Develop Skills and Strategies
Lesson 4
Part 1: Introduction
CCSS
4.NBT.A.3
Round Whole Numbers
You’ve learned how to round three-digit numbers to the nearest ten or
hundred. Take a look at rounding larger numbers.
A toothpaste company surveyed 36,219 customers about their favorite
toothpaste flavor. The data will be used to help the company decide what flavor
to continue making. To the nearest thousand, about how many customers were
surveyed?
Explore It
Use the math you already know to solve the problem.
To which place-value position are you asked to round? Count by thousands: 30,000; 31,000; 32,000; ; ;
; ; ; ; ; Between which two thousands is the number 36,219?
How far from 36,000 is 36,219? Explain how you could find, to the nearest thousand, about how many customers
were surveyed?
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L4: Round Whole Numbers
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Part 1: Introduction
Lesson 4
Find Out More
You round numbers to estimate and to make numbers easier to work with when you
don’t need an exact answer.
You can use a number line to round 36,219 to the nearest thousand. The closest
thousand less than 36,219 is 36,000. The closest thousand greater than 36,219 is
37,000. Which thousand is closer to 36,219?
36,219
36,000
37,000
The number 36,219 rounded to the nearest thousand is 36,000 because it is closer to
36,000 than to 37,000.
What if 36,500 customers were surveyed? That number is exactly half-way between
36,000 and 37,000.
In order for rounding to work the same for everyone, there is a rule to follow. If a
number is exactly half-way between, round up.
So the number 36,500 rounded to the nearest thousand is 37,000.
Reflect
1 Explain how you could round 14,682 to the nearest thousand.
L4: Round Whole Numbers
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27
Part 2: Modeled Instruction
Lesson 4
Read the problem below. Then explore how to use a number line to solve a
problem that involves rounding.
Last year, Tanaka’s Toys spent $117,290 developing a new video game. This year,
the company spent $175,000 on the game. Round the amounts spent to the
nearest ten thousand. Then, find about how much more Tanaka’s Toys spent
this year.
Model It
You can use a number line to round $117,290 to the nearest ten thousand.
Find the closest ten thousand less than and greater than 117,290. 117,290 is between
110,000 and 120,000.
117,290
110,000
120,000
117,290 is closer to 120,000.
$117,290 rounded to the nearest ten thousand is $120,000.
Model It
You can use a number line to round $175,000 to the nearest ten thousand.
Find the closest ten thousand less than and greater than 175,000. 175,000 is between
170,000 and 180,000.
175,000
170,000
180,000
175,000 is exactly half-way between 170,000 and 180,000.
$175,000 rounded to the nearest ten thousand is $180,000.
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L4: Round Whole Numbers
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Part 2: Guided Instruction
Lesson 4
Connect It
Now you will solve the problem from the previous page.
2 Why do you round $117,290 up to $120,000?
3 Why do you round $175,000 up to $180,000?
4 After you round both amounts, how do you estimate how much more Tanaka’s
Toys spent this year?
5 About how much more did Tanaka’s Toys spend this year? 6 Choose any 5-digit number. Write it here. Explain how to round your number to the nearest ten thousand.
Try It
Use what you just learned to solve these problems.
7 Mr. Ruiz’s class wants to collect 2,000 water bottles to recycle. So far, they have
collected 1,376 water bottles. Round the amounts to the nearest hundred. Then
find how many more bottles the class needs to collect. 8 Round 649,418
to the nearest ten to the nearest hundred to the nearest thousand to the nearest ten thousand to the nearest hundred thousand L4: Round Whole Numbers
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Part 3: Guided Practice
Lesson 4
Study the model below. Then solve problems 9–11.
Student Model
The student rounded
1,729 and 1,065 to the
nearest hundred, then
subtracted the rounded
amounts.
The tallest building in Illinois, the Willis Tower, is 1,729 feet
tall. The tallest building in Maryland, The Transamerica Tower,
is 1,065 feet tall. To the nearest hundred feet, how much taller
is the Willis Tower than the Transamerica Tower?
Look at how you could show your work using rounding.
