4
Compare Whole Numbers
Solve.
Name:
B
Prerequisite: Compare Three-Digit Numbers
4 Write the symbol (., ,, 5) that makes each
statement true.
73 , 95
Study the example that shows how to compare two three-digit
numbers. Then solve problems 1–7.
184 . 148
905 , 950
Example
M
To compare numbers with the same number of digits, compare place
by place. Start with the greatest place value.
Compare 790 and 728.
Hundreds
7
7
First, compare hundreds.
7 hundreds 5 7 hundreds
Tens
9
2
correct? Explain.
Answers will vary. Possible answer: No; the 4 and 6 are in the ones place. You have
Ones
0
8
to compare the greatest place value first. Compare hundreds first; they are both 2.
Next, compare tens. 0 , 1, so 204 , 216.
Next, compare tens
9 tens . 2 tens
So, 790 . 728.
B
5 Danny says 4 , 6, so 204 , 216. Is his reasoning
M
6 Use numbers and words to explain why a two-digit
number is always less than a three-digit number.
1 Write the numbers 465 and 483 in the place-value
Answers will vary. Possible answer: A two-digit number has 0 hundreds.
chart.
M
Hundreds
Tens
Ones
4
4
6
8
5
3
A three-digit number always has at least 1 hundred. A number with 0 hundreds
is always less than a number with 1 or more hundreds.
2 Complete the sentences to explain how to find
Next, compare the
tens
place, because both
digits in the hundreds place are the same.
6
465
B
tens is less than
is less than
483
8
tens, so
.
3 Write the symbol (., ,, 5) to compare 465 and 483.
u
465 , 483
7 Write a digit (0–9) in the boxes below to make each
greater than a
comparison that says
one number has
greater value than
another number.
comparison true.
digit in first box ,digit in second box
5 30 . 2 60
digit in first box . digit in second box
60 5 5 6 05
9.2
less than a comparison
that says one number
has less value than
another number.
Answers will vary. Possible answers shown.
4 1 2,4 3 2
exact answer shown
9 9 , 1 81
any digit 0–9 in first box; 1–9 in second box
4 60 . 4 50
digit in first box ≥ digit in second box
2,9
Copying is not permitted.
Lesson 2 Compare Whole Numbers
12
12
11
11
Lesson 2 Compare Whole Numbers
Key
B Basic
M Medium
C Challenge
©Curriculum Associates, LLC
Copying is not permitted.
Unit 1
4/7/16 2:36 PM
Copying is not permitted.
©Curriculum Associates, LLC
C
Vocabulary
First, compare digits in the hundreds place.
Unit 1 Number and Operations in Base Ten, Part 1
©Curriculum Associates, LLC
which number is less, 465 or 483.
Practice Lesson 2 Compare Whole Numbers
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 4
Lesson 2
Name:
Solve.
Compare Multi-Digit Numbers
Copying is not permitted.
B
Study the example that shows how to compare
multi-digit numbers. Then solve problems 1–6.
3 Circle all the numbers that are greater than 98,765.
a. 100,100
b. 89,975
Example
c. 99,132
Cara piloted two flights. On her first flight, she flew the airplane
30,825 feet high. On her second flight, she flew 30,750 feet high.
Compare how high Cara flew on her two flights.
Hundred
Ten
Thousands Thousands Thousands
3
0
3
0
Hundreds
8
7
Tens
2
5
d. 987,650
M
4 Walnut Elementary raised $1,950 for new technology
in their school. Grove Elementary raised $1,890.
Which school raised more money? Explain how
you know.
Ones
5
0
Walnut Elementary raised more money. Possible explanation: 1,950 . 1,890. Both
The ten thousands and thousands digits are the same.
numbers have 1 thousand, so I compared the hundreds. 9 hundreds . 8 hundreds,
The hundreds digits are different.
so 1,950 is greater than 1,890.
8 hundreds . 7 hundreds
30,825 . 30,750
B
1 In 2013, 50,266 runners finished the New York City
Marathon and 38,879 runners finished the Chicago
Marathon. Compare these numbers by lining up
the place value. Explain which number is greater.
M
true.
50,266
38,879
8,035 . 894
62,999 , 63,000
Answers will vary. Possible explanation: Write the numbers one above the other.
142,073 , 143,750
Start with the greatest place value, the ten thousands. 5 ten thousands .
