Name
Lesson 1.1
Place Value Through Hundred Thousands
All dogs, kept as pets, need to be licensed. In 2005, there
were 38,015 dogs licensed with the city of Wichita, Kansas.
What is the value of the digit 8 in 38,015?
1. What are you asked to find?
2. How many ten thousands, thousands, hundreds, tens, and ones are in 38,015?
3. How would you write 38,015 in word form? in expanded form?
4. What is the value of the digit 8 in 38,015?
6. Sarah spends 1,301 minutes doing a
5. An organization donated 4,120 cans
of food to a shelter to help care for its
animals. What is the value of the digit
4 in 4,120?
puzzle. What is 1,301 written in
expanded form?
8. Challenge Last year, Jim and his
7. Challenge Marvin walks his
friends collected thirteen thousand,
two hundred forty-three bags of food
for a food drive. This year, they
collected the same number of bags as
last year. How many bags did Jim and
his friends collect over the past two
years? Write the number in word form.
neighbor’s dog after school. In one
year, Marvin took 125,112 steps. The
dog took twice that number of steps.
How many steps did Marvin and the
dog take in all? Write the number in
expanded form.
PS1
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.1
Place Value Through Hundred Thousands
Write each number in two other forms.
1. 50,000 1 3,000 1 700 1 5
2. eight hundred thousand, nine
hundred thirty-seven
3. 420,068
4. 78,641
5. 290,515
6. four hundred thirteen thousand,
one hundred eighty-nine
Write the value of the underlined digit in each number.
7. 705,239
8. 417,208
9. 914,325
10. 360,044
Problem Solving and ISTEP+ Test Prep
11. In 2005, there were 20,556 Bulldogs
12. In 2005, the Labrador Retriever was
registered in the American Kennel
Club. Write the number of registered
Bulldogs in two other forms.
13. What is the value of the digit 9 in
the most popular breed of dog in the
American Kennel Club, with 137,867
registered Labrador Retrievers. Write
137,867 in two other forms.
14. In February, eighty-five thousand, six
hundred thirteen people went to the
Westminster Dog Show. What is this
number in standard form?
390,215?
A
900
B
9,000
C
90,000
D 900,000
A 850,630
B
PW1
85,630
850,613
D 85,613
C
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.2
Model Millions
Each shaded box of the 10-by-10 grid below represents a stack of 1,000 books.
How many books does the shaded section of the grid represent?
1. What are you asked to find?
2. How many books do the 10 shaded boxes represent?
3. If one box of a grid represents 10,000 books, how many boxes
would represent 100,000 books? 1,000,000 books? Explain.
4. If one box of a grid represents 10,000 books, how many boxes
would represent 10,000,000 books? Explain.
5. Jo draws 1 circle to represent
6. Luis draws a square for every
100 people attending an event. How
100 candy bars sold by the baseball
many circles would Jo draw if
100,000 people attend the event?
team. How many candy bars were sold
if Luis draws 100 squares?
7. Challenge Nora and Seth use blocks
8. Challenge Collin uses one craft stick
to model penny amounts. Each block
represents 10,000 pennies. Nora’s
amount is 100,000. Seth’s amount is
10,000. How many more blocks does
Nora use than Seth uses?
to represent 100 cents. Marla uses
1 small rock to represent 1 dollar. Do
they use the same number of craft
sticks and small rocks to represent
10 dollars? Explain.
PS2
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.2
Model Millions
Solve.
1. How many hundreds are in 100,000?
2. How many thousands are in 10,000?
3. How many thousands are in 100,000?
4. How many hundreds are in 10,000?
5. How many tens are in
6. How many tens are in
10,000?
100,000?
Tell whether the number is large enough to
be in the millions or more. Write yes or no.