Round each number to the nearest hundred.
1,729
Pair/Share
How can you decide
what hundreds a
number is between?
What digit is in the
thousands place in each
number?
1,700
1,065
1,800
1,000
1,100
1,700 2 1,100 5 600
Solution: 600 feet
9 Smallville has 12,548 people registered to vote. In the last
election, only 4,685 people voted. To the nearest thousand,
about how many registered voters did not vote?
Show your work.
Pair/Share
How did you decide
whether to round up or
round down?
30
Solution: L4: Round Whole Numbers
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Part 3: Guided Practice
10 Grandview Golf makes wooden golf tees. In 2010, they made
380,285 tees. In 2011, they made 512,525 tees. To the nearest
ten thousand, how many tees did they make in all?
Lesson 4
What should I do first to
solve this problem?
Show your work.
Pair/Share
Solution: 11 Movie Mart shipped 264,398 DVDs to its customers last year.
To the nearest ten, how many DVDs did Movie Mart ship? Circle
the letter of the correct answer.
Could the answer be
greater than 900,000?
What two tens is 264,398
between?
A264,300
B264,390
C264,400
D265,000
Elin chose C as the correct answer. Explain how she got her
answer.
L4: Round Whole Numbers
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Pair/Share
Do you agree with Elin’s
answer?
31
Part 4: Common Core Practice
Lesson 4
Solve the problems.
1 The distances four hot air balloons traveled are listed below.
Balloon 1: 6,559 kilometers
Balloon 3: 6,545 kilometers
Balloon 2: 6,547 kilometers
Balloon 4: 6,553 kilometers
Leah rounds the distances the balloons traveled to the nearest ten. Which hot air
balloon’s distance does NOT round to 6,550 kilometers?
A
balloon 1
B
balloon 2
C
balloon 3
D
balloon 4
2 Phoebe’s Bait and Tackle sold 128,207 live worms in April and 102,378 in May.
To the nearest thousand, how many worms did Phoebe’s Bait and Tackle sell in April
and May?
A200,000
B230,000
C230,500
D230,580
3 Which numbers have been rounded correctly to the nearest thousand? Circle the letter
for all that apply.
A12,500
13,000
B1,445
2,000
C29,607
D498
32
30,000
500
L4: Round Whole Numbers
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Part 4: Common Core Practice
Lesson 4
4 A is an unknown number. When you round A to the nearest thousand, you get 21,000.
When you round it to the nearest hundred, you get 20,500.
Write A in the box that shows its location on the number line.
20,000
20,500
21,000
5 Round 5,563 to the nearest thousand, to the nearest hundred, and to the nearest ten.
If you could pay a $5,563 bill with a rounded amount, which place value would you
rather round to? If you could choose a rounded amount for a $5,563 prize in a contest,
which place value would you rather round to?
Show your work.
6 Nadia’s father bought a new camera, lens, and case. He rounded the cost of all the
items to estimate how much money he would need. He rounded the price of the
camera to $800, the cost of the lens to $500, and the cost of the case to $200. The
actual cost of all three items was $1,489. What could the actual costs of the items be?
Show your work.
Answer camera lens case Self Check Go back and see what you can check off on the Self Check on page 1.
L4: Round Whole Numbers
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Develop Skills and Strategies
Lesson 4
(Student Book pages 26–33)
Round Whole Numbers
Lesson Objectives
The Learning Progression
•Use appropriate tools to round multi-digit
whole numbers.
In Grade 3, students learned to round to the nearest
10 or 100 while only looking at the leading digit in
a number. In Grade 4, this concept is expanded to
larger numbers and place value, where students
learn to round to digits other than the leading digit
(e.g., round 38,472 to the nearest hundred). This
concept is a foundation for computation with larger
numbers, as students will be encouraged to round
numbers and use those rounded numbers to estimate
sums, differences, and products. This will help them
determine the reasonableness of their answers in
computation problems.
•Explain how a multi-digit whole number is rounded
to a specific place value.
Prerequisite SkilLs
In order to be proficient with the concepts/skills in this
lesson, students should:
•Understand place value.
