Round to the Nearest Ten or Hundred
Name
4.1 ?
Round to the Nearest Ten or Hundred
Essential Question
Number and Operations—3.4.B Also 3.2.C MATHEMATICAL PROCESSES 3.1.A, 3.1.C
How can you round numbers?
Unlock Unlock the the Problem Problem Mia’s baseball bat is 32 inches long. What is its length rounded to the nearest ten inches?
One Way
Use place value to round.
A Round 32 to the nearest ten. Think: The digit in the ones place tells if the number is closer to 30 or 40.
2
●5
Remember When you round a number, you find a number that tells you about how much or about how many.
32
↑
So, the tens digit stays the same. Write 3 as the tens digit. Write zero as the ones digit. So, the length of Mia’s bat rounded to the nearest ten inches is _ inches. B Round 457 to the nearest hundred. Think: The digit in the tens place tells if the number is closer to 400 or 500.
5
●5
457 ↑
© Houghton Mifflin Harcourt Publishing Company
So, the hundreds digit increases by one. Write 5 as the hundreds digit. Write zeros as the tens and ones digits.
• Find the place to which you want to round. • Look at the digit to the right. • If the digit is less than 5, the digit in the rounding place stays the same. • If the digit is 5 or greater, the digit in the rounding place increases by one. • Write zeros for the digits to the right of the rounding place.
So, 457 rounded to the nearest hundred is _.
Module 4
101
Hands On
Another Way
Use a number line to round.
Locate and label 718 on the number lines.
A Round 718 to the nearest ten.
700
710
B Round 718 to the nearest hundred.
720
700
750
800
718 is closer to _ than it is
718 is closer to _ than it is
to _.
to _.
So, 718 rounds to _.
So, 718 rounds to _.
Math Talk
Share Share and and Show Show
Mathematical Processes
What is the greatest number that rounds to 50 when rounded to the nearest ten? What is the least number? Explain.
Locate and label 46 on the number line. Round to the nearest ten.
30
40
50
60
1.
46 is closer to _ than it is to _.
2.
46 rounded to the nearest ten is _.
Round to the nearest ten. 3.
Round to the nearest hundred.
51 _
4.
463 _
5.
576 _
_
102
6.
298 _
_
7.
844 _
_
© Houghton Mifflin Harcourt Publishing Company
Round to the nearest ten and hundred.
Name
Problem Problem Solving Solving Use the table for 8–11. 8.
On which day did about 900 visitors come to the giraffe exhibit?
Visitors itors to the Giraffe Exhibit Day y
9.
© Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Peter Barritt/Alamy Images
10.
To the nearest ten, how many visitors came to the giraffe exhibit on Sunday?
To the nearest hundred, how many visitors came to the giraffe exhibit on Tuesday ?
11.
Multi-Step On which two days did about 800 visitors come to the giraffe exhibit?
12.
Write five numbers that round to 360 when rounded to the nearest ten.
13.
What’s the Error? Cole said that 555 rounded to the nearest ten is 600. What is Cole’s error? Explain.
Number of Visitors
Sunday day
894
Monday day
793
Tuesday day
438
nesday Wednesday
362
Thursday sday
839
Friday ay
725
rday Saturday
598
Write Math
Show Your Work
Module 4 • Lesson 1 103
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. 14.
15.
16.
A fountain shoots water 460 feet into the air. Which shows 460 rounded to the nearest hundred? A
450
B
400
C
470
D
500
Use Tools Which number rounds to 300 when rounded to the nearest hundred? A
380
B
328
C
249
D
360
Multi-Step A train has four cars. There are 29 people in the first car and 39 people in the second car. There are 33 people in the third car and 42 people in the fourth car. Which is closest to the total number of people in the second and third car? A
70
C
80
B
50
D
90
TEXAS Test Prep
104
Use Tools What is 438 rounded to the nearest ten? A
400
B
440
C
450
D
430
© Houghton Mifflin Harcourt Publishing Company
17.
Number and Operations—3.4.B Also 3.2.C MATHEMATICAL PROCESSES 3.1.A, 3.1.C
H o mewo rk and Practice
4.1
Name
Round to the Nearest Ten or Hundred
Locate and label 739 on the number line. Round to the nearest hundred.
600
700
800
1.
700 800 . 739 is between _ and _
2.
739 is closer to _ than it is to _.
3.
739 rounded to the nearest hundred is _.
900
Round to the nearest ten and hundred. 4.
636 _
5.
