Name
1.4
?
Number and
Operations—4.2.D
MATHEMATICAL PROCESSES
4.1.A, 4.1.B, 4.1.C
Round Numbers
Essential Question
How can you round numbers?
Unlock
Unlock the
the Problem
Problem
During May 2008, the Mount Rushmore National
Monument in South Dakota welcomed 138,202
visitors. A website reported that about 1 hundred
thousand people visited the park during that
month. Was the estimate reasonable?
• Underline what you are asked to find.
• Circle the information you will use.
An estimate tells you about how many or about how much. It is close to
an exact amount. You can round a number to find an estimate.
One Way Use a number line.
To round a number to the nearest hundred thousand, find the hundred
thousands it is between.
___ < 138,202 < ___
Use a number line to see which hundred thousand 138,202 is closest to.
138,202
100,000
150,000
138,202 is closer to ___ than ___.
So, 1 hundred thousand is a reasonable estimate for 138,202.
200,000
Math Talk
Mathematical Processes
Is 155,000 closer to 100,000
or 200,000? Explain.
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1. What number is halfway between 100,000 and 200,000?
2. How does knowing where the halfway point is help you find
which hundred thousand 138,202 is closest to? Explain.
Module 1
23
Another Way Use place value.
Mount Rushmore is located 5,725 feet above sea
level. About how high is Mount Rushmore above
sea level, to the nearest thousand feet?
To round a number to the nearest thousand,
find the thousands it is between.
__ < 5,725 < __
Look at the digit in the place-value position to
the right.
Math Talk
5,725
Mathematical Processes
Explain how you know that
5,700 is closer to 6,000
than to 5,000.
Think: The digit in the hundreds place is 7.
So, 5,725 is closer to 6,000 than 5,000.
So, Mount Rushmore is about __ feet
above sea level.
3. What is 250,000 rounded to the nearest hundred thousand?
Share
Share and
and Show
Show
1. Suppose 255,113 people live in a city. Rounded to the
nearest hundred thousand, about how many people live
in the city? Explain.
__ > 255,113 > __
Round to the place value of the underlined digit.
2. 934,567
24
3. 641,267
4. 1,234,890
5. 347,456
© Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©PhotoDisc/Getty Images
Explain.
Name
Problem
Problem Solving
Solving
6.
Multi-Step Apply The number 2,■00 is missing a
digit. The number rounded to the nearest thousand is 3,000. List
all of the possibilities for the missing digit. Explain your answer.
Write Math
7.
Show Your Work
Multi-Step Evaluate Reasonableness The 2008
population of Wyoming was counted as 532,668 people. What is a
reasonable estimate of the 2008 population of Wyoming? Explain.
8. What is the greatest whole number that rounds to the number
277,300? What is the least whole number?
9. Sarah rounded the number 4,583,583 to 4,500,000 when her
© Houghton Mifflin Harcourt Publishing Company
teacher asked her to round to the nearest hundred thousand.
Jamal rounded the same number to 4,600,000 when asked to
round to the nearest hundred thousand. Who is correct? Explain
the error that was made.
10. What number is half way between 34,000 and 35,000?
Module 1 • Lesson 4
25
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
11. The number of dogs at The Great North Dog Walk in 2011, rounded
to the nearest thousand, is 23,000. Which could be the exact number
of dogs?
A
22,742
B
23,500
C
23,603
D
22,455
12. A sports website had 2,684,735 visitors last year. Jerry rounded the
number of visitors to the nearest hundred thousand for a newspaper
article. Which number shows how he rounded 2,684,735?
A
2,684,400
B
2,680,000
C
2,690,000
D
2,700,000
13. Multi-Step Rachael rounded 16,473 to the nearest hundred. Then
she rounded her answer to the nearest thousand. What is the final
number?
A
16,500
B
17,000
C
20,000
D
16,000
14. About 300,000 people attended a festival. Which number could be
the exact number of people that attended the festival?
26
A
389,001
C
252,348
B
249,899
D
351,213
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
H o mewo rk
and Practice
1.4
Number and Operations—4.2.D
MATHEMATICAL PROCESSES 4.1.A ,
4.1.B, 4.1.C
Name
Round Numbers
1. The number 5,■00 is missing a digit. The
number rounded to the nearest thousand
is 5,000. List all of the possibilities for the
missing digit. Explain your answer.
3. What is the greatest whole number that
rounds to 67,400? What is the least whole
number?
2. Andy and Elizabeth each rounded 2,639,456
to the nearest ten-thousand. Andy got
2,640,000. Elizabeth got 2,630,000. Who is
correct? Explain the error that was made.