•Round to tens and hundreds.
•Know if a given digit is less than, greater than, or
equal to 5.
Teacher Toolbox
Prerequisite
Skills
Vocabulary
There is no new vocabulary.
Teacher-Toolbox.com
Ready Lessons
Tools for Instruction
Interactive Tutorials
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4.NBT.A.3
4.NBT.3
✓
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✓
CCSS Focus
4.NBT.A.3 Use place value understanding to round multi-digit whole numbers to any place.
STANDARDS FOR MATHEMATICAL PRACTICE: SMP 1, 2, 4, 6 (See page A9 for full text.)
L4: Round Whole Numbers
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29
Part 1: Introduction
Lesson 4
At a Glance
Students read a word problem and answer a series of
questions designed to help them round a 5-digit
number to the nearest thousand.
Develop skills and strategies
Lesson 4
Part 1: introduction
ccss
4.nbt.a.3
round Whole numbers
you’ve learned how to round three-digit numbers to the nearest ten or
hundred. take a look at rounding larger numbers.
Step By Step
A toothpaste company surveyed 36,219 customers about their favorite
•Have students read the problem at the top of the page.
toothpaste flavor. The data will be used to help the company decide what flavor
to continue making. To the nearest thousand, about how many customers were
•Work through Explore It as a class.
surveyed?
•Tell students that this page models how to round a
number to the nearest thousand.
explore it
use the math you already know to solve the problem.
thousands
To which place-value position are you asked to round?
•Ask students to explain how they determined which
two thousands the given number is between.
Count by thousands: 30,000; 31,000; 32,000;
35,000 ;
36,000 ;
37,000 ;
33,000
38,000 ;
;
34,000
39,000 ;
;
40,000
Between which two thousands is the number 36,219?
•Ask students to explain how they know which two
thousands the given number is closest to.
36,000 and 37,000
How far from 36,000 is 36,219?
219
Explain how you could find, to the nearest thousand, about how many customers
were surveyed?
•Ask student pairs or groups to explain their answers
for the remaining questions.
Possible explanation: subtract to find how far 36,219 is from 37,000.
it is 781 away from 37,000 and 219 away from 36,000. 219 , 781, so it is
closer to 36,000.
SMP Tip: Point out to students that there are
many occasions in real-life where rounding can be
beneficial. Optimal places to practice rounding are
grocery stores, malls, and restaurants. (SMP 4)
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L4: Round Whole Numbers
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Mathematical Discourse
•Now that you are rounding numbers in the
ten thousands, will your method of rounding change
from how you rounded numbers to the nearest tens
and hundreds?
Students’ responses should be that the
increased value of the numbers will not change
the basic method by which they round. They
will continue to focus on the place to which
rounding is to occur, and take the necessary
steps to determine whether the numeral in that
position will remain the same or increase by
one in value. Then they will continue to place
zeros in all the remaining places to the right of
that position.
30
L4: Round Whole Numbers
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Part 1: Introduction
Lesson 4
At a Glance
Students use place-value concepts to round numbers.
They apply a rule about the halfway point between two
numbers and use it to determine whether to round the
number up or down.
Step By Step
•Read Find Out More as a class.
•Ensure that students know how to locate the number
in the appropriate place value.
•Help students understand how the number is
positioned on the number line.
•Point out that the digit in the hundreds place
determines which thousand the given number is
closest to.
•Have students read and reply to the Reflect directive.
Hands-On Activity
Part 1: introduction
Lesson 4
Find out More
You round numbers to estimate and to make numbers easier to work with when you
don’t need an exact answer.
You can use a number line to round 36,219 to the nearest thousand. The closest
thousand less than 36,219 is 36,000. The closest thousand greater than 36,219 is
37,000. Which thousand is closer to 36,219?
36,219
36,000
37,000
The number 36,219 rounded to the nearest thousand is 36,000 because it is closer to
36,000 than to 37,000.
What if 36,500 customers were surveyed? That number is exactly half-way between
36,000 and 37,000.