7. the number of people at a baseball
8. the distance in miles to the nearest
stadium for one game
star outside our solar system
9. the number of leaves on the trees in
10. the distance in feet across a
a forest
swimming pool
11. the number of cars people own in the
12. the number of trips a bus might make
United States
13. the number of bags of trash a family
in one day
14. the distance in miles from one city to
makes in one month
15. the number of fourth graders in the
another in your state
16. the number of miles from the Earth
world
17. the number of gallons of water in the
to Mars
18. the number of stars in the solar
ocean
system
Choose the number in which the digit 5 has the greater value.
19. 435,767 or 450,767
20. 1,510,000 or 1,501,000
21. 125,000 or 521,000
22. 2,435,003 or 2,430,500
23. 1,511,672 or 115,672
24. 40,005 or 350,400
25. 4,135,322 or 4,450,322
26. 35,000 or 350,000
PW2
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.3
Place Value Through Millions
If you could draw a straight line from one side of the sun to
the other, the length of that line would be 1,390,000 kilometers.
What is the value of the digit 3 in 1,390,000?
1. What are you asked to find?
2. How many millions, hundred thousands, ten thousands, thousands, hundreds, tens,
and ones are in 1,390,000?
3. How would you write 1,390,000 in word form? in expanded form?
4. What is the value of the digit 3 in 1,390,000?
6. An international space program will
5. Suppose 2,550,113 people watched
cost $31,460,122 to run per
quarter. Write the name of the
period that has the digits 460.
a space shuttle launch on television.
What is 2,550,113 written in
expanded form?
7. Challenge A survey suggests that
8. Challenge In a ten-year period, a
10,709,355 people would like to
telescope took 24,131,430 pictures
of space. If the telescope takes the
same amount of pictures during the
next 10 years, how many pictures will
have been taken over the 20-year
period? Write the number in
expanded form.
experience space travel. Of those
people, 10,024,341 think space
travel will open to the public in the
near future. How many of the people
surveyed do not think that space
travel will open to the public in the
near future? Circle the digit in the
thousands place in your answer.
PS3
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.3
Place Value Through Millions
Write each number in two other forms.
1. ninety-five million, three thousand,
2. eighty-five million, fifty-two thousand,
sixteen
one hundred eight
3. 57,340,015
4. 20,000,000 1 500,000 1 60,000 1
1,000 1 300 1 40
Use the number 78,024,593.
5. Write the name of the period that has
6. Write the digit in the ten millions
place.
the digits 24.
8. Write the name of the period that has
7. Write the value of the digit 8.
the digit 5.
Find the sum. Then write the answer in standard form.
9. 7 thousands 3 hundreds 4 ones 1 8 ten thousands 1 thousand 5 hundreds
Problem Solving and ISTEP+ Test Prep
10. The average distance from the Earth to
11. The average distance from the Earth
the Sun is 92,955,807 miles. What is
the value of the digit 2 in 92,955,807?
to the Sun is one hundred forty-nine
million, six hundred thousand
kilometers. Write this number in
standard form.
12. What is the value of the digit 8 in
407,380,510?
A 8,000,000
B 800,000
13. What is the value of the digit 4 in
43,902,655?
A
400,000
B 4,000,000
C 80,000
D
8,000
PW3
40,000,000
D 400,000,000
C
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.4
Compare Whole Numbers
Gabriel read that in one month 15,135 people visited Jewel Cave
in South Dakota and 15,110 people visited Lechuguilla Cave in
New Mexico. Which cave had more visitors in one month?
1. What are you asked to find?
2. How can you use the number line below to
compare the number of visitors to each cave?
15,100
15,105
15,110
15,115
15,120
15,125
15,130
15,135
15,140
3. Which cave had more visitors in one month?
4. Tara and James built structures using
5. Marcus calculated that he has been
blocks. Tara’s structure used 14,927
blocks and James’ structure used
14,934 blocks. Whose structure used
more blocks?
alive for 2,920 days. Barbara
calculated that she has been alive for
2,290 days. Which place value shows
you which person has been alive the
longest?
