Name
2. Susana has $30. She plans to buy
a game that costs $16 and a game
that costs $11. How much money
will she have left over?
A $27
B $26
C $4
D $3
4. Round the number 45,446 to the
following places:
Ten:
Hundred:
Thousand
5. The distance from Michael’s house
to his grandmother’s house is
240 miles, round trip. If Michael
visits his grandmother 6 times
a year, how many miles does
he travel?
6. Write the next two numbers in
the pattern.
8, 16, 32,
,
© Pearson Education, Inc. 4
3. Mr. Horn, the band teacher, wants
to split the band into 4 equal
groups. There are 36 members in
the band. Which operation will help
him to quickly determine how many
students will be in each group?
A Addition
B Subtraction
C Multiplication
D Division
7-1
Daily Spiral Review 7-1
1. Micah collected shells on the
beach during her summer vacation.
If she collected 12 shells each day
of her 5-day vacation, how many
shells did she collect in all?
A 48
B 50
C 60
D 72
Daily Spiral Review
Topic 7
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21
1/29/08 3:33:34 PM
Name
2. Susana has $30. She plans to buy
a game that costs $16 and a game
that costs $11. How much money
will she have left over?
A $27
B $26
C $4
D $3
4. Round the number 45,446 to the
following places:
Ten:
Hundred:
Thousand
45,450
45,400
45,000
5. The distance from Michael’s house
to his grandmother’s house is
240 miles, round trip. If Michael
visits his grandmother 6 times
a year, how many miles does
he travel?
About 1,400 miles
6. Write the next two numbers in
the pattern.
8, 16, 32,
64 , 128
© Pearson Education, Inc. 4
3. Mr. Horn, the band teacher, wants
to split the band into 4 equal
groups. There are 36 members in
the band. Which operation will help
him to quickly determine how many
students will be in each group?
A Addition
B Subtraction
C Multiplication
D Division
7-1
Daily Spiral Review 7-1
1. Micah collected shells on the
beach during her summer vacation.
If she collected 12 shells each day
of her 5-day vacation, how many
shells did she collect in all?
A 48
B 50
C 60
D 72
Daily Spiral Review
Topic 7
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21
1/29/08 3:28:28 PM
22
Nat_AncTopic_7.indb 22
Problem of the Day 7-1
Topic 7
Problem
of the
Day
7-1
The zoo offers 5 boat tours and
8 train tours every day. How many
tours will the train have made when
the boat has made 35 tours?
(Hint: Make a table.)
7-1
Problem of the Day
1/29/08 3:33:35 PM
© Pearson Education, Inc. 4
Name
1. Every day, 600 people eat at
Franco’s diner. How many people
eat there in a week?
A 420
C 42,000
D 420,000
7-1
2. Each of the 90 fourth-grade
students at North Elementary
read 30 books over the school
year. How many books did they
read altogether?
A 27
Quick Check 7-1
B 4,200
Quick Check
B 270
C 2,700
D 27,000
3. There are 100 centimeters in a
meter. If a classroom is 8 meters
long, how long is it in centimeters?
A 80,000
B 8,000
C 800
D 80
© Pearson Education, Inc. 4
4. Writing to Explain Dominic claims that when he multiplied
40 ! 50 he got an answer of 200. Is Dominic correct?
Explain why or why not.
Topic 7
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23
1/29/08 3:33:35 PM
Name
1. Every day, 600 people eat at
Franco’s diner. How many people
eat there in a week?
A 420
C 42,000
D 420,000
7-1
2. Each of the 90 fourth-grade
students at North Elementary
read 30 books over the school
year. How many books did they
read altogether?
A 27
Quick Check 7-1
B 4,200
Quick Check
B 270
C 2,700
D 27,000
3. There are 100 centimeters in a
meter. If a classroom is 8 meters
long, how long is it in centimeters?
A 80,000
B 8,000
C 800
D 80
4. Writing to Explain Dominic claims that when he multiplied
40 ! 50 he got an answer of 200. Is Dominic correct?
Explain why or why not.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 7
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23
1/29/08 3:28:30 PM
Name
Reteaching
Using Mental Math to Multiply
2-Digit Numbers
7-1
You can multiply with mental math by using basic facts and patterns.
Reteaching 7-1
Example A:
5 ! 5 " 25
5 ! 50 " 250
The product contains the number of zeros in each factor.
Example B:
5 ! 6 " 30
5 ! 60 " 300
50 ! 60 " 3,000
50 ! 600 " 30,000
When the product of a basic fact includes a zero, such as
5 ! 6 " 30, that zero is not part of the pattern.
Multiply. Use mental math.
1. 20 ! 20 "
2. 50 ! 10 "
3. 40 ! 40 "
4. 30 ! 80 "
5. 60 ! 600 "
6. 50 ! 900 "
7. 70 ! 300 "
8. 70 ! 600 "
9. 40 ! 500 "
10. Number Sense Tell what numbers go in the blanks.
To find 90 ! 300, multiply
.
zeros at the end.
© Pearson Education, Inc. 4
Then write
and
24
Nat_AncTopic_7.indb 24
Topic 7
1/29/08 3:33:36 PM
Name
Reteaching
7-1
Using Mental Math to Multiply
2-Digit Numbers
You can multiply with mental math by using basic facts and patterns.
Reteaching 7-1
Example A:
5 ! 5 " 25
5 ! 50 " 250
The product contains the number of zeros in each factor.
Example B:
5 ! 6 " 30
5 ! 60 " 300
50 ! 60 " 3,000
50 ! 600 " 30,000
When the product of a basic fact includes a zero, such as
5 ! 6 " 30, that zero is not part of the pattern.
Multiply. Use mental math.
1. 20 ! 20 "
2. 50 ! 10 "
400
3. 40 ! 40 "
500
4. 30 ! 80 "
1,600
5. 60 ! 600 "
2,400
6. 50 ! 900 "
36,000
7. 70 ! 300 "
45,000
8. 70 ! 600 "
9. 40 ! 500 "
42,000
21,000
20,000
10. Number Sense Tell what numbers go in the blanks.
To find 90 ! 300, multiply
3
and
3
.
zeros at the end.
© Pearson Education, Inc. 4
Then write
9
24
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Topic 7
1/29/08 3:28:31 PM
Name
Practice
7-1
Using Mental Math to Multiply
2-Digit Numbers
Multiply. Use mental math.
2. 5 ! 90 "
3. 9 ! 200 "
4. 6 ! 500 "
5. 3 ! 600 "
6. 0 ! 600 "
7. 90 ! 70 "
8. 70 ! 400 "
9. 50 ! 800 "
10. 30 ! 800 "
11. 90 ! 500 "
Practice 7-1
1. 4 ! 30 "
12. 30 ! 4,000 "
13. Number Sense How many zeros are in the product of
60 ! 900? Explain how you know.
Truck A can haul 400 pounds in one trip. Truck B can haul
300 pounds in one trip.
14. How many pounds can Truck A haul in 9 trips?
15. How many pounds can Truck B haul in 50 trips?
16. How many pounds can Truck A haul in 70 trips?
A 280
B 2,800
C 28,000
D 280,000
© Pearson Education, Inc. 4
17. Writing to Explain There are 9 players on each basketball
team in a league. Explain how you can find the total number
of players in the league if there are 30 teams.
Topic 7
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25
1/29/08 3:33:37 PM
Name
Practice
7-1
Using Mental Math to Multiply
2-Digit Numbers
Multiply. Use mental math.
1. 4 ! 30 "
5. 3 ! 600 "
7. 90 ! 70 "
9. 50 ! 800 "
11. 90 ! 500 "
2. 5 ! 90 "
4. 6 ! 500 "
6. 0 ! 600 "
8. 70 ! 400 "
10. 30 ! 800 "
12. 30 ! 4,000 "
450
3,000
0
28,000
24,000
120,000
Practice 7-1
3. 9 ! 200 "
120
1,800
1,800
6,300
40,000
45,000
13. Number Sense How many zeros are in the product of
60 ! 900? Explain how you know.
There are three zeros, one from 60 and
two from 900.
Truck A can haul 400 pounds in one trip. Truck B can haul
300 pounds in one trip.
14. How many pounds can Truck A haul in 9 trips?
15. How many pounds can Truck B haul in 50 trips?
3,600 lb
15,000 lb
16. How many pounds can Truck A haul in 70 trips?
A 280
B 2,800
C 28,000
D 280,000
© Pearson Education, Inc. 4
17. Writing to Explain There are 9 players on each basketball
team in a league. Explain how you can find the total number
of players in the league if there are 30 teams.
Multiply the number of players on
each team by the number of teams in
the league. 9 ! 30 " 270 players.
Topic 7
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25
1/29/08 3:28:32 PM
Name
Enrichment
7-1
The World’s Greatest
1 min
!
60 sec
1 year
!
12 months
1h
!
60 min
1 decade
!
10 years
1 month
! 28–31 days
1 century
!
100 years
Mental Math
Enrichment 7-1
World’s sleepiest animal
1. A koala sleeps about 20 hours each day. How many
hours does it sleep in the month of June?
World’s number 1 milk drinking country
2. Each person in Ireland drinks about 700 cups of milk
each year. How many cups would each person drink
in 5 decades?
World’s fastest orbiting planet
3. Mercury orbits the sun in 88 days. The planet travels
about 30 miles in 1 sec. How far does the planet travel
in 1 minute?
World’s busiest airport
4. Hartsfield Atlanta International Airport in Georgia has
about 2,000 airplanes depart and arrive each day.
How many times do planes land and take off in April?
World’s coldest populated place
5. Norilsk is a small city in central Russia. The average
temperature is 12.4°F. The city has 5 months without
sunlight each year. How many months without sunlight
occur in 1 century?
6. The African elephant weighs about 14,000 pounds. It
eats about 50,000 pounds of twigs, foliage, grasses,
and fruit every 3 months. How many pounds of food
does it eat in 1 year?
26
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© Pearson Education, Inc. 4
World’s heaviest land mammal
Topic 7
1/29/08 3:33:37 PM
Name
Enrichment
7-1
The World’s Greatest
1 min
!
60 sec
1 year
!
12 months
1h
!
60 min
1 decade
!
10 years
1 month
! 28–31 days
1 century
!
100 years
Mental Math
Enrichment 7-1
World’s sleepiest animal
1. A koala sleeps about 20 hours each day. How many
hours does it sleep in the month of June?
600 h
World’s number 1 milk drinking country
2. Each person in Ireland drinks about 700 cups of milk
each year. How many cups would each person drink
in 5 decades?
