Name
4.5
?
2-Digit Divisors
Essential Question
Number and
Operations—5.3.G
Also 5.3.A
MATHEMATICAL PROCESSES
5.1.B
How can you divide a decimal by a 2-digit whole number?
Unlock
Unlock the
the Problem
Problem
The annual rainfall in Greensville is 4.32 inches. What is the average
monthly rainfall in Greensville?
One Way Use place value.
Divide. 4.32 ÷ 12
STEP 1 Share the ones.
0
12)‾
4.32
−0
4 ones cannot be shared among 12 groups
without regrouping.
Place a zero to show there are no ones.
STEP 2 Share the tenths.
0
12)‾
4.32
−0
−
_ tenths ÷ 12
Multiply. 12 × _ tenths
Subtract. _ tenths − _ tenths
Check._ tenths cannot be shared among 12 groups.
Divide.
© Houghton Mifflin Harcourt Publishing Company
STEP 3 Share the hundredths.
0
12)‾
4.32
−0
43
−3 6
−
_ hundredths ÷ 12
Multiply. 12 × _ hundredths
Subtract. _ hundredths − _ hundredths
Check. _ hundredths cannot be shared among 12 groups.
Divide.
Place the decimal point in the quotient
to separate the ones and the tenths.
Math Talk
Mathematical Processes
Explain how you would
So, the average monthly rainfall in Greenville is __ inch.
model 10.32 ÷ 12 using
base-ten blocks.
Module 4
179
Another Way Use an estimate.
Divide as you would with whole numbers.
Divide. $40.89 ÷ 47
• Estimate the quotient. 4,000 hundredths ÷ 50 = 80 hundredths, or $0.80
• Divide the tenths.
$
47)‾
$40.89
• Divide the hundredths. When the remainder is zero and there are no more
digits in the dividend, the division is complete.
• Use your estimate to place the decimal point. Place a zero to show there
are no ones.
So, $40.89 ÷ 47 is __.
• Explain how you used the estimate to place the decimal point in
the quotient.
Share
Share and
and Show
Show
Divide.
Estimate the quotient.
2. 23)‾
52.9
180
40 tenths ÷ 20 =
_
3. 14)‾
137.2
4. 42)‾
$31.50
© Houghton Mifflin Harcourt Publishing Company
1. 18)‾
4.68
Name
Problem
Problem Solving
Solving
5.
6.
Representations Make a model to find 11.16 ÷ 18.
Describe your model.
Write Math
What’s the Error? Darla divided 812.5 by 50.
She says the quotient is 1.625. Describe Darla’s error.
Problem
Problem Solving
Solving
7. Jin makes trail mix with apricots and walnuts. A package of dried
© Houghton Mifflin Harcourt Publishing Company
apricots weighs 25.5 ounces. Jin divides the apricots equally among
34 bags of trail mix. How many ounces of apricots are in each bag?
8.
Analyze A large box of cereal weighs
17 ounces and costs $5.95. A small box of the same cereal
weighs 10 ounces and costs $3.90. Which has a greater
cost per ounce?
9.
Multi-Step Maya trains 5 days each week for a triathlon.
In 5 weeks she logs 24.6 miles in the pool, 445.45 miles on the bike,
and 167.45 miles running. On average, how many miles did Maya
cover each day?
Write Math
Show Your Work
Module 4 • Lesson 5
181
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
10. A scientist conducting a dig spent $37.95 on 23 packets of hand wipes for
her team of volunteers. What was the price of each packet?
A
$16.50
C
$1.60
B
$16.05
D
$1.65
11. Calvin needs to buy carpet to cover the floor of a rectangular room with
an area of 170.8 square feet. Calvin measures the room’s length to be
14 feet. He then divides the room’s area by its length to find the room’s
width. How many decimal places will the quotient have?
A
0
C
2
B
1
D
3
12. Multi-Step Farmer Lee grows tomatoes and squash. He harvests
49.92 kilograms of tomatoes and 65.92 kilograms of squash. He
distributes the tomatoes and squash into 32 farm share baskets.
How many more kilograms of squash than tomatoes does each
basket contain?
A
2.06 kilograms
B
0.5 kilogram
C
1.56 kilograms
D
3.62 kilograms
TEXAS Test Prep
13. Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad.
182
A
0.089 pound
B
1.76 pounds
C
0.89 pound
D
17.6 pounds
© Houghton Mifflin Harcourt Publishing Company
If each serving contains the same amount of fruit, how much fruit
is in each serving?
Number and Operations—5.3.G
Also 5.3.A
MATHEMATICAL PROCESSES 5.1.B
H o mewo rk
and Practice
4.5
Name
2-Digit Divisors
Divide.