6. Challenge The fourth grade at Lincoln
7. Challenge Al thinks that the correct
order of the numbers 978; 1,002; and
3,000 from least to greatest is 1,002;
3,000; 978 because 1 is less than 3
and 3 is less than 9. What is Al’s
error? Explain.
Elementary School is donating three
boxes of books to the town library.
Each box contains 126 books. The
fifth grade is donating one box with
375 books. Which grade is donating
the greater number of books?
PS4
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.4
Compare Whole Numbers
Use the number line to compare. Write the lesser number.
3,500
3,600
3,700
1. 3,660 or 3,590
5,751
7. 74,288
4,000
3. 3,950 or 3,905
.
5. 6,810
74,288
10. 3,467,284
3,900
2. 3,707 or 3,777
Compare. Write <, >, or = for each
4. 5,155
3,800
6,279
8. 891,023
6. 45,166
806,321
481,105 11. 613,500
39,867
9. 673,219
73,551
1,611,311 12. 4,000,111
41,011
ALGEBRA Find all of the digits that can replace each j.
13. 781 , 78j
14. 2,4j5 . 2,465
15.
j,119 , 9,119
Problem Solving and ISTEP+ Test Prep
Use the table for 16–17.
Tallest Mountains
16. Which mountain is taller: Mt. Logan
or Mt. McKinley?
17. Which mountain is taller than
29,000 feet?
18. Which number is greatest?
Mountain
Height (in feet)
Everest
29,028
McKinley
20,320
Logan
19,551
19. Ernie wants to collect 140 books each
week for the school book drive. In each
of four weeks, he collected 147 books,
129 books, 163 books, and 142
books. Which number of books was
less than Ernie’s weekly goal?
A 34,544
304,544
C 43,450
D 345,144
B
A 147 books
B
PW4
163 books
129 books
D 142 books
C
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.5
Order Whole Numbers
Marty records the number of visitors to a national park on each of
three days: 1,236 people, 1,212 people, and 1,296 people. Order the
numbers of visitors to the national park from least to greatest.
1. What are you asked to do?
2. How would you use the number line below to order the number of visitors to the
national park from least to greatest?
1,200
1,210
1,220
1,230
1,240
1,250
1,260
1,270
1,280
1,290
1,300
3. What is the order of the number of visitors to the national park from least to
greatest?
4. Maria found the yearly attendance for
5. During the first week of October,
1,209 adults, 1,207 children, and
1,210 teenagers visited the Redwood
3 national parks. The first park had
98,714 visitors in one year. The
second park had 47,198 visitors in
one year. The third park had 89,417
visitors in one year. Order the
numbers from least to greatest.
National Park. Order the numbers of
people that visited the park from
greatest to least.
6. Challenge Ruth had 213 stickers.
7. Challenge Ann has taken 400,000
Gail had 10 fewer stickers than Ruth.
Mario had 2 more stickers than Gail.
Mrs. Nell gives 5 stickers each to
Mario and Gail. Order the names of
the children from the one that has
the least number of stickers to the
one that has the greatest number of
stickers.
30,000 8,000 steps while walking in
the park. June has taken 20,000
fewer steps than Ann. Tom has taken
10,000 more steps than June. Order
the numbers of steps from greatest
to least.
PS5
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.5
Order Whole Numbers
Write the numbers in order from greatest to least.
1. 74,421; 57,034; 58,925
2. 1,917,033; 1,805,567; 1,891,022
3. 3,409,351; 3,419,531; 3,417,011
4. 10,327,077; 1,025,998; 10,532,707
Write the numbers in order from least to greatest.
5. 2,621,456; 345,066; 421,456
6. $309,423; $305,125; $3,109,761
7. 3,358,190; 31,349,778; 13,897,455
8. 90,115; 9,115; 509,155
Problem Solving and ISTEP+ Test Prep
Use the table for 9–10.
9.
