-dollar bill
b.
$117.15 < $17.15
b.
6 quarters > 16 dimes
c.
$170.28 = $17.28
c.
7 ten-dollar bills > 9 five-dollar bill
d.
$180.46 > $118.64
d.
2 fifty-dollar bills < 3 five-dollar bills
Compare. Write >, <, or = for each
15.
112,371
99,864
16.
495,346
496,346
.
17.
4 ten thousands
18.
50 thousands
7,000
5 ten thousands
Solve. Use pictures, numbers, or words to show how you know.
19. Sandy’s photography club at school sold photos to raise money for their club. They sold
123
landscapes. If the club sold 18 more landscapes than portraits, how many portraits did they
sell? Show how you know.
20. There are
14 students in Mr. Brach’s fourth-grade class.
What are the ways he can divide the
students into equal groups? Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math
€
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Multiplication and Division Facts to Five
HW 4.4
Practice to review… I can use strategies to multiply and divide!
I know different strategies to show the product of 3 x
I can use a related fact.
10
5
(2×5)
(1×5)
5
3 × 5 = _______
I can use repeated addition.
I can draw a model.
0
I know different strategies to show the quotient of 24 ÷
I can use halving.
÷2
4.
24 ÷ 4 = _______
I can use repeated subtraction.
I can draw a model.
÷2
24
0
÷4
20 24
Practice to remember…
Multiply or divide.
1.
3 × 4 = _______
2.
5 × 9 = _______
3.
16 ÷ 4 = _______
4.
20 ÷ 5 = _______
5.
3 ÷ 3 = _______
6.
1 × 9 = _______
7.
5) 45
8.
€ 2013
© Lincoln Public Schools,
2)18
9.
€
4
×8
10.
€
5
×6
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
4H04L2 1/21/04 12:14 PM Page 2
4H04L2 1/21/04 12:14 PM Page 2
Remembering
Name
Homework
4.2
Date
Relate Multiplication
Practice
for fluency…
and Division
Write the fact family for each array or set of numbers.
Which
fact family matches the model?
1.
2.
Write the fact family for each array or set of numbers.
12.
4 ! 7 " 28
a.7 ! 44" 28× 7
28 # 7 " 4
3, 5, 15
4.
5 ! 3 " 15
c.15 #
4×
3 "75=
15 #
5 "43=
7×
4, 8, 32
6.
2824÷ 724!= 4
!
28 ÷ 4 = 74
6!4"!
6
4 ! ! " 24
#6"4
24 #
"6
Problem Solving
2 ! 8 " 16
4 ! 9 " 36
b.
8 × 2 = 16 9 ! 4 " 36
8 ! 2 " 16
2×
16 #
2 "88= 16 36 # 4 " 9
16 #
8 8÷" 22 = 16 36 # 9 " 4
a.
28 # 4 " 7
−3, 7,721= 4
5.
3, 5,21
15
−3 4!=77"
4, 8, 32
2
4.
3.
8. There are
4 rows and
8 chairs inpart.
each row. What fact family
Complete
each
missing
can you write with this information?
4 ! 8 " 32; 8 ! 4 " 32;
13. ___________
tens
32 # 8 " 4; 32
# 4="1,000,000
8
Copyright © Houghton Mifflin Company. All rights reserved.
2.
÷
8 = 16
5.
3, 7, 21
8 × 2 = 16
2 × 8 = 16
8 = 16 ÷ 2
2 = 16 ÷ 8
3 ! 7 " 21
4 ! 8 " 32
7!33
"!
215 " 15
5
!
3
"
15
7
8
!
4
"
32
c. 8 + 2 = 10 ! 3 " 21
d. 2 + 8 = 11
4 + 721=#113 " 7
15
#
3
"
5
21
#
3
"
7
32
#
4
"
8
7 + 421=#11715"#3 5 " 3
2
+ 8 = 10
8 + 2 = 11
21 # 7 " 3
32 # 8 " 4
=! 7 −Complete
414! # 2each
10 = 8 − 2
10 − 8 = 2
7. 7 11
! 2 "14
" 7 fact family.