In order for rounding to work the same for everyone, there is a rule to follow. If a
number is exactly half-way between, round up.
So the number 36,500 rounded to the nearest thousand is 37,000.
reflect
1 Explain how you could round 14,682 to the nearest thousand.
Find the closest thousands that are less than and greater than 14,682.
that’s 14,000 and 15,000. the number 14,682 is closer to 15,000.
L4: Round Whole Numbers
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Use place value to round numbers.
Materials: spinner numbered 0–9, cards worded
with place-value names (ones, tens, hundreds, etc.)
•Pair students with a partner.
•Have one student spin the spinner a specified
number of times to form the digits in a number.
•Have the partner randomly draw a card to see the
place to which their number is to be rounded.
•Have students write down the two numbers their
number lies between. Students should choose
numbers rounded to the given place value.
Real-World Connection
Encourage students to think about everyday places
and/or situations where the ability to round numbers
may be necessary or helpful. Ask for volunteers to
share ideas.
Examples: shopping and dining out (to determine the
approximate amount of the bill and/or whether you
have enough money for certain purchases)
•Have students use a number line or place-value
reasoning to decide how to round their number.
Example: One student spins the numbers 3, 4, 5, 7,
and 6, so 34,576 is the number they are rounding.
The second student draws a card that says
“hundreds.” The students will write 34,500 and
34,600 as the numbers their number lies between.
Then they determine that 34,576, rounded to the
nearest hundred, is 34,600. L4: Round Whole Numbers
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31
Part 2: Modeled Instruction
Lesson 4
At a Glance
Part 2: Modeled instruction
Students round two values to the nearest ten thousand
and then estimate the difference of the numbers.
Lesson 4
read the problem below. then explore how to use a number line to solve a
problem that involves rounding.
Step By Step
Last year, Tanaka’s Toys spent $117,290 developing a new video game. This year,
the company spent $175,000 on the game. Round the amounts spent to the
nearest ten thousand. Then, find about how much more Tanaka’s Toys spent
•Read the problem at the top of the page as a class.
this year.
SMP Tip: Discuss with students the significance
Model it
you can use a number line to round $117,290 to the nearest ten thousand.
of analyzing what the problem is asking them to
find. Then they should develop a strategy to solve
the problem (in this case, the two steps of rounding
and subtracting). (SMP 1)
Find the closest ten thousand less than and greater than 117,290. 117,290 is between
110,000 and 120,000.
117,290
110,000
120,000
117,290 is closer to 120,000.
$117,290 rounded to the nearest ten thousand is $120,000.
•Read the first Model It. Have a volunteer explain how
the numbers on the number line are chosen. [The
given number is being rounded to the ten thousands
place, so 117,000 is between 110,000 and 120,000.]
Model it
you can use a number line to round $175,000 to the nearest ten thousand.
Find the closest ten thousand less than and greater than 175,000. 175,000 is between
170,000 and 180,000.
175,000
•Ask students to explain why the number is rounded
to $120,000 instead of $110,000. [The halfway
number between 110,000 and 120,000 is 115,000.
The given number is greater than this number.]
•Read the second Model It. Have a volunteer explain
how the numbers on the number line are chosen.
[The given number is being rounded to the
ten thousands place, so 175,000 is between
170,000 and 180,000.]
170,000
180,000
175,000 is exactly half-way between 170,000 and 180,000.
$175,000 rounded to the nearest ten thousand is $180,000.
28
L4: Round Whole Numbers
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•Ask students to identify the number that is halfway
between 170,000 and 180,000. [175,000]
•Point out that when a number is exactly halfway
between two numbers, you round the number up.
ELL Support
Use visuals, such as a number line, to help
ELL students grasp the meaning of rounding.
When you round a number, you are choosing
between two numbers written to the appropriate
place value. You choose the number that is closest to
the original number. If the original number is
exactly halfway between the numbers, you round up
to the larger number.
32
Mathematical Discourse
•In the Tanaka’s Toys problem, what were the key
words that made you think the rounded numbers
should be subtracted?
The words “how much more” in the problem
suggested subtraction.