Which lake has the smallest area?
Largest Lakes
Lake
10. Write the names of the lakes in order
from least area to the greatest area.
11. Which shows the numbers in order
Area
(in square miles)
Victoria
26,828
Huron
23,000
Superior
31,700
Caspian Sea
143,244
12. Automobile sales for four weeks are
from greatest to least?
$179,384, $264,635, $228,775,
and $281,413. Which amount is
the greatest?
A 92,944; 92,299; 92,449
A $179,384
159,872; 159,728; 159,287
C 731,422; 731,242; 731,244
D 487,096; 487,609; 487,960
B $228,775
B
C $264,635
D $281,413
PW5
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.6
Problem Solving Workshop Strategy:
Use Logical Reasoning
Mona, Hilbert, Ty, and Becky are collecting box labels
for their school. The number of box labels they collect
are 493, 551, 707, and 785. Mona collects less than 500.
Ty collects more than 700. Hilbert collects more box labels
than Ty. How many box labels does each person collect?
1. What are you asked to find?
2. Use the information given in the problem to complete the table below. Write yes
or no, to tell whether that person could have collected the amount of box labels.
Mona
493
551
707
785
yes
no
no
no
Hilbert
Ty
Becky
3. How many box labels does each person collect?
Use logical reasoning to solve.
4. Margo, Jill, Kathy, Don, and Trisha are
5. Melanie, Maureen, and Doug went to
standing in the lunch line. Margo is
not first or last. Jill is behind Margo
but is not last. Kathy is in front of
Margo. Trisha is first in line. Don is
behind Trisha. In what order are they
standing in line?
Bernie’s house. Melanie arrived there
before Maureen. Melanie was not
first. Doug was not last. In what order
did the three arrive?
PS6
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.6
Problem Solving Workshop
Strategy: Use Logical Reasoning
Problem Solving Strategy Practice
Use logical reasoning to solve.
1. The stadium store sells team shirts on
2. Anton, Rachel, and Lamont each like
Friday, Saturday, and Sunday. The
numbers of shirts sold for three days
were 473, 618, and 556. The least
number of shirts were sold on a Friday.
More than 600 shirts were sold on
Saturday. How many shirts were sold
on Sunday?
different teams. The teams are the
Rugby Ghosts, the Yellow Bees, and
the Tan Cougars. Anton’s favorite team
does not have a color in its name.
Lamont does not like the Tan Cougars.
Which team does Rachel like?
Mixed Strategy Practice
3. Beth, Paulo, Lee, Maya, and Rob are
standing in line to get into the movies.
Beth is in front of Maya. Maya is not last
in line. Rob is first. Lee is after Maya.
Paulo is not last. In what order are they
standing in line? Make a model in the
box at the right to solve.
Use the information shown for 4–5.
4. Claire buys two items. She spends less
PW6
$3
$5
hockey stick. He already has $8 in his
savings. If he saves and adds $22 each
week to his savings, how many weeks will
it take to save $72?
4
5. Alex plans to save money to buy the
4
$7
9
$7
2
than $100 total. Which two items does
Claire buy?
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.7
Relate Addition and Subtraction
Ed swims 6 laps in one hour. His sister Sally swims
13 laps in one hour. How many more laps does
Sally swim than Ed swims in an hour?
1. What are you asked to find?
2. What related addition fact can you use to help solve this problem?
3. What is the fact family for this set of numbers?
4. How many more laps does Sally swim than Ed swims in an hour?
5. Ali does 7 more chin-ups than Wilma.
6. The soccer coach has 14 players on
Ali does a total of 15 chin-ups. How
many chin-ups does Wilma do? Write
a related fact to solve this problem.
the team. There are 9 players on the
field. How many players are not on
the field? Write a related fact to solve
this problem.
8. Challenge Juana and Sara want to
7. Challenge Karen wins a total of
jump rope for a combined total of
20 minutes. Juana jumps for 5 minutes
and Sara jumps for 11 minutes. How
many more minutes do Juana and
Sara need to jump? Show your work.
23 tennis games in three seasons.
She wins 8 games during the first
season and 7 games during the
second season. How many games
does Karen win during the third
season? Show your work.
PS7
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.7
Relate Addition and Subtraction
Write a related fact. Use it to complete the number sentence.
2758
1.
4. 8 1
2. 4 1
5 11
5.
2555
7.
5 13
6. 17 2
2458
8. 13 2
1 9 5 14
3.
55
59
1 7 5 16
9.
Write the fact family for each set of numbers.
10. 6, 8, 14
11. 7, 5, 12
12. 9, 6, 15
Problem Solving and ISTEP+ Test Prep
13. Byron can do 12 pull-ups. Marc can
14. Jim can do 16 pull-ups. Andy can do
do 7 pull-ups. How many more
pull-ups can Byron do than Marc?
What related facts can you use to
solve this problem?
11 pull-ups. Selma can do more pullups than Andy but fewer than Jim.
What are the possible number of
pull-ups that Selma could have done?
15. Which of the following sets of numbers
16. Which of the following sets of
cannot be used to make a
fact family?
numbers can be used to make a
fact family?
A 25, 10, 15
A 5, 6, 11
B
2, 2, 4
15, 9, 6
D 7, 3, 14
C
B
PW7
11, 12, 13
7, 6, 12
D 19, 9, 11
C
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.8
Round Whole Numbers
In 2000, the Unites States Census declared that the population
for the state of Indiana reached 6,080,485. What is this
number rounded to the nearest thousand?
1. What are you asked to do?
2. How can you use the number line below to round 6,080,485 to the nearest thousand?
6,080,000
6,080,500
6,081,000
3. Is 6,080,485 closer to 6,080,000 or 6,081,000?
4. What is 6,081,000 rounded to the nearest thousand?
5. Pascal takes 38,456 pictures while
6. A museum spends $74,701,900 to
on vacation. Write the number of
pictures Pascal takes to the nearest
hundred.
remodel two rooms. Round this
number to the nearest million.
7. Challenge The distance from Nova
8. Challenge At an art auction, a Picasso
Scotia to San Francisco is
3,079 miles. The distance from San
Francisco to Oahu is 2,399 miles.
Allen travels from Nova Scotia to
Oahu. To the nearest thousand, about
how many miles does Allen travel in
all? Show your work.
PS8
painting sold for $6,724,097 and a Van
Gogh painting sold for $6,483,874.
Round each number to the nearest
hundred thousand. Which painting sold
for more money: the Picasso or the
Van Gogh? Show your work.
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.8
Round Whole Numbers
Round each number to the place value of the underlined digit.
1. 7,803
2. $4,097
3. 23,672
4. 627,432
5. 34,809,516
6. 671,523,890
Round each number to the nearest ten, thousand,
hundred thousand, and million.
7. 6,086,341
8. 79,014,878
9. 821,460,934
Problem Solving and ISTEP+ Test Prep
Use the table for 10–11.
10. Which state has a population that
0OPULATIONOF3TATES
IN#ENSUS
rounds to 5,700,00?
3TATE
11. What is the population of Maryland
rounded to the nearest thousand?
12. Which number rounds to 45,000?
A 44,399
C
44,890
44,098
D
45,987
B
0OPULATION
-ARYLAND
4ENNESSEE
7ISCONSIN
13. To which place do you round to find
the rounded number that is closest
to 9,760,000?
PW8
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.9
Estimate Sums and Differences
One year, 9,013 Arctic terns flew to Antarctica for the winter. The
next year, 10,863 Arctic terns flew to Antarctica for the winter. About
how many Arctic terns flew to Antarctica during these two years?
1. What are you asked to find?
2. How would you estimate the number of Arctic terns that flew
to Antarctica during these two years?
