Name
Lesson 6.5
Problem Solving Workshop Skill:
Estimate or Find Exact Answer
Problem Solving Skill Practice
Tell whether you need an estimate or an exact answer. Then solve.
1. Serena is purchasing workout clothes in
2. Alberto is purchasing a basketball for
a sports store. Including tax, she is
purchasing shoes for $41.66, socks for
$3.49, gym shorts for $9.62, and a T-shirt
for $7.84. Serena has only $10 bills in her
wallet. How many $10 bills should she
give to the cashier for all her purchases?
3. Jessa needs $140 to buy a bicycle. She
$32.24 and a backboard with rim for
$118.24. Both prices include tax. He
gives the cashier eight $20 bills. How
much change should Alberto receive?
4. The apples Carl wants to buy range in
weight from 0.8 pound to 1.2 pounds.
How many pounds will 12 apples weigh?
saves $10 each week. She has already
saved $60. How many weeks from
now can Jessa buy the bicycle?
Mixed Applications
5. Tom has 21 flowering plants in white,
6. At noon, the temperature was 58°F. In
the next hour, the temperature rose 2°.
The hour after that, it rose 4°. During the
following hour the temperature rose 6°,
and the hour after that, it rose 8°. What
was the temperature at 1:00 P.M.?
pink, and lavender flowers. He has
2 more pink flowering plants than he
has lavender flowering plants. What is
the greatest possible number of white
flowering plants that Tom has?
7. Each chicken has 2 legs, and each
8. Pose a Problem Look back at Exercise 6.
cow has 4 legs. How many legs do
9 chickens and 23 cows have?
Write a similar problem by changing the
beginning temperature.
PW41
Practice
© Harcourt • Grade 5
Name
Lesson 6.5
Problem Solving Workshop Skill:
Estimate or Find Exact Answer
Name
Lesson 7.1
Model Multiplication by a Whole Number
Complete the multiplication expression for each model. Find the product.
Problem Solving Skill Practice
1.
2.
Tell whether you need an estimate or an exact answer. Then solve.
1. Serena is purchasing workout clothes in
2. Alberto is purchasing a basketball for
a sports store. Including tax, she is
purchasing shoes for $41.66, socks for
$3.49, gym shorts for $9.62, and a T-shirt
for $7.84. Serena has only $10 bills in her
wallet. How many $10 bills should she
give to the cashier for all her purchases?
$32.24 and a backboard with rim for
$118.24. Both prices include tax. He
gives the cashier eight $20 bills. How
much change should Alberto receive?
estimate; 7 tens
exact answer; $9.52
3. Jessa needs $140 to buy a bicycle. She
4. The apples Carl wants to buy range in
0.34 1.7
4
0.46
1.84
Use decimal models to find the product.
3. 0.27 6 1.62
4. 4 0.33 1.32
weight from 0.8 pound to 1.2 pounds.
How many pounds will 12 apples weigh?
saves $10 each week. She has already
saved $60. How many weeks from
now can Jessa buy the bicycle?
exact answer; 8 weeks
5
estimate; about 12 pounds
Mixed Applications
Find the product.
5. Tom has 21 flowering plants in white,
6. At noon, the temperature was 58°F. In
the next hour, the temperature rose 2°.
The hour after that, it rose 4°. During the
following hour the temperature rose 6°,
and the hour after that, it rose 8°. What
was the temperature at 1:00 P.M.?
pink, and lavender flowers. He has
2 more pink flowering plants than he
has lavender flowering plants. What is
the greatest possible number of white
flowering plants that Tom has?
15 white flowering plants
7. Each chicken has 2 legs, and each
5. 0.08 5
6. 0.29 4
0.4
8. 0.41 3
cow has 4 legs. How many legs do
9 chickens and 23 cows have?
1.23
Write a similar problem by changing the
beginning temperature.
11. 0.84 3
110 legs
Circled problems are suggested homework problems.
PW41
10. 5 0.57
2.85
2.19
12. 0.26 8
2.52
Check students’ work.
1.02
1.16
9. 3 0.73
60°F
8. Pose a Problem Look back at Exercise 6.
7. 0.17 6
13. 7 0.31
2.17
2.08
Circled problems are suggested homework problems.
Practice
Practice
PW42
© Harcourt • Grade 5
© Harcourt • Grade 5
Lesson 6.5
Item
Lesson 7.1
Suggested rationale
Item
Suggested rationale
1
use an estimate to solve a
word problem
1
read a decimal model
2
find an exact answer to solve
a word problem
2
read a decimal model
3
find an exact answer to solve
a word problem
4
model decimal multiplication
4
use an estimate to solve a
word problem
6
multiply decimal and whole
number
5
use logical reasoning to solve
a problem
8
multiply decimal and whole
number
6
use a pattern to solve a
problem
13
multiply decimal and whole
number
7
use the guess and check
strategy to solve a problem
8
pose a problem using
temperature
PW41-PW42
Practice
© Harcourt • Grade 5
MXENL08AWK5X_PHTE_RatA.indd PW41
7/2/07 3:01:15 PM