6. 614
!#
4"
7. 7 ! 2 "14
24
14
!
!#6"4
!
!#2"7
2 !7
"2
! " 14
!24
7
10 − 2 = 8
11 = 4 − 74 ! 6! " 24
10 = 22−! 7!8" 14
24 # 4
14 # 7
!"6
!"2
8 ! 4 " 32
28 32 # 4 "d.8
28 32 # 8 " 4
Complete each fact family.
1.
4 ! 9 " 36
9 ! 4 " 36
4 + 736
= 114 ! 7 " 28
#4"9
7 + 436=#119287 !"#47"4"284
7×4
28 = 7 ÷ 4
11
3 !28
5 "= 15
4 ÷ 7 4 ! 8 " 32 11
28 # 4 " 7
3.
2 ! 8 " 16
8 ! 2 " 16
b.
= 28
16 # 2 " 8
= 28 16 # 8 " 2
Homework
4.2
Date
Relate Multiplication
and Division
11.
14.
RE 4.4
Name
Problem Solving
8.
There are 4 rows and 8 chairs in each row. What fact family
can you write with this information?
4 ! 8 " 32;15.
8 !__________
4 " 32;
32 # 8 " 4; 32 # 4 " 8
ten thousands = 1,000,000
Use with text pages 88–89.
Copyright © Houghton Mifflin Company. All rights reserved.
1,000,000= ___________ hundreds
16.
Use with text pages 88–89.
1,000,000= __________ thousands
Solve. Use pictures, numbers, or words to show how you know.
17. Nancy’s classroom has
32 desks. The desks are arranged in 4 equal rows. How many desks
are in each row? Show how you know.
18. Douglas is sailing around the world on a boat for a year. His planned route will be a total of
38,024 nautical miles. In order to officially circumnavigate the globe, he has to travel at least
21,600 nautical miles. How much longer is Douglas’s trip than it is required to be? Show
how you know.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Name: ___________________________________ Date: _________________
Multiplication and Division Facts to Ten
Multiplication
and Division
HW 4.5
Practice to review… I can use strategies to multiply and divide!
I know different strategies to show product and quotients!
8 × 9 = _______
48 ÷ 6 = _______
I can use a related fact.
I can use a related fact.
64
8
(8×8)
(8×1)
THINK
6 × _______ = 48
0
I can use a model.
I can use The Commutative Property and doubling.
×2
×2
×2
9
×8
Practice to remember…
Multiply or divide.
1.
8 × 7 = _______
2.
6 × 9 = _______
3.
63 ÷ 7 = _______
4.
54 ÷ 9 = _______
5.
72 ÷ 8 = _______
6.
6 × 6 = _______
9.
72 ÷ 8
Compare. Write >, <, or = for each
7.
60 ÷ 10
63 ÷ 9
© Lincoln Public Schools, 2013
8.
.
7×8
6×9
100 ÷ 10
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Remembering
RE 4.5
Practice for fluency…
Choose the correct answer.
10.
18 × 1
18 ÷ 1
a. =
b. ≠
c. >76274-P-03-L1-L8 2/12/03
d. <
11.
☐ ÷ 51 = 0
a.
b.
c.
1:51 PM Page 3
1
51
0
d. impossible
Complete each number sentence.
12.
3 × _______Name
= 27
14.
_______Date
×8 > 9×5
Estimate Sums and Differences
13.
Problem
Solving
3.3
36 ÷ _______
9 club is making crafts for a15.
_______ × _______
The= art
craft100
sale.÷
The10
table<shows
the cost of some craft supplies. Use the table for Problems 1–4.
Use the table at the right to answer the questions. Use pictures, numbers, or words to show how you know.
