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48
Practice Lesson 12 Divide Whole Numbers
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 48
Lesson 12
Divide Whole Numbers
Solve.
Name:
M
Prerequisite: Relate Multiplication and Division
4 Write numbers in the area model below to show
6 3 925. Then complete the equation.
Study the example showing how to use multiplication
to solve a division problem. Then solve problems 1–7.
6
Divide 800 by 4.
M
800
200
200
M
6 For each division equation below, write a related
900 4 3 5 ? 3 3 300 5 900
600
30 4 3 5 ? 3 3 10 5 30
5
9435? 33359
3 600 5 3,000
C
2 Multiply.
1,800
2,700
7 Heidi drove to visit her grandparents last weekend.
She drove 215 miles each way. This weekend she
drove to her friend’s house. It was 174 miles each
way. How many miles did she drive altogether on
both weekends?
Show your work.
Possible work:
215 3 2 5 430
174 3 2 5 348
430 1 348 5 778
3 Write the missing numbers in the equation.
5 3 743 5 (
5
3 700) 1 (
5 3,500 1 200 1
5
3 40) 1 (
5
3 3)
15
Solution: Heidi drove 778 miles.
5 3,715
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Copying is not permitted.
You can multiply by
2 to find the distance
Heidi drove each
weekend.
Lesson 12 Divide Whole Numbers
130
130
129
129
Lesson 12 Divide Whole Numbers
Key
B Basic
M Medium
C Challenge
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Copying is not permitted.
Unit 3
Copying is not permitted.
4/7/16 2:37 PM
Unit 3 Number and Operations in Base Ten, Part 2
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M
600 4 3 5 ? 3 3 200 5 600
600
3,000 4 5 5 600
Division equation:
3 3 900 5
)
multiplication equation. The first one is done for you.
600
6 3 300 5
5
30
Solution: 3 3 213 5 639
3,000
2,800
20 ) 1 (6 3
Student work will vary. Students may use an area
model, partial products, or use another model to
solve the problem. 3 3 213 5 639
200
and a related multiplication equation.
4 3 700 5
5
Show your work.
200
1 Look at the model below. Write a division equation
Multiplication equation:
63
5 Multiply. 3 3 213 5 ?
Each ticket cost $200.
600
5
+
20
5 5,550
800 4 4 5 ?
Use the related multiplication equation.
4 3 200 5 800
So, 800 4 4 5 200
B
63
5 5,400 1 120 1
The Lin family spent $800 on 4 airplane tickets.
Each ticket was the same price. How much did
each ticket cost?
600
20
+
6 3 925 5 (6 3 900 ) 1 (6 3
Example
B
900
6 3 900
Name:
Solve.
Divide Three-Digit Numbers by One-Digit Numbers
Copying is not permitted.
C
Study the example problem showing how to divide a three-digit
number by a one-digit number. Then solve problems 1–6.
3 A health center raised $476. The money was divided
equally among 7 programs. How much did each program
get? Use an area model to solve the problem.
Show your work. Possible model:
1
5 68
60
8
Example
Muffins are packed and sold in boxes of 4.
How many boxes are needed to pack 260 muffins?
1
50
260 4 4 5 ?
Use an area model.
260 4 4 5 65
(4 3 50 5 200)
260
4
2 200
10
(4 3 10 5 40)
60
2 40
60
65 boxes are needed.
M
5
1
(7 3 60 5 420)
476
7
2 420
5 65
(4 3 5 5 20)
20
2 20
20
56
0
M
2 friends. He wants each person to have an equal number
of pieces. How many pieces does each person get?
Show your work.
Student work will vary. Students may use an
area model or subtract partial products to
solve the problem.
876 4 3 5 292
Possible answer:
292 pieces
Solution: ___________________________________
4 3 50
M
4 3 10
a. 900 4 3 5 300
3
quotient: 300
5
quotient: 120
b. 120 5 600 4 5
dividend: 600 divisor:
Copying is not permitted.
Answers will vary. Possible answer: I know that 3 3 200 5 600 and 3 3 300 5 900.