35,000 c
World’s fastest orbiting planet
3. Mercury orbits the sun in 88 days. The planet travels
about 30 miles in 1 sec. How far does the planet travel
in 1 minute?
1,800 mi
World’s busiest airport
4. Hartsfield Atlanta International Airport in Georgia has
about 2,000 airplanes depart and arrive each day.
How many times do planes land and take off in April?
60,000 times
World’s coldest populated place
5. Norilsk is a small city in central Russia. The average
temperature is 12.4°F. The city has 5 months without
sunlight each year. How many months without sunlight
occur in 1 century?
500 months
6. The African elephant weighs about 14,000 pounds. It
eats about 50,000 pounds of twigs, foliage, grasses,
and fruit every 3 months. How many pounds of food
does it eat in 1 year?
26
Nat_AncTopic_7.indb 26
200,000 lb
© Pearson Education, Inc. 4
World’s heaviest land mammal
Topic 7
1/29/08 3:28:32 PM
Name
Daily Spiral Review
7-2
Noah is starting a pet-sitting business.
He made the chart below to show his
rates for different types of jobs.
Noah’s Pet-Sitting Service
Job
Rate
$10
$9
$8
$2
4. 4 ! 27 "
Partial products:
Daily Spiral Review 7-2
Dog Walking
Cleaning Bird Cages
Cleaning Litter Boxes
Feeding Fish
Find the partial products and the
product for Exercise 4.
Product:
Use the chart to answer Exercises 1–3.
1. If Noah walks 2 dogs each day,
how much money does he earn in
one week?
A $180
B $160
C $140
D $100
© Pearson Education, Inc. 4
2. Last Saturday, Noah walked
1 dog, cleaned 2 litter boxes, and
fed 5 fish. How much money did
Noah earn?
A $36
B $38
C $40
D $44
5. Put the following numbers in order
from least to greatest: 12,720;
12,718; 12,721; 12,684.
6. The principal at Tucker Elementary
wants to order T-shirts for each
student to wear on Field Day. There
are 6 grades of students at Tucker
Elementary. Each grade has almost
80 students. How many T-shirts
does the principal need to order?
3. Noah hopes to earn $72 by
cleaning out bird cages this week.
How many bird cages will Noah
have to clean to earn $72?
A 7
B 8
C 9
D 10
Topic 7
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27
1/29/08 3:33:38 PM
Name
Daily Spiral Review
7-2
Noah is starting a pet-sitting business.
He made the chart below to show his
rates for different types of jobs.
Noah’s Pet-Sitting Service
Job
Rate
$10
$9
$8
$2
4. 4 ! 27 "
4 ! 20 " 80
4 ! 7 " 28
Product: 108
Partial products:
Use the chart to answer Exercises 1–3.
1. If Noah walks 2 dogs each day,
how much money does he earn in
one week?
A $180
B $160
C $140
D $100
© Pearson Education, Inc. 4
2. Last Saturday, Noah walked
1 dog, cleaned 2 litter boxes, and
fed 5 fish. How much money did
Noah earn?
A $36
B $38
C $40
D $44
5. Put the following numbers in order
from least to greatest: 12,720;
12,718; 12,721; 12,684.
12,684; 12,718;
12,720; 12,721
Daily Spiral Review 7-2
Dog Walking
Cleaning Bird Cages
Cleaning Litter Boxes
Feeding Fish
Find the partial products and the
product for Exercise 4.
6. The principal at Tucker Elementary
wants to order T-shirts for each
student to wear on Field Day. There
are 6 grades of students at Tucker
Elementary. Each grade has almost
80 students. How many T-shirts
does the principal need to order?
480
3. Noah hopes to earn $72 by
cleaning out bird cages this week.
How many bird cages will Noah
have to clean to earn $72?
A 7
B 8
C 9
D 10
Topic 7
Nat_AncTopic_7.indb 27
27
1/29/08 3:28:33 PM
28
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Problem of the Day 7-2
Topic 7
Problem
of the
Day
7-2
Tell what operation. Solve.
7-2
1/29/08 3:33:39 PM
© Pearson Education, Inc. 4
Problem of the Day
Mr. Top is printing programs for the
seats at the dinner theater. There
are 50 tables that each seat 10
people. How many programs must
he print?
Name
1. Tyler read 94 pages a week. About
how many pages will he read in
45 weeks?
A 3,600
B 4,000
C 4,500
7-2
2. During a fundraiser, the
22 members of Ms. Holzman’s
class each raised about $28.00.
Approximately how much money
did the class raise altogether?
A $1,000
B $900
C $600
Quick Check 7-2
D 5,000
Quick Check
D $400
3. Annie drove for 15 hours. She drove 61 miles per hour. About
how far did Annie drive?
A 600
B 900
C 950
D 1,500
© Pearson Education, Inc. 4
4. Writing to Explain Why is it important to know how to
estimate? Name two specific real-life situations when you
might use estimation.
Topic 7
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29
1/29/08 3:33:39 PM
Name
1. Tyler read 94 pages a week. About
how many pages will he read in
45 weeks?
A 3,600
B 4,000
C 4,500
7-2
2. During a fundraiser, the
22 members of Ms. Holzman’s
class each raised about $28.00.
Approximately how much money
did the class raise altogether?
A $1,000
B $900
C $600
Quick Check 7-2
D 5,000
Quick Check
D $400
3. Annie drove for 15 hours. She drove 61 miles per hour. About
how far did Annie drive?
A 600
B 900
C 950
D 1,500
4. Writing to Explain Why is it important to know how to
estimate? Name two specific real-life situations when you
might use estimation.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 7
Nat_AncTopic_7.indb 29
29
1/29/08 3:28:38 PM
Name
Reteaching
7-2
Estimating Products
Estimate 11 ! 94.
Reteaching 7-2
Using rounding
Using compatible numbers
Round 11 to 10.
Replace 11 with 10.
Round 94 to 90.
Replace 94 with 100.
10 ! 90 " 900
10 ! 100 " 1,000
11 ! 94 is about 900.
11 ! 94 is about 1,000.
Use rounding to estimate each product.
1. 62 ! 82
2. 59 ! 48
3. 74 ! 302
4. 47 ! 790
5. 498 ! 63
6. 687 ! 38
7. 18 ! 412
8. 385 ! 75
9. 62 ! 147
10. 32 ! 83
11. 37 ! 22
12. 51 ! 296
13. 65 ! 34
14. 108 ! 81
15. 43 ! 620
16. 426 ! 71
17. 59 ! 701
18. 87 ! 87
19. Number Sense To estimate the product of 37 ! 99,
Chris multiplied 40 ! 100. Tell how you know if this is an
underestimate or an overestimate.
30
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© Pearson Education, Inc. 4
Use compatible numbers to estimate each product.
Topic 7
1/29/08 3:33:40 PM
Name
Reteaching
7-2
Estimating Products
Estimate 11 ! 94.
Reteaching 7-2
Using rounding
Using compatible numbers
Round 11 to 10.
Replace 11 with 10.
Round 94 to 90.
Replace 94 with 100.
10 ! 90 " 900
10 ! 100 " 1,000
11 ! 94 is about 900.
11 ! 94 is about 1,000.
Sample answers given for 1-18.
Use rounding to estimate each product.
1. 62 ! 82
2. 59 ! 48
3. 74 ! 302
4. 47 ! 790
5. 498 ! 63
6. 687 ! 38
7. 18 ! 412
8. 385 ! 75
9. 62 ! 147
4,800
40,000
8,000
3,000
30,000
32,000
21,000
28,000
9,000
Use compatible numbers to estimate each product.
10. 32 ! 83
11. 37 ! 22
12. 51 ! 296
13. 65 ! 34
14. 108 ! 81
15. 43 ! 620
16. 426 ! 71
17. 59 ! 701
18. 87 ! 87
2,100
28,000
800
8,800
42,000
15,000
24,000
8,100
19. Number Sense To estimate the product of 37 ! 99,
Chris multiplied 40 ! 100. Tell how you know if this is an
underestimate or an overestimate.
Overestimate, because both factors
were increased.
30
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© Pearson Education, Inc. 4
2,400
Topic 7
1/29/08 3:28:38 PM
Name
Practice
7-2
Estimating Products
Use rounding to estimate each product.
1. 38 ! 29
2. 71 ! 47
3. 54 ! 76
4. 121 ! 62
5. 548 ! 28
6. 823 ! 83
7. 67 ! 289
8. 183 ! 34
Practice 7-2
Use compatible numbers to estimate each product.
9. 28 ! 87
10. 673 ! 85
11. 54 ! 347
12. 65 ! 724
13. 81 ! 643
14. 44 ! 444
15. 72 ! 285
16. 61 ! 761
17. Vera has 8 boxes of paper clips. Each box has 275 paper
clips. About how many paper clips does Vera have?
A 240
B 1,600
C 2,400
D 24,000
© Pearson Education, Inc. 4
18. Writing to Explain A wind farm generates 330 kilowatts
of electricity each day. About how many kilowatts does the
wind farm produce in a week? Explain.
Topic 7
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31
1/29/08 3:33:41 PM
Name
Practice
7-2
Estimating Products Sample
Use rounding to estimate each product. answers given for 1–16.
3,500
1,200
1. 38 ! 29
2. 71 ! 47
4,000
3. 54 ! 76
4. 121 ! 62 7,200
5. 548 ! 28 15,000
6. 823 ! 83 64,000
7. 67 ! 289 21,000
8. 183 ! 34 6,000
9. 28 ! 87
11.
13.
15.
10. 673 ! 85
1,600–2,700
48,000–63,000
54 ! 347 15,000–24,00012. 65 ! 724 42,000–56,000
81 ! 643 48,000–63,00014. 44 ! 444 16,000–25,000
72 ! 285 14,000–24,00016. 61 ! 76142,000–56,000
Practice 7-2
Use compatible numbers to estimate each product.
17. Vera has 8 boxes of paper clips. Each box has 275 paper
clips. About how many paper clips does Vera have?
A 240
B 1,600
C 2,400
D 24,000
18. Writing to Explain A wind farm generates 330 kilowatts
of electricity each day. About how many kilowatts does the
wind farm produce in a week? Explain.
© Pearson Education, Inc. 4
About 2,100 kilowatts; 330 rounds to
300 and there are 7 days in a week, so
7 ! 300 " 2,100.
