Date
Time
LESSON
Interpreting Remainders
64
For each number story:
Sample pictures and number models
are given.
Draw a picture.
Write a number model with a letter for the unknown.
Use a division algorithm to solve the problem.
Decide what to do about the remainder.
Record the answer and write a summary number model.
1.
Jackson is buying balloons for a party.
Balloons cost $6 per bunch. How many
bunches can he buy with $75?
Picture:
$6 $6 $6 $6
2.
Rosa is buying boxes to hold all 128 of her
CDs. Each box holds 5 CDs. How many
boxes are needed to store all of her CDs?
Picture:
$6 $6 $6 $6
$6 $6 $6 $6
Number model with unknown:
5
5
5
5
5
5
5
5
5
5
5
5
5555
5555
5555
5
3
Number model with unknown:
75 ÷ 6 = b
12 bunches
Answer:
128 ÷ 5 = b
26 boxes
Answer:
Summary number model:
Summary number model:
What did you do about the remainder?
Circle the answer.
What did you do about the remainder?
Circle the answer.
75 ÷ 6 ∑ 12 R3
128 ÷ 5 ∑ 25 R3
A.
Ignored it
A.
Ignored it
B.
Reported it as a fraction or decimal
B.
Reported it as a fraction or decimal
C.
Rounded the answer up
C.
Rounded the answer up
Why?
Sample answer: The
179
Why?
Sample answer: An
three dollars left isn’t enough
additional box was needed
to buy another bunch.
to store the remaining 3 CDs.
148
Date
Time
LESSON
Interpreting Remainders
64
3.
Lateefah won 188 candy bars in a raffle.
She decided to share them equally with 7
of her classmates and herself. How many
candy bars did each person receive?
Try This
Write each answer as a mixed number by
rewriting the remainder as a fraction.
1
13 R1
____
13
2
4. 2 27
_
Picture:
Sample picture:
8 equal groups
188
candy
bars
Number model with unknown:
188 ÷ 8 = c
_4 or 23 _1
23
8
2
Answer:
continued
88 R3
____
3
88 __
10
15 R12
____
12
15 __
16
5. 10 883
6. 16 252
Write each answer as a decimal.
19.5
7.
39 ÷ 2 = 19 R1
8.
183 ÷ 12 = 15 R3
15.25
9.
2,067 ÷ 5 = 413 R2
413.4
candy bars
Summary number model:
188 ÷ 8 ∑ 23 R4
What did you do about the remainder?
Circle the answer.
A.
Ignored it
B.
Reported it as a fraction or decimal
C.
Rounded the answer up
Why?
Sample answer: The
remaining 4 candy bars can
be cut into halves and shared
evenly among the 8 people.
149
Date
Time
LESSON
Math Boxes
64
1.
Joe ordered 72 plants for his patio garden.
Each pot holds 4 plants. How many pots
are needed to hold all of the plants?
pots
plants per
pot
total
plants
p
4
72
2.
Solve each open sentence.
a.
(6 + 9) + (3 ∗ A) = 30 A =
b.
24 ÷ 8 = 21 ÷ B
B=
c.
72 = (2 ∗ C) ∗ 9
C=
d.
6.2 + 0.79 = D
D=
e.
8.91 - E = 2.72
E=
5
7
4
6.99
6.19
Number model with unknown:
72 4 = p
18 pots
Answer:
Summary number model:
72 4 = 18
3.
178A
178B
35–37
148
Use a paper-and-pencil algorithm to add or subtract.
a.
0.37
+ 0.26
2.9
+ 5.01
b.
0.63
c.
7.91
6.79
- 6.55
d.
0.24
7.80
- 3.65
4.15
34–37
4.
How many centimeters are in 12 meters?
Circle the best answer.
5.
1
Circle the fractions equivalent to _
2.
8
_
5
_
6
_
2
_
12
_
8
_
16
A.
0.12
B.
1.2
C.
120
D.
1,200
3
129
150
6
24
12
15
51
Name
Date
STUDY LINK
64
1.
Time
Interpreting Remainders
Mrs. Patel brought a box of 124
strawberries to the party. She wants to
divide the strawberries evenly among
8 people. How many strawberries will each
person get?
2.
Mr. Chew has a box of 348
pens. He asks Maurice to
divide the pens into groups
of 16. How many groups
can Maurice make?
179
Picture:
Picture:
Number model with unknown:
Number model with unknown:
Answer:
Answer:
strawberries
groups
Summary number model:
What did you do about the remainder?
Circle the answer.
What did you do about the remainder?
Circle the answer.
A.
Ignored it
A.
Ignored it
B.
Reported it as a fraction or decimal
B.
Reported it as a fraction or decimal
C.
Rounded the answer up
C.
Rounded the answer up
Why?
Why?
Practice
3.
68 ÷ 7 =
4.
5.
468
_
9 =
6.
182
= 74 ÷ 4
___
3 95 =
Copyright © Wright Group/McGraw-Hill
Summary number model:
Name
Date
STUDY LINK
64
1.
Time
Interpreting Remainders
Sample pictures and number models are given.
Mrs. Patel brought a box of 124
strawberries to the party. She wants to
divide the strawberries evenly among
8 people. How many strawberries will each
person get?
Picture:
2.
Mr. Chew has a box of 348
pens. He asks Maurice to
divide the pens into groups
of 16. How many groups
can Maurice make?
Picture:
16 16 16 16 16
16 16 16 16 16
16 16 16 16 16
16 16 16 16 16 16
15 15 15 15
15 15 15 15
Number model with unknown:
Number model with unknown:
124 ÷ 8 = s
348 ÷ 16 = g
15 _8 , or 15 _2
4
Answer:
179
1
strawberries
Answer:
21
groups
Summary number model:
124 ÷ 8 ∑ 15 R4
348 ÷ 16 ∑ 21 R12
What did you do about the remainder?
Circle the answer.
What did you do about the remainder?
Circle the answer.
A.
Ignored it
A.
Ignored it
B.
Reported it as a fraction or decimal
B.
Reported it as a fraction or decimal
C.
Rounded the answer up
C.
Rounded the answer up
Sample answer: You can
cut the remaining strawberries
into halves.
Why?
Sample answer: There
aren’t enough remaining pens
to form another group of 16.
Why?
Practice
3.
68 ÷ 7 =
5.
468
_
9 =
182
9 R5
52
4.
6.
18 R2 = 74 ÷ 4
___
3 95 = 31 R2
Copyright © Wright Group/McGraw-Hill
Summary number model: