Problem Solving 4-1

Name
Date
LESSON
Class
Problem Solving
4-1 Estimating with Fractions
Write the correct answer.
1
2. Jorgé had 53 jugs of apple cider. He
5
used 26 jugs for a party. About how
much apple cider does he have left?
1. At the beach, Richard rides the
waves on a boogie board that is
2
1
33 feet long. Laura rides a 72-foot
surfboard. Estimate the difference
in length of the 2 boards.
3
7
3. Sari jogs 24 miles on Monday,
5
36 miles on Wednesday, and
4. Robert’s hand is 28 inches wide.
When Robert uses his hand to
estimate the width of his desk, he
3
finds that the desk is about 114
hands wide. About how many inches
wide is the desk?
1
23 miles on Friday. Estimate her
total distance for the week.
Choose the letter for the best answer.
This table shows the total amount of
snow to fall in 5 cities during 2003.
5. About how much snow all together fell
in the two cities in Illinois?
A 40 inches
C 44 inches
D 61 inches
B 41 inches
Snowfall During 2003
City
Chicago, IL
Indianapolis, IN
Marquette, MI
Moline, IL
Providence, RI
Amount of Snow
(in.)
6. About how much more snow fell in
Providence than in Indianapolis?
F 35 inches
H 15 inches
G 20 inches
J 10 inches
2
175
1
44
10
4
1915
4
235
9
58
10
7. Which city had about 11 times as
much snow as Chicago?
A Indianapolis
C Moline
D Providence
B Marquette
8. About how much more snow fell in
Indianapolis than in Moline?
H 24 inches
F 20 inches
G 22 inches
J 30 inches
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10
Holt Mathematics
Problem Solving
4-1 Estimating with Fractions
Challenge
4-1 Don’t Underestimate the Answer to a Riddle!
LESSON
LESSON
Write the correct answer.
Circle the fractions whose estimated sums, differences products, or
quotients equal the given solution. To find the answer to each riddle,
write the letters below the circled fractions in order in the blanks.
6
9
7
4
7
1
3
or 45 38 or 1. 8 11
1
10
2
H
E
11
M
3
5
I
P
G
6
6
9
4
2
16
1
or 5 or 7 or 4 5
3. 11
7
10
19
3
19
2
H
T
Y
E
3
1
HIGHER
education!
What kind of hair does the Atlantic Ocean have?
about 9 miles
1
9
5
1
9
or 4 6 or 6 11
4. 3
10
10
12
20
10
W
4
H
U
5
1
V
about 36 inches
Choose the letter for the best answer.
A
5. 87 69 or 68 15
1
6
This table shows the total amount of
snow to fall in 5 cities during 2003.
1
4 2
6. 23 or 1
13
10
R
Y
5
1
3
9
7. 48 or 68 8
10 or 12 10 48
T
S
T
R
1
7
3
11
6
8. 205 or 298 65 or 4
13
U
2
A
C
4
7
Amount of Snow
(in.)
City
What can go across the country and still stay in its corner?
175
Indianapolis, IN
44
10
Marquette, MI
1915
1
4
Providence, RI
ANSWER: A
7. Which city had about 11 times as
much snow as Chicago?
A Indianapolis
C Moline
D Providence
B Marquette
4
235
9
58
10
Moline, IL
M
6. About how much more snow fell in
Providence than in Indianapolis?
F 35 inches
H 15 inches
G 20 inches
J 10 inches
2
Chicago, IL
9. 635 85 or 69 7
P
5. About how much snow all together fell
in the two cities in Illinois?
A 40 inches
C 44 inches
D 61 inches
B 41 inches
Snowfall During 2003
T
WAVY
ANSWER:
4. Robert’s hand is 28 inches wide.
When Robert uses his hand to
estimate the width of his desk, he
3
finds that the desk is about 114
hands wide. About how many inches
wide is the desk?
23 miles on Friday. Estimate her
total distance for the week.
R
7
3. Sari jogs 24 miles on Monday,
5
36 miles on Wednesday, and
S
ANSWER: She wanted to get a
1
2
about 2 jugs
about 4 feet
6 or 4 1
2. 5
12
8
6
1
2. Jorgé had 53 jugs of apple cider. He
5
used 26 jugs for a party. About how
much apple cider does he have left?
1. At the beach, Richard rides the
waves on a boogie board that is
2
1
33 feet long. Laura rides a 72-foot
surfboard. Estimate the difference
in length of the 2 boards.
Why did the student go to school in an airplane?
8. About how much more snow fell in
Indianapolis than in Moline?
H 24 inches
F 20 inches
G 22 inches
J 30 inches
K
STAMP
9
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Reading Strategies
4-1 Analyze Information
LESSON
Estimate the answers. Then solve the riddle.
You can use some easy rules to help you estimate fractions.
If the numerator is much
smaller than the
denominator, round to 0.
Fractions Close to 0
If the numerator is about
half the value of the 1
denominator, round to 2 .
Fractions Close to 1
1
5
2
25
6
13
9
20
6
50
2
12
23
Fractions Close to 1
7
8
23
25
57
60
This can help you estimate sums and differences of fractions.
5
14
16
9
3
8
38 19
1
1
1 2
2
32 2 52
1
1
1
Write close to 0, close to 2, or close to 1 for each fraction.
1
2
close to 13
1. 2
5
9
2. 7
5
close to 0
7
3. 9
close to 1
14
4. 1
6
close to 1
3
5. 2
0
close to 0
1
6. 9
close to 0
7
7. close to 1
9
H
353 4
10
7
T
8
7
29 18
5
S
7
5
318 39
8
E
2
13
25 2
15
I
7
3
9
8
Y
3
6
5
7
F
47 53
A
84 65
L
1
8
157 109
R
2
5
12
6
5
6
1
2
1
12
1
3
25
1
3
26
1
Why are crabs so greedy?
T
H
E
Y
5
7
6
12
S
H
E
L
L
8
7
6
26
26
1
A
R
E
3
1
6
F
I
S
H
25
1
2
8
7
.
1
2
15
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters & Teasers
4-1 Math Makes Me Crabby!
LESSON
If the numerator and
denominator are close to the
same value, round to 1.
10
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
11
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
102
12
Holt Mathematics
Holt Mathematics