Topic 7
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31
1/29/08 3:28:40 PM
Name
Enrichment
7-2
Vacation Estimation
Mileage Between Cities
Estimation
Enrichment 7-2
Miami New York City Pittsburgh Washington, D.C.
Miami
New York City
–
1,328
1,328
–
1,250
386
1,101
229
Pittsburgh
Washington, D.C.
1,250
1,101
386
229
–
241
241
–
It is 9:00 A.M. Your family vacation starts in New York City with a final
destination in Miami. You travel 58 miles every hour if you do not stop
for meals or attractions. You first head to Washington, D.C.
1. You must stop for a 1 hour lunch at noon. Use rounding to estimate
how many miles you have traveled by noon.
2. Estimate how far away you are from Washington, D.C.
3. You arrive in Washington, D.C. You do some sightseeing, and at 5:00 P.M.
you continue your trip and drive until 7:00 P.M. You stop for dinner and rest
for the evening. Estimate how many miles you have driven for the day.
4. Your family starts the second day at 9:00 A.M. and drives until
8:00 P.M. During that time, you stopped for 2 hours. Estimate how
far you traveled for the day.
6. On the third day, about what time must you leave in the morning to get to
Miami around 5:00 P.M.? Remember, you will stop for a 1 hour lunch.
32
Nat_AncTopic_7.indb 32
© Pearson Education, Inc. 4
5. Estimate how far you are from Miami.
Topic 7
1/29/08 3:33:41 PM
Name
Enrichment
7-2
Vacation Estimation
Mileage Between Cities
Estimation
Miami New York City Pittsburgh Washington, D.C.
Enrichment 7-2
Miami
New York City
Pittsburgh
Washington, D.C.
–
1,328
1,250
1,101
1,328
–
386
229
1,250
386
–
241
1,101
229
241
–
Sample answers given for 1–6.
It is 9:00 A.M. Your family vacation starts in New York City with a final
destination in Miami. You travel 58 miles every hour if you do not stop
for meals or attractions. You first head to Washington, D.C.
1. You must stop for a 1 hour lunch at noon. Use rounding to estimate
how many miles you have traveled by noon.
About 180 mi
2. Estimate how far away you are from Washington, D.C.
About 50 mi
3. You arrive in Washington, D.C. You do some sightseeing, and at 5:00 P.M.
you continue your trip and drive until 7:00 P.M. You stop for dinner and rest
for the evening. Estimate how many miles you have driven for the day.
About 350 mi
4. Your family starts the second day at 9:00 A.M. and drives until
8:00 P.M. During that time, you stopped for 2 hours. Estimate how
far you traveled for the day.
About 540 mi
5. Estimate how far you are from Miami.
6. On the third day, about what time must you leave in the morning to get to
Miami around 5:00 P.M.? Remember, you will stop for a 1 hour lunch.
Between 7:00 and 8:00 A.M.
32
Nat_AncTopic_7.indb 32
© Pearson Education, Inc. 4
About 500 mi
Topic 7
1/29/08 3:28:41 PM
Name
Daily Spiral Review
7-3
Carla is keeping track of the number of
tomatoes that she picks in her garden.
The chart below shows the number of
tomatoes that she has picked each day
this week.
Day
Tomatoes Picked
Number of Tomatoes
6
4
Wednesday
Thursday
Friday
7
9
6
Use the chart to answer Exercises
1 and 2.
© Pearson Education, Inc. 4
1. What is the total number of
tomatoes that Carla has picked
so far this week?
A 30
B 31
C 32
D 33
4. Jorge went to the store with $200.
He bought a sweatshirt for $22
and shoes for $27. How much
money did he have left after those
purchases?
5. What are the next three numbers in
the following pattern?
6, 12, 18, 24,
,
,
Daily Spiral Review 7-3
Monday
Tuesday
3. Put the following numbers in order
from least to greatest:
274; 290; 234; 302; 220
6. Ted has 16 pigs on his farm. He
wants to put the same number of
pigs in each of his 4 pens. How
many pigs will he put in each pen?
2. The total number of tomatoes that
Carla has picked this summer is
4 times the number she picked
on Wednesday and Thursday
combined. How many tomatoes
has she picked this summer?
A 64
B 62
C 60
D 16
Topic 7
Nat_AncTopic_7.indb 33
33
1/29/08 3:33:42 PM
Name
Daily Spiral Review
7-3
Carla is keeping track of the number of
tomatoes that she picks in her garden.
The chart below shows the number of
tomatoes that she has picked each day
this week.
Day
Tomatoes Picked
Number of Tomatoes
6
4
7
9
6
Use the chart to answer Exercises
1 and 2.
© Pearson Education, Inc. 4
1. What is the total number of
tomatoes that Carla has picked
so far this week?
A 30
B 31
C 32
D 33
220, 234, 274, 290,
302
4. Jorge went to the store with $200.
He bought a sweatshirt for $22
and shoes for $27. How much
money did he have left after those
purchases?
$151
5. What are the next three numbers in
the following pattern?
6, 12, 18, 24,
30 , 36 , 42
Daily Spiral Review 7-3
Monday
Tuesday
Wednesday
Thursday
Friday
3. Put the following numbers in order
from least to greatest:
274; 290; 234; 302; 220
6. Ted has 16 pigs on his farm. He
wants to put the same number of
pigs in each of his 4 pens. How
many pigs will he put in each pen?
4
2. The total number of tomatoes that
Carla has picked this summer is
4 times the number she picked
on Wednesday and Thursday
combined. How many tomatoes
has she picked this summer?
A 64
B 62
C 60
D 16
Topic 7
Nat_AncTopic_7.indb 33
33
1/29/08 3:28:41 PM
34
Nat_AncTopic_7.indb 34
Problem of the Day 7-3
Topic 7
Problem
of the
Day
7-3
It takes Lorraine 48 minutes to drive
to and from her grandmother’s
house. About how many minutes
will she drive if she visits her
grandmother 12 times?
7-3
Problem of the Day
1/29/08 3:33:43 PM
© Pearson Education, Inc. 4
Name
Quick Check
7-3
1. The 27 students in Mr. Whitman’s
class each brought in 48 aluminum
cans during the class recycling
drive. How many aluminum
cans did Mr. Whitman’s class
collect altogether?
2. There are 29 students in Mrs.
Langley’s class. Each student does
35 math homework problems each
night. How many math problems
does the class do altogether in
one night?
A 1,015
B 1,296
B 955
C 1,396
C 815
D 2,296
D 775
Quick Check 7-3
A 1,286
3. Writing to Explain Molly had the following work on her paper:
40
80
3,200
6
240
2
160
12
© Pearson Education, Inc. 4
What multiplication problem is Molly trying to solve?
How do you know?
Topic 7
Nat_AncTopic_7.indb 35
35
1/29/08 3:33:43 PM
Name
Quick Check
7-3
1. The 27 students in Mr. Whitman’s
class each brought in 48 aluminum
cans during the class recycling
drive. How many aluminum
cans did Mr. Whitman’s class
collect altogether?
2. There are 29 students in Mrs.
Langley’s class. Each student does
35 math homework problems each
night. How many math problems
does the class do altogether in
one night?
A 1,015
B 1,296
B 955
C 1,396
C 815
D 2,296
D 775
Quick Check 7-3
A 1,286
3. Writing to Explain Molly had the following work on her paper:
40
80
3,200
6
240
2
160
12
What multiplication problem is Molly trying to solve?
How do you know?
© Pearson Education, Inc. 4
See student samples to the right.
Topic 7
Nat_AncTopic_7.indb 35
35
1/29/08 3:28:43 PM
Name
Reteaching
7-3
Arrays and an
Expanded Algorithm
Here is how to find the product of 12 ! 24 using an array.
Draw a rectangle 24 units long by 12 units wide.
Divide the rectangle by tens and ones for each factor. Find the
number of squares in each smaller square.
20
4
Reteaching 7-3
10 4 40
10
10 20 200
248
2
2 20 40
Then add the numbers of the squares in the four rectangles:
200 " 40 " 40 " 8 # 288
So, 12 ! 24 # 288.
Divide the rectangle by tens and ones for each factor. Then
complete the calculation.
22
1 1
© Pearson Education, Inc. 4
1.
36
Nat_AncTopic_7.indb 36
Topic 7
1/29/08 3:33:44 PM
Name
Reteaching
7-3
Arrays and an
Expanded Algorithm
Here is how to find the product of 12 ! 24 using an array.
Draw a rectangle 24 units long by 12 units wide.
Divide the rectangle by tens and ones for each factor. Find the
number of squares in each smaller square.
20
4
Reteaching 7-3
10 4 40
10
10 20 200
248
2
2 20 40
Then add the numbers of the squares in the four rectangles:
200 " 40 " 40 " 8 # 288
So, 12 ! 24 # 288.
Divide the rectangle by tens and ones for each factor. Then
complete the calculation.
2
2
! 2 0
2 4
36
Nat_AncTopic_7.indb 36
2
0
0
0
2
© Pearson Education, Inc. 4
22
1 1
1.
Topic 7
1/29/08 3:28:44 PM
Name
Practice
7-3
Arrays and an
Expanded Algorithm
Use the grid to help you complete the calculation.
1.
23
1 7
31
1 9
3.
26
2 2
4.
Practice 7-3
2.
33
1 4
6. 44 ! 48 "
5. 24 ! 57 "
7. A red kangaroo can cover 40 feet in 1 jump. How many
feet can the red kangaroo cover in 12 jumps?
8. Barb exercises for 14 hours in 1 week. How many hours does
she exercise in 32 weeks?
© Pearson Education, Inc. 4
A 496 h
B 448 h
C 420 h
D 324 h
9. Writing to Explain How is breaking apart the problem
16 ! 34 like solving four simpler problems?
Topic 7
Nat_AncTopic_7.indb 37
37
1/29/08 3:33:45 PM
Name
Practice
7-3
Arrays and an
Expanded Algorithm
Use the grid to help you complete the calculation.
1.
23
1 7
2.
5.
3.
31
1 9
9
2 7 0
1 0
! 3 0 0
5 8 9
24 ! 57 " 1,368
1
0
0
0
1
4.
26
2 2
1
4
1 2
! 4 0
5 7
2
0
0
0
2
6. 44 ! 48 "
33
1 4
1
1 2
3
! 3 0
4 6
2,112
7. A red kangaroo can cover 40 feet in 1 jump. How many
feet can the red kangaroo cover in 12 jumps?
Practice 7-3
2
1 4
3
! 2 0
3 9
2
0
0
0
2
480 ft
8. Barb exercises for 14 hours in 1 week. How many hours does
she exercise in 32 weeks?
© Pearson Education, Inc. 4
A 496 h
B 448 h
C 420 h
D 324 h
9. Writing to Explain How is breaking apart the problem
16 ! 34 like solving four simpler problems?
Nat_AncTopic_7.indb 37
Breaking apart makes four
problems with easier numbers.
Topic 7
37
1/29/08 3:28:46 PM
Name
Enrichment
7-3
Crazy Cubes
Write the letter of the cube that is not the same as the others
in the group. Each cube has 6 distinct faces.
1.
A
2.
A
B
C
Enrichment 7-3
D
A
B
C
D
E
F
A
B
C
D
E
F
© Pearson Education, Inc. 4
4.
D
C
B
3.
Reasoning
38
Nat_AncTopic_7.indb 38
Topic 7
1/29/08 3:33:46 PM
Name
Enrichment
7-3
Crazy Cubes
Write the letter of the cube that is not the same as the others
in the group. Each cube has 6 distinct faces.
1.
A
B
C
Reasoning
D
C
2.
A
C
Enrichment 7-3
B
D
C
3.
A
B
C
D
E
F
4.
A
B
C
D
E
F
E
38
Nat_AncTopic_7.indb 38
© Pearson Education, Inc. 4
F
Topic 7
1/29/08 3:28:48 PM
Name
1. Mallory went to the store with
$10.00. She bought a bottle of
shampoo for $3.25. How much
money did she have left?
A $7.75
B $7.25
C $6.75
D $5.75
7-4
4. What is the place value of the
underlined digit?
8,065,123
5. A number has a 7 in the tens place,
a 2 in the tenths place, a 1 in the
hundredths place, and a 0 in the
ones place. What is the number?
6. Lucy’s Diner ordered 4 boxes of
plastic forks. Each box contained
125 plastic forks. How many plastic
forks did Lucy’s Diner order?
Daily Spiral Review 7-4
2. Bill was counting off members of
his team by fours. The first number
he said was 4, then 8, and then 12.
What are the next three numbers in
the pattern?
A 15, 18, 21
B 14, 16, 18
C 16, 18, 20
D 16, 20, 24
Daily Spiral Review
© Pearson Education, Inc. 4
3. Doug and his mother are driving to
visit his uncle. They drive 271 miles
per day for 3 days. How many miles
do they drive altogether?
A 923 miles
B 813 miles
C 713 miles
D 621 miles
Topic 7
Nat_AncTopic_7.indb 39
39
1/29/08 3:33:47 PM
Name
1. Mallory went to the store with
$10.00. She bought a bottle of
shampoo for $3.25. How much
money did she have left?
A $7.75
B $7.25
C $6.75
D $5.75
7-4
4. What is the place value of the
underlined digit?
8,065,123
millions place
5. A number has a 7 in the tens place,
a 2 in the tenths place, a 1 in the
hundredths place, and a 0 in the
ones place. What is the number?
70.21
6. Lucy’s Diner ordered 4 boxes of
plastic forks. Each box contained
125 plastic forks. How many plastic
forks did Lucy’s Diner order?
500 plastic forks
Daily Spiral Review 7-4
2. Bill was counting off members of
his team by fours. The first number
he said was 4, then 8, and then 12.
What are the next three numbers in
the pattern?
A 15, 18, 21
B 14, 16, 18
C 16, 18, 20
D 16, 20, 24
Daily Spiral Review
© Pearson Education, Inc. 4
3. Doug and his mother are driving to
visit his uncle. They drive 271 miles
per day for 3 days. How many miles
do they drive altogether?
A 923 miles
B 813 miles
C 713 miles
D 621 miles
Topic 7
Nat_AncTopic_7.indb 39
39
1/29/08 3:28:49 PM
40
Nat_AncTopic_7.indb 40
Problem of the Day 7-4
Topic 7
Problem
of the
Day
7-4
7-4
Problem of the Day
What simpler
multiplication problems
can you use to
solve 46 ! 49?
1/29/08 3:33:48 PM
© Pearson Education, Inc. 4
Name
1. Marvin drinks 74 ounces of water
a day. How much water does he
drink over 40 days?
Quick Check
7-4
2. Lincoln can type 58 words a
minute. How many words can he
type in an hour?
A 2,860 ounces
A 3,420
B 2,880 ounces
B 3,480
C 2,960 ounces
C 3,980
D 2,980 ounces
D 4,980
3. 17 students each brought in 20
cookies for the school bake sale.
How many cookies were there at
the bake sale?
Quick Check 7-4
A 400
B 380
C 360
D 340
© Pearson Education, Inc. 4
4. Writing to Explain Use a grid to find the product of 29 ! 30.
Then, explain how you can use a grid to find partial products
and the product.
Topic 7
Nat_AncTopic_7.indb 41
41
1/29/08 3:33:48 PM
Name
1. Marvin drinks 74 ounces of water
a day. How much water does he
drink over 40 days?
Quick Check
7-4
2. Lincoln can type 58 words a
minute. How many words can he
type in an hour?
A 2,860 ounces
A 3,420
B 2,880 ounces
B 3,480
C 2,960 ounces
C 3,980
D 2,980 ounces
D 4,980
3. 17 students each brought in 20
cookies for the school bake sale.
How many cookies were there at
the bake sale?
Quick Check 7-4
A 400
B 380
C 360
D 340
4. Writing to Explain Use a grid to find the product of 29 ! 30.
Then, explain how you can use a grid to find partial products
and the product.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 7
Nat_AncTopic_7.indb 41
41
1/29/08 3:28:52 PM
Name
Reteaching
Multiplying 2-Digit Numbers by
Multiples of Ten
7-4
To find the product of 60 and 26, you can use breaking apart.
20
6
20
6
Mark off a section of a grid to show 60 ! 26.
Count the number of rows.
Count the number of squares in each row.
60
There are 60 rows.
There are 26 squares per row.
Reteaching 7-4
Draw a line to separate the factor 26 into the tens place and the
ones place. Show 26 as 20 " 6.
Into how many sections have you divided the larger section?
There are 2 sections. Mark one section
60 ! 20 and the other section 60 ! 6.
Multiply to find the products.
60 rows of 20
60 rows of 6
1,200
" 360
1,560
60 20 1,200
60 6 360
Add.
60
For Exercises 1 through 5, use grid models to break apart each
product and solve.
1. 23 ! 40
2. 16 ! 30
4. 60 ! 47
5. 17 ! 80
42
Nat_AncTopic_7.indb 42
© Pearson Education, Inc. 4
3. 34 ! 50
Topic 7
1/29/08 3:33:49 PM
Name
Reteaching
Multiplying 2-Digit Numbers by
Multiples of Ten
7-4
To find the product of 60 and 26, you can use breaking apart.
20
6
20
6
Mark off a section of a grid to show 60 ! 26.
Count the number of rows.
Count the number of squares in each row.
60
There are 60 rows.
There are 26 squares per row.
Reteaching 7-4
Draw a line to separate the factor 26 into the tens place and the
ones place. Show 26 as 20 " 6.
Into how many sections have you divided the larger section?
There are 2 sections. Mark one section
60 ! 20 and the other section 60 ! 6.
Multiply to find the products.
60 rows of 20
60 rows of 6
"
1,200
360
1,560
60 20 1,200
60 6 360
Add.
60
For Exercises 1 through 5, use grid models to break apart each
product and solve.
800 and 120; 920
300 and 180; 480
2. 16 ! 30
1,500 and 200; 1,700
3. 34 ! 50
2,400 and 420; 2,820
4. 60 ! 47
800 and 560; 1,360
5. 17 ! 80
Check students’ models.
42
Nat_AncTopic_7.indb 42
© Pearson Education, Inc. 4
1. 23 ! 40
Topic 7
1/29/08 3:28:53 PM
Name
Practice
7-4
Multiplying 2-Digit Numbers by
Multiples of Ten
Use the grid to show the partial products. Multiply to find the product.
1. 23 ! 50
2. 30 ! 82
80
50
20
20 50 1,000
3
3 50 150
4. 20 ! 63
4
60
20
40 4 160
3
Practice 7-4
40 10 400
40
30 80 2,400
30 2 60
3. 14 ! 40
10
30
2
20 60 1,200
20 3 60
Use compatible numbers to estimate each product.
5. Martika works as a legal secretary. She earns $20 an hour. How much
does Martika earn if she works 32 hours?
6. Which numbers are the partial products of 77 ! 30?
A 210 and 700
B 2,100 and 210
C 511 and 2,100
D 4,900 and 210
© Pearson Education, Inc. 4
7. Writing to Explain Explain how you can find the product of 40 ! 16
by breaking apart the numbers.
Topic 7
Nat_AncTopic_7.indb 43
43
1/29/08 3:33:50 PM
Name
Practice
7-4
Multiplying 2-Digit Numbers by
Multiples of Ten
Use the grid to show the partial products. Multiply to find the product.
1. 23 ! 50
2. 30 ! 82
80
50
20
20 50 1,000
3
3 50 150
1,000 " 150; 1,150
3. 14 ! 40
10
30 80 2,400
30
30 2 60
2,400 " 60; 2,460
4. 20 ! 63
4
60
20
40 4 160
3
Practice 7-4
40 10 400
40
2
20 60 1,200
20 3 60
400 " 160; 560
1,200 " 60; 1,260
Use compatible numbers to estimate each product.
5. Martika works as a legal secretary. She earns $20 an hour. How much
does Martika earn if she works 32 hours?
$640
6. Which numbers are the partial products of 77 ! 30?
A 210 and 700
B 2,100 and 210
C 511 and 2,100
D 4,900 and 210
© Pearson Education, Inc. 4
7. Writing to Explain Explain how you can find the product of 40 ! 16
by breaking apart the numbers.
Sample answer: To find the product of
40 ! 16, you can add 40 ! 10 to 40 ! 6.
40 ! 10 " 400 and 40 ! 6 " 240.
400 # 240 " 640
Topic 7
Nat_AncTopic_7.indb 43
43
1/29/08 3:28:55 PM
Name
Enrichment
7-4
A Finished Product!
Find each partial product. Then, use numbers from the
number sentences to complete the word sentences.
1. 30 ! 20 "
songs on her mp3 player.
30 ! 4 "
She added
30 ! 24 "
Now Marie has a total of
2. 60 ! 80 "
Enrichment 7-4
Marie had
Mental Math
more songs.
mp3 songs.
A sporting manufacturer shipped out
60 ! 3 "
bowling pins and
bowling balls to an
60 ! 83 "
alley. There were
items altogether.
3. 90 ! 70 "
The population of Desertvale was recorded at
in January. There were
90 ! 4 "
90 ! 74 "
4. 80 ! 80 "
80 ! 5 "
80 ! 85 "
5. 40 ! 50 "
more
people added in a year. The following January,
the population of Desertvale was
.
Jed estimated that there were
jellybeans in a jar. When the jellybeans were finally
counted Jed found there were actually
more. In fact, there were
jellybeans in all.
Now, create your own word sentences using the
number sentences in Exercise 5.
40 ! 52 "
44
Nat_AncTopic_7.indb 44
© Pearson Education, Inc. 4
40 ! 2 "
Topic 7
1/29/08 3:33:51 PM
Name
Enrichment
7-4
A Finished Product!
Find each partial product. Then, use numbers from the
number sentences to complete the word sentences.
4,800
60 ! 3 " 180
60 ! 83 " 4,980
Enrichment 7-4
2. 60 ! 80 "
6,300
90 ! 4 " 360
6,660
90 ! 74 "
3. 90 ! 70 "
6,400
80 ! 5 " 400
80 ! 85 " 6,800
4. 80 ! 80 "
2,000
80
40 ! 2 "
2,080
40 ! 52 "
5. 40 ! 50 "
44
Nat_AncTopic_7.indb 44
Marie had
She added
600
120
Now Marie has a total of
songs on her mp3 player.
more songs.
720
mp3 songs.
A sporting manufacturer shipped out
bowling pins and
alley. There were
180
4,980
4,800
bowling balls to an
items altogether.
The population of Desertvale was recorded at
6,300 in January. There were 360
more
people added in a year. The following January,
the population of Desertvale was
Jed estimated that there were
6,660
.
6,400
jellybeans in a jar. When the jellybeans were finally
counted Jed found there were actually
more. In fact, there were
400
6,800 jellybeans in all.
Now, create your own word sentences using the
number sentences in Exercise 5.
Check students’ sentences
© Pearson Education, Inc. 4
600
30 ! 4 " 120
30 ! 24 " 720
1. 30 ! 20 "
Mental Math
Topic 7
1/29/08 3:28:58 PM
Name
1. What is the number seven million,
three hundred fifty thousand,
nine hundred nine written in
standard form?
A 7,305,909
B 7,305,990
C 7,350,909
D 7,350,990
4. The school buses for King Philip
Elementary School carry 40
students per bus. The buses go
between 25 and 35 miles per hour
on the way to school. There are 12
buses that bring students to school
each day.
What piece of information is NOT
needed if you want to determine
how many students take the bus to
school each day?
5. It is approximately 3,000 miles
from New York City to Los Angeles.
Suppose a pilot travels between
New York and Los Angeles 6 times
in one week. About how many
miles did she travel?
© Pearson Education, Inc. 4
3. Doreen is organizing her CD
collection into bins. Each bin holds
25 CDs. Doreen has completely
filled 5 bins. How many CDs does
she have?
A 50
B 75
C 100
D 125
7-5
Daily Spiral Review 7-5
2. A basketball arena can hold
approximately 7,000 people. Fans
bought 5,134 tickets prior to the
game. About how many more
seats are there left to fill before
the game?
A 5,000
B 2,000
C 1,500
D 1,000
Daily Spiral Review
Topic 7
Nat_AncTopic_7.indb 45
45
1/29/08 3:33:52 PM
Name
1. What is the number seven million,
three hundred fifty thousand,
nine hundred nine written in
standard form?
A 7,305,909
B 7,305,990
C 7,350,909
D 7,350,990
4. The school buses for King Philip
Elementary School carry 40
students per bus. The buses go
between 25 and 35 miles per hour
on the way to school. There are 12
buses that bring students to school
each day.
What piece of information is NOT
needed if you want to determine
how many students take the bus to
school each day?
The buses go
between 25 and 35
miles per hour on
the way to school.
5. It is approximately 3,000 miles
from New York City to Los Angeles.
Suppose a pilot travels between
New York and Los Angeles 6 times
in one week. About how many
miles did she travel?
18,000 miles
© Pearson Education, Inc. 4
3. Doreen is organizing her CD
collection into bins. Each bin holds
25 CDs. Doreen has completely
filled 5 bins. How many CDs does
she have?
A 50
B 75
C 100
D 125
7-5
Daily Spiral Review 7-5
2. A basketball arena can hold
approximately 7,000 people. Fans
bought 5,134 tickets prior to the
game. About how many more
seats are there left to fill before
the game?
A 5,000
B 2,000
C 1,500
D 1,000
Daily Spiral Review
Topic 7
Nat_AncTopic_7.indb 45
45
1/29/08 3:28:59 PM
46
Nat_AncTopic_7.indb 46
Problem of the Day 7-5
Topic 7
Problem
of the
Day
7-5
3
Saturday
Sunday
7
4
7-5
1/29/08 3:33:52 PM
© Pearson Education, Inc. 4
Friday
Problem of the Day
Melanie earns $10 an hour babysitting. She
made a chart to show how many hours she
babysat last week. How much money did
Melanie earn last week? Write two number
sentences that you can use to solve this
problem.
Day
Hours of babysitting
Thursday
4
Then solve.
Name
1. Jacob reads 68 pages a night. How
many pages does Jacob read in a
month with 31 days?
A 2,108
B 2,208
C 2,618
D 2,868
Quick Check
7-5
2. Mrs. Jackson’s classroom is
24 feet by 22 feet. How many
square feet is her rectangular
classroom? Hint: The area of a
rectangle is length ! width.
A 628
B 620
C 538
D 528
3. Writing to Explain How is using partial products to find the
product of a 2-digit by 2-digit problem similar to how you
have used partial products in the past? How is it different?
© Pearson Education, Inc. 4
Quick Check 7-5
Topic 7
Nat_AncTopic_7.indb 47
47
1/29/08 3:33:53 PM
Name
1. Jacob reads 68 pages a night. How
many pages does Jacob read in a
month with 31 days?
A 2,108
B 2,208
C 2,618
D 2,868
Quick Check
7-5
2. Mrs. Jackson’s classroom is
24 feet by 22 feet. How many
square feet is her rectangular
classroom? Hint: The area of a
rectangle is length ! width.
A 628
B 620
C 538
D 528
3. Writing to Explain How is using partial products to find the
product of a 2-digit by 2-digit problem similar to how you
have used partial products in the past? How is it different?
See student samples to the right.
© Pearson Education, Inc. 4
Quick Check 7-5
Topic 7
Nat_AncTopic_7.indb 47
47
1/29/08 3:29:01 PM
Name
Reteaching
7-5
Multiplying 2-Digit by
2-Digit Numbers
There are 24 cars in the race. Each car has a 13-person crew in
the pit area. How many pit-area workers are at the race?
Reteaching 7-5
Step 1
Step 2
Multiply the ones.
Multiply the tens.
Regroup if necessary.
Regroup if necessary.
Step 3
Add the partial products.
1
1
1
24
13
72
24
13
72
240
24
13
72
240
312
24 13 312, so there
are 312 pit-area workers
at the race.
1.
38
! 26
2.
67
! 27
3.
47
! 85
4.
88
! 32
© Pearson Education, Inc. 4
5. Number Sense Corina multiplied 62 ! 22 and got a product
of 1,042. Explain why Corina’s answer is not reasonable.
48
Nat_AncTopic_7.indb 48
Topic 7
1/29/08 3:33:54 PM
Name
Reteaching
7-5
Multiplying 2-Digit by
2-Digit Numbers
There are 24 cars in the race. Each car has a 13-person crew in
the pit area. How many pit-area workers are at the race?
Reteaching 7-5
Step 1
Step 2
Multiply the ones.
Multiply the tens.
Regroup if necessary.
Regroup if necessary.
Step 3
Add the partial products.
1
1
1
24
13
72
24
13
72
240
24
13
72
240
312
24 13 312, so there
are 312 pit-area workers
at the race.
1.
38
! 26
988
2.
67
! 27
1,809
3.
47
! 85
3,995
4.
88
! 32
2,816
5. Number Sense Corina multiplied 62 ! 22 and got a product
of 1,042. Explain why Corina’s answer is not reasonable.
© Pearson Education, Inc. 4
Sample answer: Corina’s answer is
not reasonable because even when
both factors are rounded down, her
answer is still low.
48
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Topic 7
1/29/08 3:29:01 PM
Name
Practice
7-5
Multiplying 2-Digit by
2-Digit Numbers
1.
54
! 17
2.
36
! 20
3.
53
! 12
4.
48
! 46
5.
37
! 83
6.
62
! 17
7.
91
! 49
8.
28
! 56
9.
70
! 39
10.
58
! 90
11.
97
! 42
12.
64
! 88
13. A carton holds 24 bottles of juice. How many juice bottles are in 15 cartons?
15. How much do 18 bushels of
asparagus weigh?
Vegetable
Weight of 1 Bushel
Asparagus
Beets
Carrots
24 lb
52 lb
50 lb
Sweet corn
35 lb
Practice 7-5
14. How much do 21 bushels of
sweet corn weigh?
16. How much more do 13 bushels of beets weigh
than 13 bushels of carrots?
17. Which of the following is a reasonable answer for 92 ! 98?
© Pearson Education, Inc. 4
A 1,800
B 9,000
C 10,000
D 90,000
18. Writing to Explain Garth is multiplying 29 ! 16. He has
174 after multiplying the ones and 290 after multiplying
the tens. Explain how Garth can find the final product.
Topic 7
Nat_AncTopic_7.indb 49
49
1/29/08 3:33:54 PM
Name
Practice
7-5
Multiplying 2-Digit by
2-Digit Numbers
1.
54
! 17
2.
918
5.
9.
37
! 83
3.
36
! 20
720
6.
636
7.
62
! 17
3,071
1,054
70
! 39
10.
2,730
5,220
58
! 90
4.
53
! 12
2,208
8.
91
! 49
4,459
11.
48
! 46
28
! 56
1,568
97
! 42
12.
4,074
64
! 88
5,632
13. A carton holds 24 bottles of juice. How many juice bottles are in 15 cartons?
14. How much do 21 bushels of
sweet corn weigh?
735 lb
15. How much do 18 bushels of
asparagus weigh?
Vegetable
Weight of 1 Bushel
Asparagus
Beets
Carrots
Sweet corn
24 lb
52 lb
50 lb
35 lb
Practice 7-5
360 bottles of juice
432 lb
16. How much more do 13 bushels of beets weigh
than 13 bushels of carrots?
