PMI 5th Grade – Unit 3 - Division
Divisibility
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Classwork
Using the Divisibility Rules, state if the number is divisible by 2, 3, 5, 6, 9 or 10.
1)86
2)35
3)10
4)100
5)66
6)84
7)396
8)4,215
9)3,694
10)40,160
Homework
Using the Divisibility Rules,state if the number is divisible by 2, 3, 5, 6, 9 or 10.
11)75
12)25
13)74
14)99
15)165
16)372
17)6,460
18)5,555
19)78,084
20)89,124
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Patterns in Multiplication & Division
Classwork
Solve the following problems.
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21)7 x 100 =
22)16 x 100 =
23)9 x 30 =
24)70 x 8,000 =
25)80 / 10 =
26)7000 / 100 =
27)490 / 7 =
28)7,200 / 80 =
29)100 x .24 =
30)8.09 x 10 =
31)62.8 / 10 =
32)$349 / 100 =
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Homework
Solve the following problems.
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33) 5 x 100 =
34)35 x 100 =
35)8 x 400 =
36)40 x 8,000 =
37)500 / 10 =
38)9000/100 =
39)300 / 60 =
40)16,000 / 200 =
41)100 x .86 =
42)5.27 x 10 =
43)73.2 / 10 =
44)$565 / 100 =
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45)A company has $36,000 to send its employees to a conference. The conference costs $6,000 for each employee who attends. How many employees can the company send to the conference?
46)Mason, an office manager, needs to order 180,000 paper clips for his company. If the clips come in boxes of 300, how many boxes should Mason order?
47)A university has $1,400,000 to send students to study abroad. The study abroad program costs $70,000 per student. How many students can the university send abroad?
48)A hotel has $630,000 to buy new pillows. If the cost of each pillow is $7, how many pillows can the hotel buy?
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Estimating Quotients
On another piece of paper, complete the division.
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Classwork
Estimate the quotients.
49)341 ÷ 8
50) 507 ÷ 9
51) 821 ÷ 7
52) 1,673 ÷ 3
53) 450 ÷ 5
54) 489 ÷ 17
55) 637 ÷ 31
56) 926 ÷ 39
57) 795 ÷ 65
58) 8,814 ÷ 43
Homework
Estimate the quotients.
59) 240 ÷ 6
60) 974 ÷ 9
61) 556 ÷ 5
62) 635 ÷ 9
63) 2,184 ÷ 7
64) 428 ÷ 21
65) 873 ÷ 84
66) 1,072 ÷ 52
67) 9,048 ÷ 24
68) 7,264 ÷ 31
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One Digit Division -No Remainders
On another piece of paper, complete the division.
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Classwork
Solve using an area model.
69)90 ÷ 3
70)80 ÷ 5
71)836 ÷ 2
72) 669 ÷ 3
Solve using the algorithm.
73)244 ÷ 2
74)412 ÷ 4
75)6,030 ÷ 3
76)4,383 ÷ 3
77)1,634 ÷ 2
78)6,759 ÷ 9
Homework
Solve using an area model.
79)70 ÷ 2
80)92 ÷ 2
81) 306 ÷ 2
82)492 ÷ 4
Solve using the algorithm.
83)525 ÷ 5
84)9,470 ÷ 2
85)4,372 ÷ 2
86)1,360 ÷ 4
87) 5,676 ÷ 6
88)1,730 ÷ 5
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One Digit Division -With Remainders
On another piece of paper, complete the division.
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Classwork
89)53 ÷ 3
90) 78 ÷ 4
91) 94 ÷ 9
92) 43 ÷ 4
93) 61 ÷ 3
94) 938 ÷ 4
95) 309 ÷ 2
96) 629 ÷ 8
97) 389 ÷ 9
98) 899 ÷ 3
Homework
99) 61 ÷ 5
100) 17 ÷ 4
101) 11 ÷ 6
102) 811 ÷ 2
103) 145 ÷ 7
104) 382 ÷ 9
105) 562 ÷ 7
106) 406 ÷ 6
107) 199 ÷ 4
108) 264 ÷ 7
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Two Digit Divison-Without Remainders
On another piece of paper, complete the division.