•What are some examples of some key words or
phrases that could mean addition?
Sample answers: “in all,” “the total of,” or “how
much altogether?”
L4: Round Whole Numbers
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Part 2: Guided Instruction
Lesson 4
At a Glance
Students revisit the problem on page 28.
Step By Step
•Read Connect It as a class. Be sure to point out that
the questions refer to the problem on page 28.
•Have students explain their answer to problem 4.
Have students identify the key phrase in the problem
that suggests subtraction is needed.
•For problem 6, make sure students include
something about identifying the number halfway
between the two numbers, especially if their number
contains a 5 in the thousands place.
Part 2: guided instruction
Lesson 4
connect it
now you will solve the problem from the previous page.
2 Why do you round $117,290 up to $120,000?
117,290 is closer to 120,000 than 110,000.
3 Why do you round $175,000 up to $180,000?
175,000 is exactly half-way between 170,000 and 180,000, so you round up.
4 After you round both amounts, how do you estimate how much more Tanaka’s
Toys spent this year?
subtract 120,000 from 180,000.
5 About how much more did Tanaka’s Toys spend this year? about $60,000
6 Choose any 5-digit number. Write it here. answers will vary.
Explain how to round your number to the nearest ten thousand.
Possible explanation: Find the closest ten thousand above and below the
number. then decide whether the number is more or less than halfway
between them.
try it
Hands-On Activity
Use base-ten blocks to understand
rounding numbers.
Materials: base-ten blocks
•Place students in groups of 2 or 3. Distribute
base-ten blocks to each group.
•Have students build a four-digit number with the
base-ten blocks. For example, 3,624 would consist
of 3 cubes, 6 flats, 2 rods, and 4 units.
•To round the number to the nearest thousand,
have students represent 500 using base-ten
blocks. [They might stack 5 flats together.]
•Students should compare the 5 flats with the
number of flats in their number to determine
whether to round their number up or down to the
nearest thousand. Have students explain why this
method works.
•Provide additional numbers so students can
repeat this process for other numbers.
use what you just learned to solve these problems.
7 Mr. Ruiz’s class wants to collect 2,000 water bottles to recycle. So far, they have
collected 1,376 water bottles. Round the amounts to the nearest hundred. Then
find how many more bottles the class needs to collect. about 600 water bottles
8 Round 649,418
649,420
to the nearest ten
649,400
to the nearest hundred
649,000
to the nearest thousand
650,000
to the nearest ten thousand
600,000
to the nearest hundred thousand
L4: Round Whole Numbers
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Try It Solutions
7Solution: about 600 water bottles; The closest
hundreds that are less than and greater than 1,376
are 1,300 and 1,400. 1,376 is closer to 1,400, so
round up to 1,400. Then subtract 1,400 from 2,000
to get 600.
ERROR ALERT: Students who wrote 700 did not
correctly round 1,376 to the nearest hundred.
Those students rounded 1,376 to 1,300 and then
subtracted this amount from 2,000. Students who
wrote 3,400 added. Those students correctly
rounded 1,376 to 1,400, but added this amount to
2,000 instead of subtracting the amount from 2,000.
8Solution: 649,420; 649,400; 649,000; 650,000;
600,000; Students round 649,418 to the nearest
ten, hundred, thousand, ten thousand, and
hundred thousand.
L4: Round Whole Numbers
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33
Part 3: Guided Practice
Lesson 4
Part 3: guided Practice
Lesson 4
study the model below. then solve problems 9–11.
10 Grandview Golf makes wooden golf tees. In 2010, they made
Student Model
The student rounded
1,729 and 1,065 to the
nearest hundred, then
subtracted the rounded
amounts.
Part 3: guided Practice
The tallest building in Illinois, the Willis Tower, is 1,729 feet
tall. The tallest building in Maryland, The Transamerica Tower,
380,285 tees. In 2011, they made 512,525 tees. To the nearest
ten thousand, how many tees did they make in all?
Show your work.
is the Willis Tower than the Transamerica Tower?
Pair/share
Solution: 890,000 tees
round each number to the nearest hundred.
