Problem Solving 4-3

Name
LESSON
Date
Class
Problem Solving
4-3 Adding and Subtracting Mixed Numbers
Write the correct answer.
1
3
1. A female gray whale is 454 feet long.
1
A male gray whale is 432 feet long.
How much longer is the female than
the male gray whale?
2. At birth, a pilot whale is 45 feet long.
1
A newborn gray whale is 154 feet
long. How much longer is the
newborn gray whale?
1
3. A manatee weighs 2 ton. A walrus
3
weighs 14 tons. A narwhal weighs
1
12 tons. What is the total weight of
all 3 animals?
4. A bottle-nosed dolphin can leap
1
158 feet out of the water. The world
record high jump for a human is
1
feet. How much higher can a
8
24
dolphin leap than a human?
Choose the letter for the best answer.
1
6. Jeremy walks 32 miles while visiting
a wildlife park. Shawna hikes a
3
48-mile long nature trail. How much
farther does Shawna walk?
5. At a wildlife park, the killer whale
5
show lasts 8 of an hour. The guided
1
tour of the park takes 22 hours. How
long will it take to do both activities?
1
3
F 8 of a mile
5
5
G 8 of a mile
5
7
H 8 of a mile
7
J 18 of a mile
A 38 hours
B 28 hours
C 38 hours
1
D 18 hours
1
7
8. A movie lasts 26 hours. A baseball
2
game lasts 33 hours. How much
longer does the game last?
7. Dog food comes in 58-pound bags
3
and 124-pound bags. Find the total
weight of 2 small and 1 large bags.
7
5
F 6 hours
1
G 16 hours
1
H 13 hours
3
J 12 hours
A 228 pounds
1
B 232 pounds
1
C 242 pounds
1
D 254 pounds
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
26
Holt Mathematics
Problem Solving
4-3 Adding and Subtracting Mixed Numbers
Challenge
4-3 Mixed Number Magic
LESSON
LESSON
In a magic square, each row, column, and diagonal has the
same sum. Fill in the missing numbers to complete each magic
square below.
Magic Square #1
1
26
26
5
71
2
7
18
1
62
1
43
1
1
51
2
2
1
12
83
1
94
34
1
48
11
2
22
4
17
32
4
13
24
34
1
Magic Square #1 sum:
1
3. A manatee weighs 2 ton. A walrus
3
weighs 14 tons. A narwhal weighs
1
12 tons. What is the total weight of
19
Choose the letter for the best answer.
Magic Square #4
1
1
1
42
1
72
1
102
18
18
7
28
12
12
9
3
3
8
24
1
1
Magic Square #3 sum:
5
Magic Square #4 sum:
1
58
Holt Mathematics
1
H 13 hours
1
J 12 hours
26
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters & Teasers
4-3 Reaching the Right Solutions!
Decide whether or not each equation is correct. Circle the
letters above your answers. Then answer the riddle.
2
1
3
3
1. 11
76 8
5
10
3
27
5
17
B
correct
incorrect
4
3
1
1
8
1
37 47
1
Use the problem above to answer each question.
1. What part of the mixed numbers should you add first?
fractions
2. What part of the mixed numbers should you add next?
integers
4
When you subtract mixed numbers, you use the same steps as
when you add them. However, when the step says add fractions or
integers, you will subtract.
1
1
correct
5. What is the second step in solving the problem?
7
4
9
correct
2
D
incorrect
1
1
15. 63 53 13
S
V
N
incorrect
correct
F
incorrect
1
8. 145 82 75
U
subtract fractions
8
incorrect
3
5
14. 19 49 59
G
P
3
correct
4. What is the first step in solving the problem?
H
incorrect
Why did the basketball player need long arms?
subtract integers
6. What is the answer of the problem?
3, or 31
2
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All rights reserved.
1
K
incorrect
correct
incorrect
7. 32 54 84
H
1
13. 33 28 68
J
1
correct
3
1
Use the problem 54 24 and the steps above to answer each
question.
27
1
H
incorrect
correct
A
6. 35 35 75
C
1
3
incorrect
2
3
12. 8 – 24 54
A
E
3
correct
S
incorrect
correct
incorrect
5. 64 84 14
X
yes
3. Do you need to simplify the sum?
1
2
correct
1
11. 66 51
122
0
L
A
incorrect
4. 73 85 165
Y
5
17
6
correct
3
correct
incorrect
10. 96 49 53
M
incorrect
4
Q
correct
1
3. 705 15 725
R
27
I
O
correct
3
3
9. 64 24 4
T
7
17
2. 19 1
1
8
Z
8
7
3
Step 2: Add integers.
27
5
17
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
G 16 hours
LESSON
5
2
4
1
1
B 232 pounds
1
C 242 pounds
3
D 254 pounds
To add mixed numbers that have fractions with common
denominators, follow these steps.
Step 3: Simplify.
5
F 6 hours
7
Reading Strategies
4-3 Follow a Procedure
3
1
8. A movie lasts 26 hours. A baseball
2
game lasts 33 hours. How much
longer does the game last?
A 228 pounds
LESSON
27 17
Step 1: Add fractions.
1
J 18 of a mile
7
168
25
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
7
H 8 of a mile
7. Dog food comes in 58-pound bags
3
and 124-pound bags. Find the total
weight of 2 small and 1 large bags.
7
What is the difference between these two magic sums?
5
G 8 of a mile
5
C 38 hours
7
D 18 hours
5
222
B 28 hours
5
3
4
38
3
1
3
F 8 of a mile
1
A 38 hours
3
12
1
6. Jeremy walks 32 miles while visiting
a wildlife park. Shawna hikes a
3
48-mile long nature trail. How much
farther does Shawna walk?
5. At a wildlife park, the killer whale
5
show lasts 8 of an hour. The guided
1
tour of the park takes 22 hours. How
long will it take to do both activities?
132
6
712 feet
4
1
Magic Square #3
1
33 tons
88
What is the difference between these two magic sums?
4. A bottle-nosed dolphin can leap
1
158 feet out of the water. The world
record high jump for a human is
1
82
feet. How much higher can a
4
dolphin leap than a human?
all 3 animals?
1
88
Magic Square #2 sum:
13
20
10 feet
4
1
164
2. At birth, a pilot whale is 45 feet long.
1
A newborn gray whale is 154 feet
long. How much longer is the
newborn gray whale?
13 feet
1
7
5
3
1. A female gray whale is 454 feet long.
1
A male gray whale is 432 feet long.
How much longer is the female than
the male gray whale?
Magic Square #2
3
1
43
Write the correct answer.
Holt Mathematics
T
O
H
I
R
S
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
106
E
A
C
H
H
A
N
D
28
S
.
Holt Mathematics
Holt Mathematics