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Classwork
109)78 ÷ 13
110) 84 ÷ 12
111)108 ÷ 12
112)95 ÷ 19
113)98 ÷ 14
114)3,420 ÷ 57
115)1,247 ÷ 29
116)5,625 ÷ 25
117)374 ÷ 22
118)176 ÷ 16
Homework
119)68 ÷ 17
120)72 ÷ 18
121)91 ÷ 27
122)407 ÷ 37
123)702 ÷ 78
124)960 ÷ 48
125)468 ÷ 12
126)697 ÷ 17
127)912 ÷ 19
128)235 ÷ 47
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Two Digit Division-With Remainders
On another piece of paper, complete the division.
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Classwork
Solve using an area model.
129)84 ÷ 32
130)74 ÷ 16
131)75 ÷ 14
132)92 ÷ 15
Solve using the algorithm.
133)385 ÷ 70
134)405 ÷ 80
135)209 ÷ 82
136)522 ÷ 86
137)6,473 ÷ 61
138)3,230 ÷ 35
Homework
Solve using an area model.
139)80 ÷ 13
140)92 ÷ 12
141)84 ÷ 16
142)106 ÷ 41
Solve using the algorithm.
143)613 ÷ 69
144)966 ÷ 11
145)5,109 ÷ 85
146)5,458 ÷ 67
147)3,987 ÷ 56
148)6,320 ÷ 71
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Division of Decimals
Decimal Point Location
Put the decimal point in the correct location in the following answers.
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Classwork
149)19.26 ÷ 3 = 6 4 2
150)644.8 ÷ 8 = 8 0 6
151)2.22 ÷ 3 = 7 4
152)2.709 ÷ 9 = 3 0 1
153)686.7 ÷ 7 = 9 8 1
Homework
154)421.5 ÷ 5 = 8 4 3
155)4.86 ÷ 9 = 5 4
156)100.2 ÷ 6 = 1 6 7
157)191.6 ÷ 2 = 9 5 8
158)1.62 ÷ 3 = 5 4
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Decimal Divided by a Whole Number
On another piece of paper, complete the division.
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Classwork
159)34.2 ÷ 2 =
160)64.2 ÷ 3 =
161)19.26 ÷ 6 =
162)74.15 ÷ 5 =
163)329.4 ÷ 6 =
Homework
164)1.54 ÷ 7 =
165)5.838 ÷ 6 =
166)4.62 ÷ 3 =
167)7.716 ÷ 2 =
168)4.158 ÷ 9 =
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Zeros in the Quotient
On another piece of paper, complete the division.
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Classwork
169)0.545 ÷ 5 =
170)30.35 ÷ 5 =
171)144.04 ÷ 4 =
172)0.483 ÷ 7
173)0.246 ÷ 3 =
Homework
174)10.08 ÷ 2 =
175)344.56 ÷ 8 =
176)0.288 ÷ 4 =
177)0.246 ÷ 6 =
178)0.219 ÷ 3 =
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Putting Zeros on the end of the Dividend
On another piece of paper, complete the division.
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Classwork
179)2.64 ÷ 5 =
180)348.3 ÷ 6 =
181)$68 ÷ 8 =
182)$85 ÷ 3 =
183)$173 ÷ 7 =
Homework
184)17.5 ÷ 2 =
185)16.6 ÷ 4 =
186)$63 ÷ 5 =
187)$261 ÷ 4 =
188)$847 ÷ 9 =
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Decimal by Decimal Division
On another piece of paper, complete the division.
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Classwork
189)6.784 ÷ 0.4 =
190)36.45 ÷ 0.9 =
191)2.198 ÷ 0.07 =
192)37.51 ÷ 1.1 =
193)25.284 ÷ 0.007 =
Homework
194)3.966 ÷ 0.2 =
195) 5.724 ÷ 0.9 =
196)4.740 ÷ 0.06 =
197)0.2973 ÷ 0.003 =
198)4.71 ÷ 0.05 =
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Real Life Application Problems
Classwork
199)Frank mows lawns for extra money. If he mows 5 lawns in one hour, and has 30 lawns to mow, how long will it take him to mow all of them? Will it be 4 hours, 3 hours or 6 hours?
200)A class of 35 students weredivided into 5 equal groups. How many students are in each group? Will it be 8 students, 7 students or 6 students?
201)36 people need to ride the elevator to the top of the skyscraper. The elevator can hold 9 people at a time. How many trips will the elevator make?
202)Maho had 84 plastic cups. She arranged them in stacks with 12 cups in each stack. How many stacks did Maho need to make?
203)The cafeteria wants to buy 90 new forks. If each package contains 18 forks, how many packs should the cafeteria buy?
204)A farmer needs to ship 17 pumpkins to a grocery store. If each crate can hold 19 pumpkins, how many crates will the farmer need?