1,729
What digit is in the
thousands place in each
number?
1,700
Could the answer be
greater than 900,000?
1,065
11 Movie Mart shipped 264,398 DVDs to its customers last year.
How can you decide
what hundreds a
number is between?
What should I do first to
solve this problem?
is 1,065 feet tall. To the nearest hundred feet, how much taller
Look at how you could show your work using rounding.
Pair/share
Lesson 4
1,800
1,000
1,100
1,700 2 1,100 5 600
To the nearest ten, how many DVDs did Movie Mart ship? Circle
the letter of the correct answer.
What two tens is 264,398
between?
a 264,300
Solution: 600 feet
9 Smallville has 12,548 people registered to vote. In the last
election, only 4,685 people voted. To the nearest thousand,
about how many registered voters did not vote?
Show your work.
b
264,390
c
264,400
D 265,000
Elin chose c as the correct answer. Explain how she got her
answer.
elin saw that 264,398 is closer to 264,400 than to 264,390,
so she rounded up.
Pair/share
Do you agree with Elin’s
answer?
Pair/share
How did you decide
whether to round up or
round down?
30
Solution: 8,000 voters
L4: Round Whole Numbers
L4: Round Whole Numbers
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At a Glance
Solutions
Students use place-value concepts to solve problems
involving rounding whole numbers.
Ex Each height is between two numbers rounded to the
nearest hundred. Round each height to the nearest
hundred feet by deciding which estimate the height
is closest to. Students need to recognize that the
problem involves subtraction.
Step By Step
•Ask students to solve the problems individually and
label units in their calculations.
•When students have completed each problem, have
them Pair/Share to discuss their solutions with a
partner or in a group.
9Solution: 8,000 voters; The closest thousands that
are less than and greater than 12,548 are 12,000 and
13,000. 12,548 is closer to 13,000, so round up to
13,000. The closest thousands that are less than and
greater than 4,685 are 4,000 and 5,000. 4,685 is
closer to 5,000, so round up to 5,000. Then subtract
the rounded numbers to get 8,000. (DOK 2)
10 Solution: 890,000 tees; To the nearest ten thousand,
380,285 rounds to 380,000 and 512,525 rounds to
510,000. Then add the rounded numbers to get
890,000. (DOK 2)
11 Solution: C; The closest tens less than and greater
than 264,398 are 264,390 and 264,400. 264,398 is
closer to 264,000, so round up to 264,000. (DOK 3)
34
L4: Round Whole Numbers
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Part 4: Common Core Practice
Part 4: common core Practice
Lesson 4
Solve the problems.
1
Lesson 4
Part 4: common core Practice
4
A is an unknown number. When you round A to the nearest thousand, you get 21,000.
When you round it to the nearest hundred, you get 20,500.
Write A in the box that shows its location on the number line.
The distances four hot air balloons traveled are listed below.
Balloon 1: 6,559 kilometers
Balloon 3: 6,545 kilometers
A
Balloon 2: 6,547 kilometers
Balloon 4: 6,553 kilometers
20,000
Leah rounds the distances the balloons traveled to the nearest ten. Which hot air
balloon’s distance does NOT round to 6,550 kilometers?
A
balloon 1
B
balloon 2
C
balloon 3
D
balloon 4
Lesson 4
5
20,500
21,000
Round 5,563 to the nearest thousand, to the nearest hundred, and to the nearest ten.
If you could pay a $5,563 bill with a rounded amount, which place value would you
rather round to? If you could choose a rounded amount for a $5,563 prize in a contest,
which place value would you rather round to?
Show your work.
2
Phoebe’s Bait and Tackle sold 128,207 live worms in April and 102,378 in May.
To the nearest thousand, how many worms did Phoebe’s Bait and Tackle sell in April
and May?
A
3
6,000; 5,600; 5,560; i would round to tens if the number was the amount of money i
200,000
B
230,000
C
230,500
D
230,580
had to pay and round to thousands if the number was the amount of money i won.
6
Which numbers have been rounded correctly to the nearest thousand? Circle the letter
for all that apply.