3. What is 9,013 rounded to the nearest thousand?
4. What is 10,863 rounded to the nearest thousand?
5. About how many arctic terns flew to Antarctica during these two years?
7. One group of birds traveled
6. Last year, 5,147 chicks were born.
13,742 miles. Another group traveled
8,925 miles. About how many more
This year, 7,932 chicks were born.
About how many chicks were born in
the last two years in all?
miles did the first group of birds
travel than the second group of birds
traveled?
8. Challenge Barkman Middle School is
9. Challenge Carl travels 2,008 miles
holding a two-year fund raising drive.
Their goal is to raise $25,000 total for
both years. Last year, the school raised
$12,563. So far this year, the school
has raised $9,171. About how much
more money does the school need to
raise so that they can meet their goal?
PS9
one week and 3,439 miles the next
week. Louis travels 1,927 miles one
week and 4,205 miles the next week.
Altogether, about how many more
miles does Louis travel than Carl
travels?
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.9
Mental Math: Estimate Sums and Differences
Use rounding to estimate.
1.
6,356
1 1,675
__
5.
6,285
1 2,167
__
2.
2.
8,267
22,761
__
6.
318,707
1 278,392
___
4.
75,428
2 19,577
__
7,835
1 4,519
__
8.
8,932
2 5,341
__
214,655
1 501,683
___
12.
7.
2,819
2 1,786
__
Use front-end estimation to estimate.
9.
187
1
519
__
10.
11.
6,489
2 1,807
__
61,075
2 29,732
__
Use compatible numbers to estimate.
13. 5,432 2 652
14. 45,221 1 6,167
15. 392 1 47 1 89
Problem Solving and ISTEP+ Test Prep
16. Steve travels abroad to visit a friend
17. A train travels 5,742 miles this week. Last
and then comes back home. He travels
10,945 miles one way. About how far
does Steve travel round trip?
18. A plane flies 13,867 miles in one week.
week it traveled 1,623 fewer miles than
this week. About how many miles did the
train travel last week?
19. Last month, Chad sold 522 CDs at his store.
The next week it flies 9,276 miles. Which
is the best estimate of how many miles
the plane flew in these two weeks?
This month, he sold 167 more CDs than last
month. About how many CDs in all did
Chad sell this month and last month?
23,000 miles
B 40,000 miles
C 15,000 miles
D 16,000 miles
about 300
B about 400
C about 500
D about 700
A
A
PW9
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.10
Add and Subtract 3-Digit and 4-Digit Numbers
A group of scientists spends 4,098 hours observing the behavior
of monarch butterflies. They spend another 2,135 hours writing
about their observations. How many hours do the scientists
spend on observing and writing about monarch butterflies in all?
1. What are you asked to find?
2. How can you use place value to find the number of hours in all?
3. Show how you would solve the problem. What is your answer?
4. Ana guides two migration watch
5. A total of 4,651 monarch butterflies
groups. Each group consists of
1,486 people. How many people
does Ana guide in all?
flew south from Canada for the
winter. Of these, 3,903 stayed in
Southern California. How many
monarch butterflies did not stay in
Southern California?
6. Challenge Olivia’s stamp collection
7. Challenge Mara has two rock
consists of 5,520 stamps. There are
2,076 butterfly stamps and
1,121 whale stamps. How many
stamps are not of butterflies or whales?
PS10
collections that each have 4,005
rocks. She gives 2,763 rocks to her
little brother. How many rocks does
Mara have left?
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.10
Add and Subtract 3-Digit and
4-Digit Numbers
Estimate. Then find the sum or difference.
1.
414
784
2.
1
727
__
3.
5,305
1
848
__
4.
7,322
2
616
__
7.
8,452
2
2,621
__
8.
9,344
2
5,667
__
2
149
__
5.
2,673
1
4,548
__
9.
4,955
1 978
__
10.
9,999
2
901
__
11.
7,593
1
1,475
__
12.