Homework
205)It cost $1.44 to buy two peaches. If the peaches all have the same price, how much does it cost to buy one peach?
206)Eight road maps cost $13.76, and the price of each map is the same. How much does each map cost?
207)The orchard produced 355 liters of fresh-squeezed orange juice over the course of 2 days. How much orange juice was produced each day, on average?
208)A pasta factory made 222 pounds of pasta in five minutes. How much pasta, on average, did the factory make each minute?
209)The mean average of the following 4 math scores will become your report card grade. Your scores are: 97, 78, 84, and 86. What will be your report card grade?
210)Six of the classes at your school are going to the pool for a swimming party. That means 125 students need to get on the buses, and each bus holds 48 students. How many buses will the school need?
Division Unit Review
Multiple Choice Questions
211) What number is the divisor in the problem 787 ÷ 74?
a. 787
b. 74
c. 10.6
d. 7
212)What number is the remainder of the division problem 351 ÷ 4?
a. 4
b. 3
c. 2
d. 0
213)What number is the dividend in the problem 900 ÷ 56?
a. 56
b. 4
c. 16.1
d. 900
214)What number is the quotient of the division problem 144 ÷ 9?
a. 16
b. 9
c. 144
d. 0
215)What is the estimated quotient of 458 ÷ 9?
a. 55
b. 60
c. 50
d. 40
216)What is the estimated quotient of 777 ÷ 12?
a. 50
b. 65
c. 60
d. 70
217)What is the estimated quotient of 1,000 ÷ 15?
a. 60
b. 50
c. 70
d. 65
218) $5.25 ÷ 4.2?
a. $12.50
b. $125.00
c. $0.13
d. $1.25
219)$4.75 ÷ 0.50?
a. $75.00
b. $0.75
c. $7.50
d. $0.50
220)$146.80 ÷ 40?
a. $4.00
b. $367.00
c. $36.70
d. $3.67
221)Leah and Tamika have 48 cookies altogether. If they split them in half, how many cookies would each girl have?
a. 12 cookies each
b. 24 cookies each
c. 48 cookies each
d. 4.8 cookies each
222)All 71 members of a soccer team are going on a field trip to Nationals. How many cars are needed if each car can hold 6 members?
a. 12 cars
b. 11 cars
c. 11.8 cars
d. 0 cars, go by boat
223)The number 108 is divisible by what two numbers?
a. 9 and 12
b. 9 and 8
c. 8 and 12
d. 10 and 8
224) The number 45 is divisible by what two numbers?
a. 3 and 4
b. 3 and 6
c. 9 and 5
d. 9 and 6
225)13 x 10 =
a. 130
b. 13.0
c. 1.3
d. 1,300
226)5.8 x 100 =
a. 58
b. 580
c. .58
d. .058
227)1.0 x 1,000 =
a. 10
b. 1
c. 100
d. 1,000
228)4,500÷ 10 =
a. 45
b. 450
c. 4.5
d. 45,000
229)36.2 ÷ 100 =
a. 3.62
b. 362
c. 0.362
d. .0362
230)10,000 ÷ 1,000 =
a. 1,000
b. 100
c. 10
d. 1
Short Constructed Response Questions
231)A soda company needs to ship 560,000 bottles to Texas’ grocery stores. The company can fit 8,000 bottles in each truck. How many trucks will the company need to use?
______
232)William visited his grandma 6 times last month. He drove 795 km in all. How far did William drive on each trip?
______
233)0.2808 ÷ 1.2 = ______
234)862 ÷ 4 = ______
235)11.5 ÷ 1.1 = ______
236)55.8 ÷ 9 = ______
237)5.6 ÷ 3.2 = ______
238)126.69 ÷ 8.2 = ______
239)108 ÷ 6 = ______
240)1,872 ÷ 36 = ______
Extended Construction Response Questions
241)The Ellen Show is hosting a concert in their studio for the fall season. The producer has invited 60 men, 54 women, 52 teenagers, and 62 children. Ellen wants her staff to set up chairs earlier in the week to prepare for this great event. She wants enough chairs so that everyone has a seat including the guests, her, and her five staff members on set. She plans to make rows of 20 chairs.
- How many chairs does her staff need all together?
- What is the least number of rows of chairs that they should set up?
- Draw a picture that shows how they could set up the chairs and the concert stage.
- How many chairs will NOT be filled?
242)Pick a number, multiply by 100, divide by 4.8, add 16, divide by 2. What is your remainder?