26 lb
17. Which of the following is a reasonable answer for 92 ! 98?
© Pearson Education, Inc. 4
A 1,800
B 9,000
C 10,000
18. Writing to Explain Garth is multiplying 29 ! 16. He has
174 after multiplying the ones and 290 after multiplying
the tens. Explain how Garth can find the final product.
D 90,000
Sample
answer:
Garth can add 174 and 290 to get 464.
Topic 7
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49
1/29/08 3:29:04 PM
Name
Enrichment
7-5
Food for Thought
You work at a pet shop. One of your jobs
is to feed all the animals. Answer the
questions below using the chart at the right.
First thing in the morning you feed the fish.
The 12 fish tanks have a total of 26 large fish.
You can choose between two kinds of pellets.
Enrichment 7-5
1. Which kind of pellets do you choose?
Estimate the number of pellets you need.
Explain your method.
Decision Making
Daily Feeding Chart
Fish
Puppies
10 super pellets each
or
21 mini pellets each
16 oz dry food each
or
14 oz wet food each
2. What is the exact amount?
You feed the puppies next. There are 10 cages of large-breed
puppies. Each cage can hold 3 puppies, but 2 of the cages only
have 2 puppies each. You need to decide which food to give the
puppies.
3. What kind of puppy food do you choose? Estimate the
amount of puppy food you need. Explain your method.
© Pearson Education, Inc. 4
4. What is the exact amount?
50
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Topic 7
1/29/08 3:33:55 PM
Name
Enrichment
7-5
Food for Thought
You work at a pet shop. One of your jobs
is to feed all the animals. Answer the
questions below using the chart at the right.
First thing in the morning you feed the fish.
The 12 fish tanks have a total of 26 large fish.
You can choose between two kinds of pellets.
1. Which kind of pellets do you choose?
Estimate the number of pellets you need.
Explain your method.
Decision Making
Daily Feeding Chart
Fish
Puppies
10 super pellets each
or
21 mini pellets each
16 oz dry food each
or
14 oz wet food each
Enrichment 7-5
Food choice and estimates vary; super
pellets, about 300; mini fish pellets,
about 600
2. What is the exact amount?
260 super pellets, 546 mini pellets
You feed the puppies next. There are 10 cages of large-breed
puppies. Each cage can hold 3 puppies, but 2 of the cages only
have 2 puppies each. You need to decide which food to give the
puppies.
3. What kind of puppy food do you choose? Estimate the
amount of puppy food you need. Explain your method.
Food choice and estimates vary;
600 oz of dry food; 300 oz of wet food
448 oz of dry food, 392 oz of wet food
50
Nat_AncTopic_7.indb 50
© Pearson Education, Inc. 4
4. What is the exact amount?
Topic 7
1/29/08 3:29:05 PM
Name
1. Luis’s family is going to the
amusement park. Tickets cost
$26 for each child. There are
7 children going. How much will
all of their tickets cost?
A $142
B $162
C $182
D $202
4. Round the number 40,538 to the
following places:
Ten:
Hundred:
Thousand:
5. Write the following number: four
hundred six million, seven hundred
seventy-eight thousand, thirty-nine.
6. Warren planted 7 rows of summer
squash in his garden. Each row
had 5 plants in it. How many
summer squash plants were there
in Warren’s garden?
7. Jodie drove 4 hours to visit her
grandmother. She averaged 60
miles per hour during her trip. How
many miles did Jodie travel to see
her grandmother?
© Pearson Education, Inc. 4
3. Pedro collects baseball cards. He
had 192. His friend Kevin gave him
267 more. His friend Shannon gave
him 212 more. How many baseball
cards does Pedro have now?
A 771
B 679
C 671
D 579
7-6
Daily Spiral Review 7-6
2. Traci wants to put the same
number of books on each shelf on
her bookcase. Which would be the
quickest operation to use to figure out
how many books go on each shelf?
A Addition
B Subtraction
C Multiplication
D Division
Daily Spiral Review
Topic 7
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51
1/29/08 3:33:56 PM
Name
1. Luis’s family is going to the
amusement park. Tickets cost
$26 for each child. There are
7 children going. How much will
all of their tickets cost?
A $142
B $162
C $182
D $202
4. Round the number 40,538 to the
following places:
Ten:
Hundred:
Thousand:
40,540
40,500
41,000
5. Write the following number: four
hundred six million, seven hundred
seventy-eight thousand, thirty-nine.
406,778,039
6. Warren planted 7 rows of summer
squash in his garden. Each row
had 5 plants in it. How many
summer squash plants were there
in Warren’s garden?
35
7. Jodie drove 4 hours to visit her
grandmother. She averaged 60
miles per hour during her trip. How
many miles did Jodie travel to see
her grandmother?
240
© Pearson Education, Inc. 4
3. Pedro collects baseball cards. He
had 192. His friend Kevin gave him
267 more. His friend Shannon gave
him 212 more. How many baseball
cards does Pedro have now?
A 771
B 679
C 671
D 579
7-6
Daily Spiral Review 7-6
2. Traci wants to put the same
number of books on each shelf on
her bookcase. Which would be the
quickest operation to use to figure out
how many books go on each shelf?
A Addition
B Subtraction
C Multiplication
D Division
Daily Spiral Review
Topic 7
Nat_AncTopic_7.indb 51
51
1/29/08 3:29:06 PM
52
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Problem of the Day 7-6
Topic 7
Problem
of the
Day
7-6
How much greater is the area of
Figure A than Figure B? To find the
area, multiply length times width.
12 in.
16 in.
7-6
Problem of the Day
14 in.
13 in.
Figure A
1/29/08 3:33:56 PM
© Pearson Education, Inc. 4
Figure B
Name
Quick Check
7-6
Multiply to find the product.
1. At the Computer City warehouse,
there are 50 cases of blank CDs.
Each case has 800 CDs in it.
How many CDs are there in the
warehouse?
A 4,000
B 40,000
C 45,000
2. Laura does 55 sit-ups a day.
How many sit-ups does she do
in 30 days?
A 1,650
B 1,550
C 165
D 155
D 400,000
3. Writing to Explain Why does it make sense to solve
multiplication problems with greater numbers the way it was
taught in this lesson rather than with arrays or grids?
© Pearson Education, Inc. 4
Quick Check 7-6
Topic 7
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53
1/29/08 3:33:57 PM
Name
Quick Check
7-6
Multiply to find the product.
1. At the Computer City warehouse,
there are 50 cases of blank CDs.
Each case has 800 CDs in it.
How many CDs are there in the
warehouse?
A 4,000
B 40,000
C 45,000
2. Laura does 55 sit-ups a day.
How many sit-ups does she do
in 30 days?
A 1,650
B 1,550
C 165
D 155
D 400,000
3. Writing to Explain Why does it make sense to solve
multiplication problems with greater numbers the way it was
taught in this lesson rather than with arrays or grids?
© Pearson Education, Inc. 4
Quick Check 7-6
See student samples to the right.
Topic 7
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53
1/29/08 3:29:08 PM
Name
Reteaching
7-6
Special Cases
Multiply 600 ! 40.
One Way
Another Way
Use a pattern.
600 40
6 4 24
60 4 240
600 4 2,400
600 40 24,000
1.
!
110
25
6 4 24
There are three zeros in the factors.
600 40
600 40 24,000
2.
!
500
40
3. 10,000
! 25
© Pearson Education, Inc. 4
Reteaching 7-6
4. Explain how to use mental math to find 3,000 ! 25.
54
Topic 7
28447_ANC-NATGR4_T7-6_working.in54 54
2/5/08 9:03:06 AM
Name
Reteaching
7-6
Special Cases
Multiply 600 ! 40.
One Way
Another Way
Use a pattern.
600 40
6 4 24
6 4 24
60 4 240
600 4 2,400
600 40 24,000
1.
!
110
25
2,750
There are three zeros in the factors.
600 40
600 40 24,000
2.
!
500
40
20,000
3. 10,000
! 25
250,000
4. Explain how to use mental math to find 3,000 ! 25.
© Pearson Education, Inc. 4
Reteaching 7-6
First multiply: 25 ! 3 " 75.
Then count the zeros from the
factors, and write them after 75.
3,000 ! 25 " 75,000.
54
Topic 7
28447_ANC-NATGR4_T7-6_working.in54 54
2/5/08 9:02:40 AM
Name
Practice
7-6
Special Cases
1.
200
30
2.
!
325
30
6.
!
800
15
10.
!
5.
9.
200
20
3.
!
800
70
7.
!
300
50
11.
!
300
25
4.
!
500
70
8.
!
600
50
12.
!
!
400
80
!
800
50
!
100
60
13. Number Sense Would the answer to 20 ! 500 have three
zeroes or 4? Explain.
14. How many pencils are in 30 boxes?
Supplies
Pencils
Pens
Pens
Practice 7-6
Use the table at right for problems 14 and 15.
PerBox
Box
Per
144
150
115
190
15. How many pens are in 200 boxes?
16. Hailey sold 120 bottles of water in 1 week. How many bottles
could she sell in 20 weeks?
© Pearson Education, Inc. 4
A 240
B 1,220
C 2,400
D 24,000
17. Writing to Explain How could you use the product of
10 ! 42 " 420 to find the product of 5 ! 42?
Topic 7
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55
1/29/08 3:33:58 PM
Name
Practice
7-6
Special Cases
1.
!
200
30
2.
!
6,000
5.
!
325
30
9,750
9.
!
800
15
12,000
200
20
3.
!
4,000
6.
!
800
70
56,000
10.
!
300
50
15,000
4.
300
25
!
7,500
7.
!
32,000
8.
500
70
!
35,000
11.
!
600
50
400
80
800
50
40,000
12.
!
30,000
100
60
6,000
13. Number Sense Would the answer to 20 ! 500 have three
zeroes or 4? Explain.
Use the table at right for problems 14 and 15.
14. How many pencils are in 30 boxes?
4,500 pencils
Supplies
Pencils
Pencils
Pens
Pens
Practice 7-6
4 zeroes because 2 ! 5 " 10 and that
gets three zeroes added to the end of it
to get 10,000.
PerBox
Box
Per
144
150
115
190
15. How many pens are in 200 boxes?
38,000 pens
16. Hailey sold 120 bottles of water in 1 week. How many bottles
could she sell in 20 weeks?