The art club bought 3 bags of pipe
16. Jim made some1.ornaments.
He used a yard of felt, a container
cleaners. Round the cost of each bag
of glitter, and a red marker. About how much did it cost for Jim
of pipe cleaners to the nearest ten
to make his ornaments? Show how you know.
cents to estimate how much the club
spent on pipe cleaners.
$10.20
Craft Supplies
colored beads $1.89 per bag
yarn
$2.15 per roll
glitter
$4.49 each
felt
$1.12 per yard
markers
$2.59 each
If the art club bought one of each item
pipe cleaners $3.38 per bag
on the list, about how much did the
17. Angie has $10 toclub
spend?
spend
at the craft store. She estimates that she has enough money to buy
Showofyour
work.
a bag of colored beads, a roll of yarn, two yards of felt, and a container
glitter.
Do you
agree with Angie’s estimation? Explain your thinking.
3. Jessie bought 2 containers of glitter.
Jack bought 2 markers. About how
much more did Jessie spend than Jack?
2.
$15
$4
Jim made some ornaments using a
yard of felt, a container of glitter, and a
red marker. About how much did it
© Lincoln Public Schools, cost
2013to make the ornaments?
4.
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Model Division with Remainders
HW 4.8A
Practice to review… I can model division in two ways!
There are two ways to think about 13÷ 4.
I can think of 4 equal sized groups.
This quotient tells how many
________________________
13÷ 4 = ______ R ______
If there are 4 equal sized groups,
there must be _____ counters in each group
The remainder tells how many
and _____ leftover counters.
I can think of groups of 4.
leftover ___________________
13÷ 4 = ______ R ______
If there are groups of 4 counters,
there must be _____ complete groups
and _____ leftover counters
This quotient tells how many
________________________
Practice to remember…
Divide.
1.
38 ÷ 5
3.
25 ÷ 3 =
5.
3) 22
= ____________
____________
6.
© Lincoln Public€Schools, 2013
4) 21
€
2.
6÷5
4.
75 ÷ 9 =
7.
7) 30
= ____________
____________
8.
€
2)19
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Remembering
RE 4.8A
Practice for fluency…
9.
Which of the following is a true statement?
a.
13 one-dollar bills and 9 dimes > 1 five-dollar bill and 6 quarters
b.
13 one-dollar bills and 9 dimes < 1 five-dollar bill and 6 quarters
c.
13 one-dollar bills and 9 dimes = 1 five-dollar bill and 6 quarters
10. Which of the following is a true statement?
a.
$48 > 3 ten-dollar bills, 2
five-dollar bills, and 6 one-dollar bills
b.
$48 < 3 ten-dollar bills, 2
five-dollar bills, and 6 one-dollar bills
c.
$48 = 3 ten-dollar bills, 2
five-dollar bills, and 6 one-dollar bills
Complete each number sentence.
11.
Compete the table.
Rule: Divide by 9
5 × _______ = 35
13.
12.
_______ × 9 = 45
45
9
14.
Use the table at the right to answer the questions. Use pictures, numbers, or words to show how you know.
15. What is the value of the digit
4 in the number 546,328?
Explain how you know.
16. Shelburne Orchards has a plot of Mitsu apple trees. The trees are planted in
7 trees in each row. How many Mitsu apple trees are in the plot?
© Lincoln Public Schools, 2013
8 rows. There are
Show how you know.
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Division with Remainders
HW 4.8B
Practice to review… I can divide when there are remainders!
I can find the quotient of 21 ÷ 4
4 equal sized groups
THINK
)
4 21
−
=
×
OR
remainder
Groups of 4
€
21÷ 4 = ______ R ______
Practice to remember…
Divide.
1.
41 ÷ 7 =
____________
2.
52 ÷ 9 =
____________
3.
44 ÷ 5
= ____________
4.
16 ÷ 3 =
____________
5.
5) 29
7.
2)15
6.