501,348 . 500,348
6 Tell whether each number sentence is True or False.
a. 33,003 5 33,030
2 Two numbers are shown in expanded form. Explain
b. 524,980 . 52,498
and show how to compare these numbers.
60,000 1 2,000 1 500 1 80 1 3
c. 270,615 , 270,569
60,000 1 7,000 1 200 1 40 1 5
d. 100,000 , 99,999
Answers will vary. Possible explanation: The numbers are 62,583 and 67,245.
u True
3 True
u
u True
u True
u
3 False
u False
3 False
u
3 False
u
Compare the numbers place by place. The ten thousands are the same. The
thousands are different. 2 thousands , 7 thousands, so 62,583 , 67,245.
©Curriculum Associates, LLC
Copying is not permitted.
Lesson 2 Compare Whole Numbers
13
13
14
14
Lesson 2 Compare Whole Numbers
©Curriculum Associates, LLC
Copying is not permitted.
5
4/7/16 2:36 PM
Unit 1
Unit 1 Number and Operations in Base Ten, Part 1
M
3 ten thousands, so 50,266 . 38,879.
B
5 Write the symbol (., ,, 5) that makes the statement
Practice Lesson 2 Compare Whole Numbers
Practice and Problem Solving
©Curriculum Associates, LLC
CC04MM RPPS TG TEXT.indb 5
Lesson 2
6
Name:
Solve.
Compare Whole Numbers
M
Solve the problems.
4 Circle the statement below that correctly compares
1,530 and 12,530.
B
1 Ethan read 901 pages this month. Henry read
1,002 pages. Maria read 1,020 pages. Kylie read
1,012 pages. Who read the least number of pages?
A Ethan
C
B
D Kylie
Henry
A 1,530 . 12,530 because
5 thousands . 2 thousands.
What place-value
position do you need
to compare?
Maria
B
1,530 5 12,530 because
5 hundreds 5 5 hundreds.
C
1,530 , 12,530 because 1 , 2.
If you compare
numbers by writing
one above the other,
how do you know
that the numbers
are lined up
correctly ?
D 1,530 , 12,530 because
1 thousand , 12 thousands
B
2 A photographer has picture files saved in three
online albums. The Wedding album has 2,073 files.
The Birthday album has 1,860 files. The Pets album
has 2,370 files. Which album has the most files?
Hannah wrote the numbers one above the other to
compare them. She chose A as the correct answer.
How did she get that answer?
You might want to
use a place-value
chart to compare
these numbers.
Answers will vary. Possible answer: Hannah lined up the numbers
Show your work.
incorrectly. She did not line up the digits by place value. She lined up the
Possible student work: Place-value chart shown.
Students may also line up the numbers by place
value or write the numbers in expanded form.
Wedding
Birthday
Pets
Thousands Hundreds
2
0
1
8
2
3
Tens
7
6
7
1s above one another.
M
Ones
3
0
0
A 25 thousands, 973 hundreds
B
259 hundreds, 7 tens, 3 ones
C
25 hundreds, 97 tens, 3 ones
531,642 . 5
How could you write
this number with
only hundreds, tens,
and ones?
C
Copying is not permitted.
6 Use each of the digits 1–9 exactly once. Write a
number in each box to create the greatest and least
possible number.
Greatest Number
D 25 ten thousands, 9 hundreds, 7 tens, 3 ones
©Curriculum Associates, LLC
What could be the
first step in solving
this problem?
Least Number
Lesson 2 Compare Whole Numbers
15
15
16
16
What digit should
you write in the
greatest place value?
9 8 , uuu
7 6 5
uu
1 , uuu
2 3 4
u
Lesson 2 Compare Whole Numbers
©Curriculum Associates, LLC
Copying is not permitted.
Unit 1
Copying is not permitted.
4/7/16 2:36 PM
Unit 1 Number and Operations in Base Ten, Part 1
©Curriculum Associates, LLC
3 Which of these is equal to 25,973?
number that is greater than and a number that is
less than 531,642.
Possible answers:
6 3 1 , uuu
5 4 2 . 531,642
uuu
2 3 , uuu
1 6 4
uuu
The Pets album has the most files.
Solution: ___________________________________
M
5 Use the digits in the number 531,642 to write a
Practice Lesson 2 Compare Whole Numbers
Practice and Problem Solving
CC04MM RPPS TG TEXT.indb 6
Lesson 2