1. 16)‾
6.08
2. 21)‾
94.5
3. 15)‾
7.35
4. 21)‾
$13.65
5. 15)‾
137.1
6. 13)‾
111.8
7. 26)‾
$85.28
8. 18)‾
349.2
9. 35)‾
23.45
10. 90)‾
$10.80
11. 54)‾
44.28
12. 12)‾
32.4
Problem
Problem Solving
Solving
13. Carla’s car travels 412.5 miles on a tank of gas.
© Houghton Mifflin Harcourt Publishing Company
The tank holds 15 gallons of gas. How many
miles can Carla go on each gallon?
14. Muffins cost $35.40 for a dozen or $18.72 for a
half dozen. Which is the better buy? Explain.
Module 4 • Lesson 5 183
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
What is the cost for each page?
the cost of one rose?
A
$1.05
A
$2.41
B
$1.03
B
$2.49
C
$1.15
C
$2.40
D
$1.10
D
$2.08
17. Cameron has a stack of 13 identical books
that is 30.55 centimeters tall. He divides the
total height by the number of books to find the
width of one book. How many decimal places
will the quotient have?
A
3
B
2
C
1
D
0
19. Multi-Step Last year, Mr. Henderson paid a
184
16. A florist sells a dozen roses for $29.88. What is
18. Kiera makes 188.6 ounces of punch for a pool
party. She has 23 guests attending the party.
How many ounces of punch does she make for
each guest?
A
8.2 ounces
B
9.4 ounces
C
8.1 ounces
D
7.2 ounces
20. Multi-Step Isabel worked 20 hours last week
total of $98.40 for phone service and $79.20 for
garbage pickup. What was his average cost per
month for phone service and garbage pickup?
and earned $145.80. Nan worked 15 hours last
week and earned $112.50. How much more
does Nan earn per hour?
A
$8.20
A
$2.22
B
$6.60
B
$3.30
C
$1.48
C
$0.39
D
$14.80
D
$0.21
© Houghton Mifflin Harcourt Publishing Company
15. Anita pays $20.70 to copy an 18 page report.
Name
Module 4 Assessment
Concepts
Concepts and
and Skills
Skills
1. Explain how the position of the decimal point changes in a quotient
as you divide a number by 10, 100, and 1,000. q TEKS 5.3.G
2. Explain how you can use base-ten blocks to find 2.16 ÷ 3. q TEKS 5.3.F
Complete the pattern. q TEKS 5.3.G
3. 223 ÷ 1 = _
4. 61 ÷ 1 = _
5. 57.4 ÷ 1 = _
223 ÷ 10 = _
61 ÷ 10 = _
57.4 ÷ 10 = _
223 ÷ 100 = _
61 ÷ 100 = _
57.4 ÷ 100 = _
223 ÷ 1,000 = _
61 ÷ 1,000 = _
Estimate the quotient. q TEKS 5.3.A
6. 31.9 ÷ 4
7. 6.1 ÷ 8
8. 492.6 ÷ 48
Use models or strategies to divide. q TEKS 5.3.F, 5.3.G
© Houghton Mifflin Harcourt Publishing Company
9. 5)‾
4.35
10. 8)‾
9.92
11. 61)‾
207.4
Module 4
185
Fill in the bubble completely to show your answer.
TEXAS Test Prep
12. The Westside Bakery uses 440 pounds of sugar to make 1,000 cakes.
Each cake contains the same amount of sugar. How many pounds of
sugar does the bakery need if they bake only 100 cakes? q TEKS 5.3.G
A
4.4 pounds
B
0.44 pound
C
0.044 pound
D
44 pounds
13. Fourteen boxes of candles were sold for $91.00. Each box contains
5 candles. What is the cost of 1 candle? q TEKS 5.3.G
A
$1.30
B
$6.50
C
$13.00
D
$0.65
14. Jason has a piece of wire that is 62.4 inches long. He cuts the wire into
3 equal pieces. Which is the best estimate of the length of each
piece of wire? q TEKS 5.3.A
A
30 inches
B
3 inches
C
20 inches
D
2 inches
15. Elizabeth uses 33.75 ounces of granola for 15 servings of trail mix. If
186
A
18.75 ounces
B
2.25 ounces
C
0.225 ounce
D
33.9 ounces
© Houghton Mifflin Harcourt Publishing Company
each serving contains the same amount of granola, how much granola is
in each serving? q TEKS 5.3.G
Name
Unit 1 Assessment
Vocabulary
Vocabulary
Vocabulary
Choose the best term from the box.