3) 22
€
€ He owns
9. Charlie is organizing
books on his bookshelf.
8.
6)19
€ Charlie’s bookshelf has 6
47 books.
shelves. Is there a way for Charlie to organize all of his books so that there are an equal
number of books on every shelf? Explain your thinking.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Remembering
RE 4.8B
Practice for fluency…
10. Which is in order from least to greatest?
a.
365,844
365,449
b.
57,601
c.
9,999
10,800
d.
1,911
2,397
575,601
365,948
578,601
8,999
1,110
11. Which is in order from least to greatest?
a.
3,199
9,133
b.
50,625
c.
642,111,543
d.
9,856
3,199
56,525
55,625
681,111,543
10,008
645,111,543
19,825
Find each missing amount.
12.
______ hundreds = 2,000,000
14.
______ ten thousands = 2,000,000
13.
2,000,000= ______ thousands
15.
2,000,000= ______ hundred thousands
Solve. Use pictures, numbers, or words to show how you know.
16. Frankie and Tyronne rode one of the longest roller coasters in the world. It is
long. Tyronne says it is about 8,000 feet long.
Who is correct? Explain your thinking.
17. There are
8,158 feet
Frankie says it is about 8,200 feet long.
6 boys at a party.
There are 3 times as many girls as boys at the party. How
many children are there? Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Name: ___________________________________ Date: _________________
Solve Problems with Words
Multiplication
and Division
HW 4.9A
Practice to review… I can use strategies to solve problems with words!
I can write equations to solve problems with words.
Lincoln Elementary School is having a book sale as a fundraiser. The school has grades 1 through 5. Four students
from each grade volunteered to help. How many students helped at the book sale? Show how you know.
UNDERSTAND This story is about __________________________________________________________.
PLAN
I know for sure that the school has _________ grades.
I also know that _________ students from each grade helped at the sale.
Think about the story. Do we need to combine or separate students to solve the problem?
We need to ________________ the students from each grade that volunteered to help.
What operations can we use to combine groups of students?
We can _________________________ or _________________________ !
Choose a strategy.
SOLVE
Combine _______ groups of _______. 
How many students in all? _______
There are _______ student volunteers at the book sale.
LOOK BACK
Let’s check… Write an equation to show how you counted the student volunteers.
Does your answer make sense?
Practice to remember…
Choose a strategy and show your thinking in the space provided.
1. Dylan bought
3 packages of 5 books at the book sale. How many books did Dylan buy?
Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Multiplication
and Division
Name: ___________________________________ Date: _________________
Practice to remember, continued…
RE 4.9A
Read the Math Story and answer the question.
Choose a strategy to show your thinking in the space provided.
2. Betsy and her two sisters shared the cost of an expensive book. It cost
an equal amount, how much did each girl pay? Show how you know.
3. The school has a goal of donating
8 books to each classroom.
many books need to be donated? Show how you know.
$24. If each girl spent
If there are 5 classrooms, how
Remembering
Practice for fluency…
4.
Which statement is true?
5.
Which statement is true?
a.
0x7
=
0÷7
a.
A number can be divided by zero.
b.
0x7
=
0+7
b.
A number cannot be divided by zero.
c.
7x1
=
7+1
c.
A number cannot be multiplied by zero.
d.
7÷1
d.
A number divided by itself always equals zero.
=
7−1
Complete each equation.
6.
51 ÷ _______ = 5 R 6
8.
44 ÷ 5 = 8 R _______
7.
_______ ÷ 7 = 9
9.
_______ ÷ 2 = 5 R 1
© Lincoln Public Schools, 2013
4th Grade Math
Chapter 4
Practice
Multiplication
4.9
and Division
Name
Date
Name: ___________________________________
Date: _________________
Problem-Solving Decision:
Solve Problems withChoose
Words
the Operation
HW 4.9B
Practice to review… I can use
strategies
toProblems
solve problems
with words!