© Pearson Education, Inc. 4
A 240
B 1,220
C 2,400
D 24,000
17. Writing to Explain How could you use the product of
10 ! 42 " 420 to find the product of 5 ! 42?
The product of 5 ! 42 would be half
of 10 ! 42
Topic 7
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55
1/29/08 3:29:10 PM
Name
Enrichment
7-6
Treasure!
Benjamin is a treasure hunter. He and his crew recently
found the treasure of a sunken ship from the past. The
chests contained gold, silver, and jewels.
Number Sense
Treasure Found
Type of Chest
Weight of Each Chest Number of Each Chest
Gold
Silver
180 lb
150 lb
60
50
Jewels
120 lb
30
Benjamin’s ship can carry a maximum weight of 10,000 lb without
sinking.
1. What is the total weight of the gold chests?
Enrichment 7-6
2. What is the total weight of the silver chests?
3. What is the total weight of the jewel chests?
4. How many trips does Benjamin need to take to carry all of
the chests to shore? How do you know?
© Pearson Education, Inc. 4
5. Suppose Benjamin only carries gold chests on his last trip. If
Benjamin carried full loads on the first two trips, about how
many gold chests will he carry on the last trip?
56
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Topic 7
1/29/08 3:33:59 PM
Name
Enrichment
7-6
Treasure!
Benjamin is a treasure hunter. He and his crew recently
found the treasure of a sunken ship from the past. The
chests contained gold, silver, and jewels.
Number Sense
Treasure Found
Type of Chest
Gold
Silver
Jewels
Weight of Each Chest Number of Each Chest
180 lb
150 lb
120 lb
60
50
30
Enrichment 7-6
Benjamin’s ship can carry a maximum weight of 10,000 lb without
sinking.
1. What is the total weight of the gold chests?
10,800 lb
2. What is the total weight of the silver chests?
7,500 lb
3. What is the total weight of the jewel chests?
3,600 lb
4. How many trips does Benjamin need to take to carry all of
the chests to shore? How do you know?
3 trips; He has to carry a total of about
22,000 lb. On each trip he can only
carry up to 10,000 lb.
About 11 gold chests; He will have
about 2,000 lb left to carry on the
last trip.
56
Nat_AncTopic_7.indb 56
© Pearson Education, Inc. 4
5. Suppose Benjamin only carries gold chests on his last trip. If
Benjamin carried full loads on the first two trips, about how
many gold chests will he carry on the last trip?
Topic 7
1/29/08 3:29:11 PM
Name
Daily Spiral Review
7-7
1. Michelle has a spinner with five
equal-sized sections. Which of the
following is true?
5
1
4
3. Mark has 108 books. Erika has
211 books. Christina has 303
books. How many books do they
have altogether?
2
3
A It is likely Michelle will spin a 6.
B It is impossible for Michelle
to spin a 5.
C Michelle is likely to spin an
odd number.
D Michelle is certain to spin an
odd number.
8
8
B
36
12
12
C
5. Vasudha lives 83 miles from
Gabriella’s house. Rounded to the
nearest hundred, about how far
does Vasudha live from Gabriella?
6. There are 3 blue marbles, 6 red
marbles, and 2 green marbles in
a bag. What is the likelihood that
Javier will draw a yellow marble
from the bag without looking?
Daily Spiral Review 7-7
2. Andrew has 36 model airplanes.
The airplanes hang in groups of
6 from his ceiling. Which model
shows how many groups of 6
he has?
36
A
4. There are 12 houses in Carlos’s
neighborhood. Each house has
16 windows. How many windows
are there altogether?
12
36
9
9
D
9
9
36
6
6
6
6
6
© Pearson Education, Inc. 4
6
Topic 7
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57
1/29/08 3:34:00 PM
Name
Daily Spiral Review
7-7
1. Michelle has a spinner with five
equal-sized sections. Which of the
following is true?
5
1
4
3. Mark has 108 books. Erika has
211 books. Christina has 303
books. How many books do they
have altogether?
622
2
3
A It is likely Michelle will spin a 6.
B It is impossible for Michelle
to spin a 5.
C Michelle is likely to spin an
odd number.
D Michelle is certain to spin an
odd number.
8
8
B
12
C
5. Vasudha lives 83 miles from
Gabriella’s house. Rounded to the
nearest hundred, about how far
does Vasudha live from Gabriella?
100 miles
6. There are 3 blue marbles, 6 red
marbles, and 2 green marbles in
a bag. What is the likelihood that
Javier will draw a yellow marble
from the bag without looking?
impossible
36
12
192 windows
Daily Spiral Review 7-7
2. Andrew has 36 model airplanes.
The airplanes hang in groups of
6 from his ceiling. Which model
shows how many groups of 6
he has?
36
A
4. There are 12 houses in Carlos’s
neighborhood. Each house has
16 windows. How many windows
are there altogether?
12
36
9
9
D
9
9
36
6
6
6
6
6
© Pearson Education, Inc. 4
6
Topic 7
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57
1/29/08 3:29:12 PM
58
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Problem of the Day 7-7
Topic 7
Problem
of the
Day
7-7
Winston reads 124 pages a month
for 5 months. Lana reads 95 pages
a month for 7 months. Who reads
more?
7-7
Problem of the Day
1/29/08 3:34:01 PM
© Pearson Education, Inc. 4
Name
1. Doug spent 16 days at summer
camp. Each day he spent 4 hours
at arts and crafts. Each hour at arts
and crafts he made 3 drawings.
How many drawings did he make
while at summer camp?
A 192
Quick Check
7-7
2. Margo has 8 different kinds of tea
in her pantry. Each kind of tea is in
a different box, and there are
14 packets of tea in each box. Her
friend Liz has the same number
of tea packets. How many tea
packets do they have altogether?
B 112
A 112
C 48
B 168
D 12
C 224
D 448
3. Mr. Rivera teaches 6 classes per
day. Each class has 15 students.
At school he coaches the baseball
team. There are 12 students on the
baseball team that do not have
a class with him. How many
students does Mr. Rivera work with
each day?
4. There are 22 tables in the cafeteria.
Each table can sit 8 students.
There are 4 lunch periods each
day. How many students can the
cafeteria serve each day?
A 822
B 704
C 264
B 102
D 176
Center
7-7
Quick Activity
Check 7-7
A 90
C 162
D 180
© Pearson Education, Inc. 4
5. Writing to Explain Ernie spends 6 hours reading each
weekend. Ernie has 3 sisters. Each sister reads the same
amount Ernie does each weekend. How many hours do Ernie
and his sisters read combined?
Topic 7
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59
1/29/08 3:34:01 PM
Name
1. Doug spent 16 days at summer
camp. Each day he spent 4 hours
at arts and crafts. Each hour at arts
and crafts he made 3 drawings.
How many drawings did he make
while at summer camp?
A 192
Quick Check
7-7
2. Margo has 8 different kinds of tea
in her pantry. Each kind of tea is in
a different box, and there are
14 packets of tea in each box. Her
friend Liz has the same number
of tea packets. How many tea
packets do they have altogether?
B 112
A 112
C 48
B 168
D 12
C 224
D 448
3. Mr. Rivera teaches 6 classes per
day. Each class has 15 students.
At school he coaches the baseball
team. There are 12 students on the
baseball team that do not have
a class with him. How many
students does Mr. Rivera work with
each day?
4. There are 22 tables in the cafeteria.
Each table can sit 8 students.
There are 4 lunch periods each
day. How many students can the
cafeteria serve each day?
A 822
B 704
C 264
B 102
D 176
Center
7-7
Quick Activity
Check 7-7
A 90
C 162
D 180
5. Writing to Explain Ernie spends 6 hours reading each
weekend. Ernie has 3 sisters. Each sister reads the same
amount Ernie does each weekend. How many hours do Ernie
and his sisters read combined?
© Pearson Education, Inc. 4
See student samples to the right.
Topic 7
Nat_AncTopic_7.indb 59
59
1/29/08 3:29:15 PM
Name
Reteaching
7-7
Problem Solving:
Two-Question Problems
Read and Understand
Problem 1: Gina gave 3 sheets of paper to each of
the 12 students in her class. How many sheets of
paper did she give out?
Problem 2: Each sheet of paper had 3 paper clips
attached to it. How many paper clips did she give out?
Answer Problem 1 first.
? sheets of paper
12
12
12
12 students ! 3 sheets of paper " 36 sheets of paper
Gina gave out 36 sheets of paper.
Plan and Solve
Use the answer from Problem 1 to solve Problem 2.
? paper clips
36
36
36
36 sheets of paper ! 3 paper clips " 108 paper clips
Reteaching 7-7
Gina gave out 108 paper clips.
Solve. Use the answer from Problem 1 to solve Problem 2.
1. Problem 1: April made 16 baskets and glued 5 flowers on each one.
How many flowers did she use altogether?
Problem 2: Each flower April used had 8 petals. How many petals were
there on all the flowers she used?
Problem 2: Jorge washed the same number of cars in the fourth hour as he
did in the first three hours combined. How many cars did he wash altogether
in four hours?
60
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© Pearson Education, Inc. 4
2. Problem 1: Jorge washed cars for four hours on Saturday. In the first hour,
he washed 4 cars. In the second hour, he washed 9 cars. In the third hour, he
washed 12 cars. How many cars did he wash altogether in the first three hours?
Topic 7
1/29/08 3:34:02 PM
Name
Reteaching
7-7
Problem Solving:
Two-Question Problems
Read and Understand
Problem 1: Gina gave 3 sheets of paper to each of
the 12 students in her class. How many sheets of
paper did she give out?
Problem 2: Each sheet of paper had 3 paper clips
attached to it. How many paper clips did she give out?
Answer Problem 1 first.
? sheets of paper
12
12
12
12 students ! 3 sheets of paper " 36 sheets of paper
Gina gave out 36 sheets of paper.
Plan and Solve
Use the answer from Problem 1 to solve Problem 2.
? paper clips
36
36
36
36 sheets of paper ! 3 paper clips " 108 paper clips
Reteaching 7-7
Gina gave out 108 paper clips.
Solve. Use the answer from Problem 1 to solve Problem 2.
1. Problem 1: April made 16 baskets and glued 5 flowers on each one.
How many flowers did she use altogether?
Problem 2: Each flower April used had 8 petals. How many petals were
there on all the flowers she used?
80 flowers; 640 petals
Problem 2: Jorge washed the same number of cars in the fourth hour as he
did in the first three hours combined. How many cars did he wash altogether
in four hours?