4. What number is half way between 170,000
and 180,000?
Problem
Problem Solving
Solving
© Houghton Mifflin Harcourt Publishing Company
5. A shopping channel shipped 467,023
packages last year. What is a reasonable
estimate of the number of packages
shipped? Explain.
6. A parking lot covers 32,420 square feet.
What is its area to the nearest thousand
feet? Explain how you round the number.
Module 1 • Lesson 4 27
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
7. The population of Forestville is 83,277.
8. To the nearest hundred thousand, there
What is the population rounded to the
nearest thousand?
were 700,000 visitors to an amusement
park last year. Which could be the exact
number of visitors?
83,000
B
80,000
C
84,000
D
90,000
9. What is the greatest whole number that
rounds to 54,300?
A
53,399
B
54,349
C
53,999
D
54,299
11. Multi-Step A male elephant weighs 6,708
pounds. A female elephant weighs 5,823
pounds. To the nearest hundred, what is
the total weight of the two elephants?
28
A
7,000 pounds
B
12,500 pounds
C
6,000 pounds
D
13,000 pounds
A
784,312
B
756,107
C
685,280
D
641,888
10. The number 15,■56 rounded to the
nearest thousand is 15,000. Which
numbers could be the missing digit?
A
1, 2, 3, 4, 5
B
1, 2, 3, 4, 5, 6
C
0, 1, 2, 3, 4, 5
D
0, 1, 2, 3, 4
12. Multi-Step To the nearest hundred, a
factory produced 3,600 jars of applesauce
on Thursday and 4,200 jars of applesauce
on Friday. To the nearest thousand, how
many jars of applesauce did they produce
on the two days?
A
7,800
B
7,000
C
8,400
D
8,000
© Houghton Mifflin Harcourt Publishing Company
A
Name
Module 1 Assessment
Vocabulary
Vocabulary
Vocabulary
Choose the best term from the box.
expanded form
period
1. The ___ of 1,723,850 is 1,000,000 + 700,000 +
round
20,000 + 3,000 + 800 + 50. (p. 11)
2. You can __ to find about how much or how many. (p. 23)
standard form
3. In 192,860 the digits 1, 9, and 2 are in the same __ (p. 11)
Concepts
Concepts and
and Skills
Skills
Complete the sentence. q TEKS 4.2.A
1 of __
4. 7 is ___
5. 800 is 10 times as much as __
10
Write the number in two other forms. q TEKS 4.2.B
6. 293,805
7. 20,000,000 + 6,000,000 + 300,000 +
5,000 + 20 + 6
______
______
______
______
______
______
Compare. Write <, >, or =. q TEKS 4.2.C
8. 457,380
● 458,590
9. 390,040
● 9,040
10. 11,809
● 11,980
Order from least to greatest. q TEKS 4.2.C
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11. 801,652; 801,114; 84,318
12. 6,551,111; 6,540,164; 6,547,894
_______
_______
Round to the place of the underlined digit. q TEKS 4.2.D
13. 140,250
____
14. 10,450
____
15. 126,234
____
Module 1
29
TEXAS Test Prep
Fill the bubble in completely to show your answer.
16. Matt did research on heights of volcanoes. He found that
Lassen Peak is 10,457 feet, Mt. Rainier is 14,410 feet, Mt. Shasta
is 14,161 feet, and Mt. St. Helens is 8,364 feet. Which height is
the greatest? q TEKS 4.2.C
A
8,364
C
10,457
B
14,410
D
14,161
17. Which number, rounded to the nearest ten-thousand,
is 60,000? q TEKS 4.2.D
A
26,912
C
261,395
B
53,024
D
62,093
18. Gail wrote the number seven million, six hundred forty-eight
thousand, three hundred ninety-seven on the board. Which shows
how Gail would write this number in standard and expanded form?
q TEKS 4.2.B
A
768,397; 700,000 + 60,000 + 8,000 + 300 + 977
B
70,648,397; 70,000,000 + 600,000 + 40,000 + 8,000 + 300 + 90 + 7
C
7,648,397; 7,000,000 + 400,000 + 60,000 + 8,000 + 300 + 97
D
7,648,397; 7,000,000 + 600,000 + 40,000 + 8,000 + 300 + 90 + 7
19. Company A sold 6,028,468 cans of corn during the last three
Record your answer and fill in the bubbles on the grid. Be sure
to use the correct place value.
30
.
© Houghton Mifflin Harcourt Publishing Company
months. What is the value of the digit 4 in the number
6,028,468? q TEKS 4.2.B