Use the
table below for
1–3.
I can write equations to solve problems
words.
Tina iswith
organizing
her comic books. The table at
Book List
the right shows the number of issues she has for
each book series.
Tina is organizing her comic books. The table at the right shows
the number of issues she has for each books series. The Mission
Man series groups its issues into 6-issue packs. How many packs of
Mission Man does Tina own? Show how you know.
Book
Number of Issues
Mission Man
48
4th Grade Spies
30
Detective Girl
20
Samurai Sam
24
Solve. Explain why you choose each operation.
Show your work.
1. The Mission Man series groups its
UNDERSTAND This story is about __________________________________________________________.
issues into 6-issue packs. How many
packs of Mission Man does Tina own?
PLAN
I know for sure __________________________________________________________.
8 packs; use division
to find equal groups
I also know __________________________________________________________.
2.
SOLVE
How many more issues of 4th Grade
Spies does Tina own than issues of
Detective Girl?
Choose a strategy.
10 issues; use subtraction
to find the difference
Show your thinking. 
3. packs?
Tina owns
12 magazine racks. Each
How many
_______
Tina owns _______ packs of Mission
LOOK BACK
rack holds 10 comics. Does she have
enough racks to hold all of her
comics?
not, how many comics will
Man
comicIf books.
be left over?
Write an equation to showNo,
how 2
youissues
solved theare
problem.
your answer make sense?
leftDoes
over.
Practice to remember…
explanations may vary.
Copyright © Houghton Mifflin Company. All rights reserved.
Choose a strategy and show your thinking in the space provided.
Use with text pages 104–105.
1. How many more issues of 4th Grade Spies does Tina own than issues of Detective Girl ?
© Lincoln Public Schools, 2013
4th Grade Math
Name
Chapter
4
Practice
Date
Multiplication
4.9
and Division
Name: ___________________________________ Date: _________________
Problem-Solving Decision:
Practice to remember, continued…
Choose the Operation
Read the Math Story and answer the question.
RE 4.9B
Use the in
table
Problems 1–3.
Choose a strategy to show your thinking
thebelow
spaceforprovided.
2. Tina owns
Tina is organizing her comic books. The table at
12 magazine racks.
Each
rack
comics
the right
shows
theholds
number10
of issues
she has for
Book List
each book
books. Does she have enough
racksseries.
to hold all of her comics?
Show how you know.
Book
Number of Issues
Mission Man
48
4th Grade Spies
30
Detective Girl
20
Samurai Sam
24
Solve. Explain why you choose each operation.
1.
The Mission Man series groups its
issues into 6-issue packs. How many
packs of Mission Man does Tina own?
Show your work.
8 packs; use division
to find equal groups
Remembering
Practice for fluency…
3.
2. How many more issues of 4th Grade
4. What is the greatest amount?
Which amount is greater than $3
?
a.
3
quarters
b.
2
dollars and 3 quarters
c.
1
dollar and 9 quarters
d.
10
quarters
Complete each equation.
5.
10 ÷ _______ = 4 R 2
Spies does Tina own than issues of
Detective Girl?
a.
$2.85
c.
$3.75
10 issues; use subtraction
b. $2.25
to find the difference
3.
Tina owns 12 magazine racks.
d. Each
$3.45
rack holds 10 comics. Does she have
enough racks to hold all of her
comics? If not, how many comics will
be left over?
No, 2 issues8. are
10 left
÷ 3 over.
= 3 R _______
explanations may vary.
Copyright © Houghton Mifflin Company. All rights reserved.
7.
_______ ÷ 7 = 6 R 2
9.
Use with text pages 104–105.
_______ ÷ 9 = 3 R 6
Answer the question. Use pictures, numbers, or words to show how you know.
10. When the product of two numbers is the same as one of the factors, what do you know
about the other factor? Show how you know.
© Lincoln Public Schools, 2013
4th Grade Math