Associative Property
1. The ____ states that changing the grouping of
factors does not change the product. (p. 5)
Commutative Property
inverse operations
2. Addition and subtraction are ____. (p. 41)
Concepts
Concepts and
and Skills
Skills
Compare. Write <, >, or =. q TEKS 5.2.B
3. 6.35
● 0.695
4. 0.02
● 0.020
5. 0.132
● 0.2
Estimate. Then solve. q TEKS 5.3.A, 5.3.B, 5.3.C
6. Estimate: _
365
× 24
__
7. Estimate: _
8. Estimate: _
616 ÷ 22
5,184 ÷ 18
Use models or strategies to find the product. Show your work. q TEKS 5.3.D, 5.3.E
9. 0.05 × 1.32
10. 23 × 5.28
11. 4.2 × 14.85
© Houghton Mifflin Harcourt Publishing Company
Use models or strategies to find the quotient. Show your work. q TEKS 5.3.F, 5.3.G
12. 3.6 ÷ 4
13. 16.24 ÷ 29
14. 96.72 ÷ 62
Unit 1
187
Fill in the bubble completely to show your answer.
TEXAS Test Prep
15. Kaya’s score in the gymnastics competition is 15.4 when rounded to the
nearest tenth. Which of the following is her actual score? q TEKS 5.2.C
A
15.333
B
15.496
C
15.395
D
15.349
16. A bakery uses 1,750 kilograms of flour to make 1,000 loaves of bread.
How much flour is needed to make 10 loaves? q TEKS 5.3.G
A
17.5 kilograms
B
175,000 kilograms
C
1.75 kilograms
D
175 kilograms
17. Maxine paints a mural that is 4.65 meters long. The width of the mural is
0.8 times the length. Maxine increases the width by another 0.5 meters.
How wide is the mural? q TEKS 5.3.E, 5.3.K
A
3.77 meters
B
37.2 meters
C
4.22 meters
D
3.72 meters
188
A
0.4 × 32 = 12.8
B
1.28 ÷ 4 = 0.32
C
0.32 ÷ 4 = 0.08
D
0.32 + 4 = 4.32
© Houghton Mifflin Harcourt Publishing Company
18. Juan uses the model below to solve a problem. Which of the following
equations matches Juan’s model? q TEKS 5.3.F
19. The price of a shirt is $26.50. The matching shorts are 0.9 times the
price of the shirt. If Li wants to buy the shirt and the shorts, how much
money will he need? q TEKS 5.3.E, 5.3.K
A
$238.50
B
$35.50
C
$23.85
D
$50.35
TEXAS Test Prep
20. Ali’s times for the four laps of the race are: 15.36 seconds, 15.95 seconds,
17.83 seconds, and 18.25 seconds. About how long did Ali take to
complete the whole race? q TEKS 5.3.A
A
47 seconds
B
18 seconds
C
15 seconds
D
67 seconds
21. Goran wants to build a square picture frame with sides that are
5.25 inches long. Natalie wants to build a square sandbox and needs
11 times the amount of wood that Goran needs to build his frame.
They have 4 pieces of wood that are each 65.5 inches long. How much
wood will they have left over after making the frame and sandbox?
q TEKS 5.3.E, 5.3.K
A
10 inches
B
2.5 inches
C
7.75 inches
D
Not here
22. Mustafa buys 6 cans of beans. Each can contains 12.6 ounces of beans.
© Houghton Mifflin Harcourt Publishing Company
Mustafa uses 0.7 of the beans in a stew and the rest of the beans for
tacos. How many ounces does he use for the tacos? q TEKS 5.3.E, 5.3.K
A
21 ounces
B
75.60 ounces
C
52.92 ounces
D
22.68 ounces
Unit 1
189
23. The scale at a butcher shop shows the weight of the meat as
5.363 pounds. The butcher rounds the weight to the nearest
hundredth. Which of the following shows the new number in
expanded form? q TEKS 5.2.A, 5.2.C
A
5 + 0.3 + 0.06 + 0.003
B
5 + 0.3 + 0.07
C
5 + 0.3 + 0.06
D
5+3+6+3
TEXAS Test Prep
24. The table shows the times recorded by the top 3 swimmers in the
100 meter race. What is the value of the digit 6 in the fastest
recorded time? q TEKS 5.2.A, 5.2.B
A
0.06
B
0.006
Alia
51.695 seconds
C
0.6
Robin
51.563 seconds
D
6
Anna
51.536 seconds
Swimming Times
25. Tickets to the school play cost $3.65 for children and $5.65 for adults.
Sonal buys tickets for 3 children and 2 adults. How much money should
she get back if she gives the cashier $50? q TEKS 5.3.E, 5.3.K
$39.05
B
$27.75
C
$26
D
$38.70
26. The prices for different beverages and snacks at a snack
stand in a park are shown in the table. Emily spent $8.11
on park snacks for her friends and herself. Make a list of
the items she may have purchased. Justify the amount
spent. q TEKS 5.3.K
190
Park Snacks
Item
Price
Fruit Juice
$0.89
Iced Tea
$1.29
Lemonade
$1.78
Pretzel
$2.50
Popcorn
$1.25
© Houghton Mifflin Harcourt Publishing Company
A