So I know the quotient will be between 200 and 300. Because 876 is closer to 900,
divisor the number you
divide by in a division problem.
quotient the answer to a
division problem.
the answer will be closer to 300 than to 200.
M
6 Explain how to use multiplication to check your answer
dividend 4 divisor 5 quotient
260 4 4 5 65
quotient
divisor )dividend
Answers will vary. Possible answer: Multiply the divisor by the quotient. It should
65
4q····
260
Lesson 12 Divide Whole Numbers
131
131
in problem 4.
equal the dividend. 3 3 292 5 876
132
132
Lesson 12 Divide Whole Numbers
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49
4/7/16 2:37 PM
Unit 3
Unit 3 Number and Operations in Base Ten, Part 2
have used estimation before you divided so that you
would know whether your answer was reasonable.
dividend the number you
divide in a division problem.
2 Identify the dividend, divisor, and quotient.
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5 Look at how you solved problem 4. Explain how you could
Vocabulary
435
dividend: 900 divisor:
0
4 Mike has 876 building pieces to share among himself and
Use multiplication to check:
4 3 65 5 (4 3 60) 1 (4 3 5)
5 240 1 20
5 260
partial products to divide 260 by 4.
B
(7 3 8 5 56)
56
2 56
$68
Solution: ___________________________________
1 Use the example above. Show how to subtract
260
2 200
60
2 40
20
2 20
0
Practice Lesson 12 Divide Whole Numbers
Practice and Problem Solving
©Curriculum Associates, LLC
CC04MM RPPS TG TEXT.indb 49
Lesson 12
50
Name:
Solve.
Divide Four-Digit Numbers by One-Digit Numbers
M
Study the example problem showing how to divide a four-digit
number by a one-digit number. Then solve problems 1–5.
3 One week has 7 days. How many weeks do
1,230 days make? What does the remainder mean?
Show your work.
Student work will vary.
1,230 4 7 5 175 R5
175 weeks; There are 5 days left over.
Solution: ___________________________________
Example
A group of hikers plan to take 8 hours
to hike a mountain trail 5,380 meters
long. If they hike the same distance
each hour, how many meters should
they hike in an hour?
2
70
600
8q······
5,380
2 4,800
5,380 4 8 5 672 R4
580
2 560
The hikers should hike 672 meters each
hour. Then they will need to hike 4 more
meters to reach the end of the trail.
20
2 16
The sum of the partial quotients
is 600 1 70 1 2 , or 672. The
remainder is 4.
M
4 Mugs are packed 6 to a box. How many boxes are
needed to pack 1,524 mugs?
Show your work.
Student work will vary.
1,524 4 6 5 254
254 boxes
Solution: ___________________________________
There are 600 groups of 8 in 5,000.
Subtract 600 groups of 8; 8 3 600.
There are 70 groups of 8 in 580.
Subtract 70 groups of 8; 8 3 70.
C
There are 2 groups of 8 in 20.
Subtract 2 groups of 8; 8 3 2.
5 Tyson used a calculator to find the quotient for each
of the problems below. Use estimation to tell
whether each quotient is Correct or Incorrect.
4
a. 4,960 4 2 5 9,920
M
1 Complete the division problem.
8,236 4 5 5 1,647 R1
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2 Complete the division problem.
4,507 4 4 5
b. 7,095 4 5 5 1,419
1,126 R3
c. 9,621 4 3 5 230 R7
6
2 0
1 0 0
1 0 0 0
4q···········
4, 5 0 7
2 4, 0 0 0
d. 3,875 4 6 5 645 R5
C
u Correct
u
3 Correct
u Correct
u
3 Correct
u
3 Incorrect
u Incorrect
3 Incorrect
u
u Incorrect
6 Explain how you used estimation to tell which
quotients were incorrect in problem 5.
Possible explanation: 4,960 rounds to 5,000;
5,000 4 2 is about 2,500, so the quotient 9,920
5 0 7
2 4 0 0
is incorrect. 9,621 rounds to 10,000;
1 0 7
2 8 0
10,000 4 3 is a little more than 3,000,
so the quotient 230 R7 is incorrect.