25 cars; 50 cars
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2. Problem 1: Jorge washed cars for four hours on Saturday. In the first hour,
he washed 4 cars. In the second hour, he washed 9 cars. In the third hour, he
washed 12 cars. How many cars did he wash altogether in the first three hours?
Topic 7
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Name
Practice
7-7
Problem Solving:
Two-Question Problems
For 1 and 2, use the answer from the first problem to solve the
second problem.
1. Problem 1: Francisco reads 75 pages every week for a
summer reading program. If there are about 4 weeks in a
month, then how many pages can Francisco read in a month?
Problem 2: How many pages will Francisco read in the three
months of summer?
2. Problem 1: Mr. Dunn drives a 15-mile round trip every day
to work. If Mr. Dunn works five days a week how many miles
does he drive?
Problem 2: Mr. Dunn estimates he uses 3 gallons of gas over
the course of a week. How many miles per gallon does his
car get?
Practice 7-7
3. A company buys printer paper in a box which contains
8 packages. If each package of paper costs 3 dollars, how
much does a box of paper cost? Which equation shows how
much 12 boxes will cost?
A 8 ! 3 " 12
B 24 # 12
C 24 ! 12
D 24 " 12
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4. Writing to Explain There are 12 plots in a community
garden. What information would you need to know if you
wanted to know how much area can be farmed in the
community garden? Explain.
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Name
Practice
7-7
Problem Solving:
Two-Question Problems
For 1 and 2, use the answer from the first problem to solve the
second problem.
1. Problem 1: Francisco reads 75 pages every week for a
summer reading program. If there are about 4 weeks in a
month, then how many pages can Francisco read in a month?
Francisco can read 300 pages in a month.
Problem 2: How many pages will Francisco read in the three
months of summer?
Francisco will read 900 pages over
the summer.
2. Problem 1: Mr. Dunn drives a 15-mile round trip every day
to work. If Mr. Dunn works five days a week how many miles
does he drive?
Mr. Dunn drives 75 miles a week.
Problem 2: Mr. Dunn estimates he uses 3 gallons of gas over
the course of a week. How many miles per gallon does his
car get?
3. A company buys printer paper in a box which contains
8 packages. If each package of paper costs 3 dollars, how
much does a box of paper cost? Which equation shows how
much 12 boxes will cost?
A 8 ! 3 " 12
B 24 # 12
C 24 ! 12
Practice 7-7
Mr. Dunn’s car gets 25 miles per gallon.
D 24 " 12
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4. Writing to Explain There are 12 plots in a community
garden. What information would you need to know if you
wanted to know how much area can be farmed in the
community garden? Explain.
You would need to know the area of
one of the plots because you already
know the number of plots.
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Name
Enrichment
7-7
Something’s Missing
Find the missing number that makes the number sentence true.
1. 2,323 !
3. 123 $
2.
" 2,091
5.
! 9 " 825
6. 4 # 6 %
7.
$ 282 " 290
8. 759 #
9.
% 4 # 9 " 27
11. 3 # 4 %
13. 48 %
"6
$
# 10 " 100
4. 730 $
" 168
" 14
Reasoning
" 803
"8
"0
10. 16 !
$ 9 " 20
12. 690 #
" 690
14. 999 !
"0
15. Use each of the numbers in the box once to complete the number sentences.
%3"3
9
2
5
Enrichment 7-7
2#3"
8!
"3
6
# 5 " 10
Write some number sentences with missing operation signs.
Give them to a partner to solve.
16.
17.
18.
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19.
20.
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Topic 7
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Name
Enrichment
7-7
Something’s Missing
Find the missing number that makes the number sentence true.
232 " 2,091
3. 123 $ 45
" 168
5. 834 ! 9 " 825
7. 8
$ 282 " 290
9. 12
% 4 # 9 " 27
11. 3 # 4 % 2
"6
13. 48 % 8
$8
" 14
1. 2,323 !
2.
10
Reasoning
# 10 " 100
73 " 803
4#6%3
"8
759 # 0
"0
16 ! 5
$ 9 " 20
690 # 1
" 690
999 ! 999 " 0
4. 730 $
6.
8.
10.
12.
14.
15. Use each of the numbers in the box once to complete the number sentences.
9
%3"3
Enrichment 7-7
2#3"
8!
5
2
9
2
5
6
"3
6
# 5 " 10
Write some number sentences with missing operation signs.
Give them to a partner to solve.
16.
Check students’ work.
17.
18.
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19.
20.
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Topic 7
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Name
Topic 7
Multiple-Choice
Test
Mark the best answer.
1. To find 500 ! 800, Sean first
found 5 ! 8 " 40. How many
zeros should Sean include in the
product? (7-1)
A 320 and 200
B 220 and 2,000
A 0
C 320 and 2,000
B 1
D 320 and 2,008
C 3
D 5
2. There are forty-one chapters in
the book Ted has to read for class.
Each chapter is 38 pages long.
Which shows the best way to
estimate how many pages there
are in the entire book? (7-2)
A 30 ! 40
5. There are 12 inches in a foot. A
field at school is 360 feet long.
Which is the best estimate in
inches of the field? (7-2)
A 1,200
B 4,000
C 5,000
D 6,000
B 30 ! 50
6. The video store ordered 40 copies
of a new movie. Each copy has
3 DVDs. How many DVDs did the
video store order? (7-4)
C 40 ! 30
D 40 ! 40
3. Peter has 23 pages in his photo
album. Each page has 14 photos.
Peter is using the table below to
calculate how many photos he
has in his album. Which number
is missing from the table? (7-3)
20
10 200
4 80
4. Which partial products can be
used to find 40 ! 58? (7-5)
A 120
B 112
C 110
D 12
3
?
12
B 34
C 37
D 122
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Topic 7
Multiple-Choice Test
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A 30
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Name
Topic 7
Multiple-Choice
Test
Mark the best answer.
1. To find 500 ! 800, Sean first
found 5 ! 8 " 40. How many
zeros should Sean include in the
product? (7-1)
A 320 and 200
B 220 and 2,000
A 0
C 320 and 2,000
B 1
D 320 and 2,008
C 3
D 5
2. There are forty-one chapters in
the book Ted has to read for class.
Each chapter is 38 pages long.
Which shows the best way to
estimate how many pages there
are in the entire book? (7-2)
A 30 ! 40
5. There are 12 inches in a foot. A
field at school is 360 feet long.
Which is the best estimate in
inches of the field? (7-2)
A 1,200
B 4,000
C 5,000
D 6,000
B 30 ! 50
6. The video store ordered 40 copies
of a new movie. Each copy has
3 DVDs. How many DVDs did the
video store order? (7-4)
C 40 ! 30
D 40 ! 40
3. Peter has 23 pages in his photo
album. Each page has 14 photos.
Peter is using the table below to
calculate how many photos he
has in his album. Which number
is missing from the table? (7-3)
20
10 200
4 80
4. Which partial products can be
used to find 40 ! 58? (7-5)
A 120
B 112
C 110
D 12
3
?
12
B 34
C 37
D 122
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Topic 7
Multiple-Choice Test
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A 30
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Name
Topic 7
Free-Response Test
Give each answer.
Multiply using mental math.
Draw an array for each problem. Write
the partial products and solve.
1. 30 ! 80
9.
12
! 15
10.
18
! 13
2. 70 ! 40
3. 60 ! 500
4. 200 ! 90
Use rounding or compatible numbers
to estimate each product.
5. 62 ! 33
6. 48 ! 132
7. 302 ! 76
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Topic 7
Free-Response Test
8. 476 ! 89
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Topic 7
1/29/08 3:34:05 PM
Name
Topic 7
Free-Response Test
Give each answer.
Draw an array for each problem. Write
the partial products and solve.
1. 30 ! 80
2,400
9.
100
! 20
! 50
! 10
180
12
! 15
2. 70 ! 40
2,800
3. 60 ! 500
30,000
4. 200 ! 90
18,000
Use rounding or compatible numbers
to estimate each product.
100
50
20
10
100
! 80
! 30
! 24
234
5. 62 ! 33
1,800
10.
18
! 13
6. 48 ! 132
5,000 or 6,500
7. 302 ! 76
24,000
8. 476 ! 89
Topic 7
Free-Response Test
45,000
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100
30
80
24
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Multiply using mental math.
Topic 7
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Name
Topic 7
Performance
Assessment
Do the following to find the approximate and actual costs of your
textbooks as well as those of the entire class. The table shows
sample prices.
Type of
Textbook
Cost of One
Textbook
Science
$37
Social Studies
$39
Reading
$44
Language
$32
Mathematics
$45
Spelling
$25
Cost for Your Class
Students
Estimate
Actual
Total
1. Put a mark next to each textbook in the table that your class has. Cross out
the other textbooks. Find the total cost of your own textbooks. Write your
answer in the table.
2. Use the total cost of your textbooks to estimate the total cost of textbooks for
your entire class. Then find the actual cost. Write your answers in the table.
Explain how you estimated.
3. Estimate the cost of each type of book for your entire class. Record your
estimates in the table.
4. Find the actual cost of each type of book for your entire class to complete
the table.
© Pearson Education, Inc. 4
Topic 7
Performance Assessment
5. Use the estimates to decide whether or not the actual costs you found for
each book for the entire class are reasonable. Explain for one book.
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Topic 7
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Name
Topic 7
Performance
Assessment
Do the following to find the approximate and actual costs of your
textbooks as well as those of the entire class. The table shows
sample prices.
Type of
Textbook
Cost of One
Textbook
!
Science
$37
Social Studies
Reading
!
!
$44
Language
Mathematics
Spelling
Total
$39
Cost for Your Class
Students
Estimate
Actual
20
$800
$800
$900
$740
$780
$880
$900
$900
$3,400
$3,300
$32
!
$45
$25
$165
1. Put a mark next to each textbook in the table that your class has. Cross out
the other textbooks. Find the total cost of your own textbooks. Write your
answer in the table.
2. Use the total cost of your textbooks to estimate the total cost of textbooks for
your entire class. Then find the actual cost. Write your answers in the table.
Explain how you estimated.
I rounded $165 to $170 then multiplied
by 20.
3. Estimate the cost of each type of book for your entire class. Record your
estimates in the table.
4. Find the actual cost of each type of book for your entire class to complete
the table.
Yes, my actual costs for my class are reasonable
and close to my estimates. For example, my
estimate for the Reading textbooks was $900
and my actual cost was $880.
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Topic 7
Performance Assessment
5. Use the estimates to decide whether or not the actual costs you found for
each book for the entire class are reasonable. Explain for one book.
Topic 7
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