A
12,500
B
1,445
C
29,607
D
498
13,000
Nadia’s father bought a new camera, lens, and case. He rounded the cost of all the
items to estimate how much money he would need. He rounded the price of the
camera to $800, the cost of the lens to $500, and the cost of the case to $200. The
actual cost of all three items was $1,489. What could the actual costs of the items be?
Show your work.
answers may vary.
2,000
30,000
Answer
camera
lens
case
500
self check Go back and see what you can check off on the Self Check on page 1.
32
L4: Round Whole Numbers
L4: Round Whole Numbers
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At a Glance
Students round numbers to solve problems that might
appear on a mathematics test.
Solutions
1Solution: A; The closest tens that are less than and
greater than 6,559 are 6,550 and 6,560. 6,559 is
closer to 6,560, so it rounds up to 6,560. (DOK 1)
2Solution: B; Round 128,207 to 128,000 and
102,378 to 102,000. Then add to get 230,000.
(DOK 2)
3Solution: A; 12,500 is exactly halfway between
12,000 and 13,000, so round up to 13,000.
C; 29,607 is closer to 30,000 than to 29,000, so
round up. (DOK 2)
L4: Round Whole Numbers
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©Curriculum Associates, LLC
Copying is not permitted.
33
4Solution: The letter A belongs in the third box; The
third box is located at approximately 20,525, which
rounds to 21,000 and 20,500 when rounded to the
nearest thousand and hundred, respectively.
(DOK 2)
5Solution: 6,000; 5,600; 5,560; Round to tens if the
number is the amount owed, as this is the least
amount. Round to thousands if the number is the
amount won, as this is the greatest amount.
(DOK 2)
6Solution: Sample answer: $799; $499; $191.
$799 rounded to the nearest hundred is $800.
$499 rounded to the nearest hundred is $500.
$191 rounded to the nearest hundred is $200. The
sum of the items is $799 1 $499 1 $191 5 $1,489.
(DOK 3)
35
Differentiated Instruction
Lesson 4
Assessment and Remediation
•Ask students to find 286,749 rounded to the nearest hundred. [286,700]
•For students who are still struggling, use the chart below to guide remediation.
•After providing remediation, check students’ understanding. Ask students to explain their thinking while
rounding 406,855 to the nearest ten. [406,860]
•If a student is still having difficulty, use Ready Instruction, Level 3, Lesson 8.
If the error is . . .
Students may . . .
To remediate . . .
286,800
have rounded up.
Demonstrate with a number line that 286,749 is closer to
286,700 than to 286,800.
286,750
have rounded to the
nearest ten.
Remind students that the number in the hundreds place is 7.
287,000
have rounded to the
nearest thousand.
Remind students that when rounding a number with a 7 in the
hundreds place to the nearest hundred, the hundreds digit will
either remain the same (7) or increase by 1 (8).
300,000
have rounded to the
nearest hundred
thousand.
Remind students they are rounding to the nearest hundreds
place, not hundred thousands place.
Hands-On Activity
Challenge Activity
Use a Bingo game to practice rounding.
Round with units of measure.
Materials: Homemade bingo game cards that have
already-rounded numbers within their squares, bingo
markers or chips
Note: Students will not be expected to convert
measurements on their own until Lesson 23, so work
through the conversions as a class.
•Distribute a card and markers to each student.
Have students round the following:
•Draw a number (from a set you have previously
created) to “call out.” These numbers will not be
rounded. For example, you may say, “659 rounded
to the nearest hundred.”
119 inches to the nearest number of feet. [2 feet]
•The students will then look on their cards for the
number 700.
•Continue by repeating the previous two steps until
someone gets 5 in a row.
236 ounces to the nearest number of pounds.
[2 pounds]
311 quarts to the nearest number of gallons.
[3 gallons]
4812 centimeters to the nearest number of meters.
[8 meters]
525 fluid ounces to the nearest number of cups.
[3 cups]
610,892 feet to the nearest number of miles.
[2 miles]
36
L4: Round Whole Numbers
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