2 7
2 2 4
Vocabulary
remainder the amount
left over that will not
divide equally into the
given number of groups.
5,380 4 8 5 672 R4
3
Lesson 12 Divide Whole Numbers
remainder
133
133
134
134
Lesson 12 Divide Whole Numbers
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Unit 3
Copying is not permitted.
4/7/16 2:37 PM
Unit 3 Number and Operations in Base Ten, Part 2
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7
4 0
6 0 0
1 0 0 0
8, 2 3 6
5 q···········
2 5 0 0 0
3, 2 3 6
2 3 0 0 0
2 3 6
2 2 0 0
3 6
2 3 5
1
M
For problems 3 and 4, students
may use an area model, subtract
partial products, or use another
model to solve the problem.
Practice Lesson 12 Divide Whole Numbers
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 50
Lesson 12
Name:
Solve.
Divide Whole Numbers
Copying is not permitted.
Solve the problems.
B
M
1 Find the quotient.
To check the
quotient, multiply it
by the divisor and
add any remainder.
3,752 4 6
A 652
C
B
D 625 R2
652 R2
625
4 Chloe and Ingrid are packing boxes with books. They
What does the
remainder mean in
this problem?
have 238 books. Each box will fit 8 books. Chloe says
29 boxes is enough to pack all the books. Ingrid
thinks they need 30 boxes. Explain who is correct.
Show your work.
Student work will vary. Students may use an area model,
subtract partial products, or use another model to solve the
problem. 238 4 8 5 29 R6
Ingrid is correct. 6 books left over need a 30th box.
Solution: __________________________________________________________
M
2 Carter has a pack of 800 rubber bands. Alicia has
twice as many rubber bands as Carter. They combine
their rubber bands so that they can make bracelets.
Each bracelet needs 100 rubber bands. Which
equation below can be used to find how many
bracelets they can make?
A (800 3 2) 4 100
C
B
D (800 3 100) 4 3
(800 3 3) 4 100
Drawing a model or
picture can help
make sense of this
problem.
M
into an album. Each album page holds 6 photos.
How many pages can she fill with 6 photos each?
Show your work.
Student work will vary. Students may use an area
model, subtract partial products, or use another
model to solve the problem. 1,090 4 6 5 181 R4
(800 4 100) 3 2
He did not add Alicia and Carter’s rubber bands together. Choice A shows
C
a. 5,497 4 4 5 1,374
b. 4,806 4 6 5 81
c. 955 4 5 5 191
d. 642 4 8 5 82
u True
u True
3 True
u
u True
u
3 False
u
3 False
u False
3 False
u
What does it mean to
have a zero place
value in the dividend?
6 In 4 weeks, a school raised $2,560 for Health and
Fitness awareness. Students collected donations
5 days each week. The principal agreed to make one
donation that was the same as the amount collected
in a day. If an equal amount was collected each day,
how much did the principal donate?
This looks like a
multi-step problem.
To start, what
number do you
divide 2,560 by?
Show your work.
Possible work: 2,560 4 4 5 640 $640 a week
640 4 5 5 128 $128 a day
Students may also multiply (4 3 5 5 20) and then
divide 2,560 by the product: 2,560 4 20 5 128.
The principal donated $128.
Solution: __________________________________________________________
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Lesson 12 Divide Whole Numbers
135
135
136
136
Lesson 12 Divide Whole Numbers
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51
4/7/16 2:37 PM
Unit 3
Unit 3 Number and Operations in Base Ten, Part 2
how many bracelets can be made with only Alicia’s rubber bands.
3 Tell whether each sentence is True or False.
Divide each place
value in the dividend,
1,090, by the
divisor, 6.
Carolyn can fill 181 pages.
Solution: __________________________________________________________
Jon chose A as the correct answer. How did he get
that answer?
M
5 Carolyn has 1,090 photos that she wants to organize
Practice Lesson 12 Divide Whole Numbers
Practice and Problem Solving
©Curriculum Associates, LLC
CC04MM RPPS TG TEXT.indb 51
Lesson 12