Answer Key
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Divisibility Rules
Classwork
1)2
2)5
3)2,5, 10
4)2,5,10
5)2,3,6
6)2,3,4,6
7)2,3,4,6,9
8)3,5
9)2
10)2,4,5,10
Homework
11)3,5
12)5
13)2
14)3,9
15)3,5
16)2,3,4,6
17)2,4,5,10
18)5
19)2,3,4,6
20)2,3,4,6
Patterns in Multiplication and Division
Classwork
21)700
22)1,600
23)270
24)560,000
25)8
26)70
27)70
28)90
29)24
30)80.9
31)6.28
32)$3.49
Homework
33)500
34)3,500
35)3,200
36)320,000
37)50
38)90
39)5
40)80
41)86
42)52.7
43)7.32
44)$5.65
45)6 employees
46)600 boxes
47)20 students
48)90,000 pillows
Estimating Quotients
Classwork
49) 40
50)50
51)100
52) 500
53)90
54)20
55)20
56)30
57)10
58)200
Homework
59)40
60)100
61)100
62)70
63)300
64)20
65)10
66)20
67)400
68)200
One Digit Division NO Remainders
Classwork
69)30
70)16
71)418
72)223
73) 122
74)103
75)2,010
76)1,461
77)817
78)751
Homework
79)35
80)46
81)153
82)123
83)105
84)4,735
85)2,186
86)340
87) 946
88)346
One Digit Division With Remainders
Homework
89)17 R 2
90)19 R 2
91)10 R 4
92)10 R 3
93)20 R 1
94)234 R 2
95)154 R 1
96)78 R 5
97)43 R 2
98)299 R 2
Homework
99)12 R 1
100) 4 R 1
101)1 R 5
102)405 R 1
103) 20 R 5
104)42 R 4
105)80 R 2
106) 67 R 4
107)49 R 3
108)37 R 5
Two digit Division-Without Remainders
Classwork
109)6
110)7
111)9
112) 5
113)7
114)60
115)43
116)225
117)17
118)11
Homework
119)4
120)4
121)3
122)11
123) 9
124)20
125)39
126)41
127)48
128) 5
Two Digit Division With Remainders
Classwork
129)2 R 20
130)4 R 10
131)5 R 5
132)6 R 2
133)5 R 35
134)5 R 5
135)2 R 45
136)6 R 6
137)106 R 7
138) 92 R 10
Homework
139) 6 R 2
140) 7 R 8
141) 5 R 4
142) 2 R 24
143)8 R 61
144) 87 R 9
145) 60 R 9
146) 81 R 31
147) 71 R 11
148)89 R 1
Decimal Operations Division
Decimal Point Location
Classwork
149)6.42
150)80.6
151)0.74
152)0.301
153)98.1
Homework
154)84.3
155)0.54
156)16.7
157)95.8
158)0.54
Decimal Divided by a Whole Number
Classwork
159)17.1
160)21.4
161)3.21
162)14.83
163)54.9
Homework
164)0.22
165)0.973
166)1.54
167)3.858
168)0.462
Zeros in the Quotient
Classwork
169)0.109
170)6.07
171)36.01
172)0.069
173)0.082
Homework
174)5.04
175)43.07
176)0.072
177)0.041
178)0.073
Putting Zeros on the end of the Dividend
Classwork
179)0.528
180)58.05
181)$8.50
182)$28.33
183)$24.71
Homework
184)8.75
185)4.15
186)$12.60
187)$65.25
188)$94.11
Decimal by Decimal Division
Classwork
189)16.96
190)40.5
191)31.4
192)34.1
193)3612
Homework
194)19.83
195)6.36
196)79
197)99.1
198)94.2
Real Life Application Problems
Classwork
199)6 hours
200)7 students
201)4 trips
202)7 stacks
203)5 packs
204)2 crates
Homework
205)$.72
206)$1.72
207)177.5 liters
208)44.4 pounds
209)86.25
210)3 buses
Unit Review
211)b
212)b
213)d
214)a
215)c
216)c
217)a
218)d
219)c
220)d
221)b
222)a
223)a
224)c
225)a
226)b
227)d
228)b
229)c
230)c
231)70 trucks
232)132.5 miles
233)0.234
234)215.5
235)10.45
236)6.2
237)1.75
238)15.45
239)18
240)52
241)a. 234 chairs
b. 12 rows
c. 20 x 12 array
d. 6 chairs
242)answers will vary
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