8,891
2
1,490
__
13.
3,069
1
956
__
14.
6,560
2
5,699
__
15.
1,948
2
1,052
__
16.
7,326
1
2,673
__
19.
,689
2
726
__
3,963
20.
6.
3,357
1
1,219
__
Find the missing digit.
17.
9 8
7,895
18.
1
247
__
1,175
2
1,23
__
6,661
1,357
1
7 6
__
2,113
Problem Solving and ISTEP+ Test Prep
21. Jan drove 324 miles on Monday, then
22. A baseball team scores 759 runs in a
483 miles on Tuesday. How many miles
season. The next season the team
scores 823 runs. How many runs does
the team score in all?
did Jan drive in all?
23. An airplane will fly a total of
24. There are 5,873 soccer fans at the
4,080 miles this trip. The plane has flown
1,576 miles so far. How many more miles
will the plane fly this trip?
first game. There are 3,985 fans at the
second game. How many more fans
are at the first game?
A 2,504
A 1,758
B 2,514
C 2,594
D 5,656
B 1,988
C 2,642
D 9,858
PW10
Practice
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.11
Add and Subtract 5-Digit Numbers
A group of astronomers spends 11,127 hours observing the
universe. They spend another 12,584 hours writing about their
observations. How many hours do the astronomers spend on
observing and writing about the universe in all?
1. What are you asked to find?
2. How can you use place value to find the number of hours in all?
3. Show how you would solve the problem. What is your answer?
5. Donald’s library has 10,098 books
4. A concert hall has 17,276 seats
available for a concert. 15,192 tickets
to the concert are sold. How many
seats are left?
6. Challenge Larry’s card collection
in it. He builds an extension to his
library that can hold 12,418 more
books. How many books can
Donald’s library hold after he
builds the extension?
7. Challenge A museum has a
consists of 15,250 cards. There
are 10,111 baseball cards and
3,245 football cards. How many cards
are not baseball or football?
collection of 16,763 artifacts. The
museum sells 10,120 then buys 4,183
more artifacts. How many artifacts
does the museum have now?
PS11
Problem Solving
© Houghton Mifflin Harcourt • Grade 4
Name
Lesson 1.11
Add and Subtract 5-Digit Numbers
Estimate. Then find the sum or difference.
1.
41,324
1
75,327
__
2.
15,184
1
15,149
__
3.
51,305
1
10,848
__
4.
74,322
2
62,116
__
5.
21,673
1 14,548
__
6.
35,357
1 19,219
__
7.
81,452
2 24,621
__
8.
93,344
2 51,667
__
9.
44,955
1
18,178
__
10.
99,999
2
92,901
__
11.
78,593
1
12,475
__
12.
56,891
2
50,490
__
13.
13,069
1
11,956
__
14.
16,560
2
15,699
__
15.
71,948
2
51,052
__
16.
37,326
1
42,673
__
77,895
221,23j
__
56,661
19.
20.
61,357
129,7
j6
__
91,113
Find the missing digit.
17.
19,1j8
1
12,0 4 7
__
31, 1 7 5
18.
6j,689
2
6 0,726
__
3,963
Problem Solving and ISTEP+ Test Prep
21. Jan drove 13,425 miles last year, then
22. A baseball team gets 11,222 hits in a
season. The next season the team
gets 10,322 hits. How many hits
does the team get altogether?
14,083 miles this year. How many
miles did Jan drive altogether?
23. An airplane will fly a total of 11,080
24. There are 35,873 soccer fans at the
miles this trip. The plane has flown
10,576 miles so far. How many more
miles will the plane need to travel?
first game. There are 23,985 fans at
the second game. How many more
fans are at the first game?
A 504 miles
A 10,871
514 miles
C 594 miles
D 656 miles
B
11,512
C 11,888
D 12,783
B
PW11
Practice
© Houghton Mifflin Harcourt • Grade 4