198 _
_
6.
_
_ 7.
215 _
8.
767 _
_
547 _
9.
_
852 _
_
Problem Problem Solving Solving
© Houghton Mifflin Harcourt Publishing Company
10.
A team sweatshirt costs $38. What is this cost rounded to the nearest ten dollars?
11.
There are 372 workers at a software company. What is this number rounded to the nearest hundred?
Module 4 • Lesson 1 105
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. Which number rounds to 340 when rounded to the nearest ten?
13.
Which number rounds to 500 when rounded to the nearest hundred?
A
345
A
552
B
334
B
548
C
335
C
446
D
346
D
560
Use the table for 14–16. 14.
15.
106
Hot Lunches Sold at Brown School
Which is the number of hot lunches sold on Monday rounded to the nearest ten?
Number of Hot Lunches Sold
Day Monday
448
A
400
Tuesday
402
B
450
Wednesday
382
C
500
Thursday
393
D
440
Friday
476
Multi-Step Which is closest to the total number of hot lunches sold on Thursday and Friday? A
400
B
800
C
500
D
900
16.
Multi-Step Which is closest to the difference of the number of hot lunches sold on Monday and Tuesday? A
50
B
60
C
100
D
40
© Houghton Mifflin Harcourt Publishing Company
12.
4.1 ?
Round to the Nearest Ten or Hundred
Essential Question
Number and Operations—3.4.B Also 3.2.C MATHEMATICAL PROCESSES 3.1.A, 3.1.C
How can you round numbers?
Unlock Unlock the the Problem Problem Mia’s baseball bat is 32 inches long. What is its length rounded to the nearest ten inches?
One Way
Use place value to round.
A Round 32 to the nearest ten. Think: The digit in the ones place tells if the number is closer to 30 or 40.
2
●5
Remember When you round a number, you find a number that tells you about how much or about how many.
32
↑
So, the tens digit stays the same. Write 3 as the tens digit. Write zero as the ones digit. So, the length of Mia’s bat rounded to the nearest ten inches is _ inches. B Round 457 to the nearest hundred. Think: The digit in the tens place tells if the number is closer to 400 or 500.
5
●5
457 ↑
© Houghton Mifflin Harcourt Publishing Company
So, the hundreds digit increases by one. Write 5 as the hundreds digit. Write zeros as the tens and ones digits.
• Find the place to which you want to round. • Look at the digit to the right. • If the digit is less than 5, the digit in the rounding place stays the same. • If the digit is 5 or greater, the digit in the rounding place increases by one. • Write zeros for the digits to the right of the rounding place.
So, 457 rounded to the nearest hundred is _.
Module 4
101
Hands On
Another Way
Use a number line to round.
Locate and label 718 on the number lines.
A Round 718 to the nearest ten.
700
710
B Round 718 to the nearest hundred.
720
700
750
800
718 is closer to _ than it is
718 is closer to _ than it is
to _.
to _.
So, 718 rounds to _.
So, 718 rounds to _.
Math Talk
Share Share and and Show Show
Mathematical Processes
What is the greatest number that rounds to 50 when rounded to the nearest ten? What is the least number? Explain.
Locate and label 46 on the number line. Round to the nearest ten.
30
40
50
60
1.
46 is closer to _ than it is to _.
2.
46 rounded to the nearest ten is _.
Round to the nearest ten. 3.
Round to the nearest hundred.
51 _
4.
463 _
5.
576 _
_
102
6.
298 _
_
7.
844 _
_
© Houghton Mifflin Harcourt Publishing Company
Round to the nearest ten and hundred.
Name
Problem Problem Solving Solving Use the table for 8–11. 8.
On which day did about 900 visitors come to the giraffe exhibit?
Visitors itors to the Giraffe Exhibit Day y
9.
© Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Peter Barritt/Alamy Images
10.
To the nearest ten, how many visitors came to the giraffe exhibit on Sunday?
To the nearest hundred, how many visitors came to the giraffe exhibit on Tuesday ?
11.
Multi-Step On which two days did about 800 visitors come to the giraffe exhibit?
12.
Write five numbers that round to 360 when rounded to the nearest ten.
13.
What’s the Error? Cole said that 555 rounded to the nearest ten is 600. What is Cole’s error? Explain.
Number of Visitors
Sunday day
894
Monday day
793
Tuesday day
438
nesday Wednesday
362
Thursday sday
839
Friday ay
725
rday Saturday
598
Write Math
Show Your Work
Module 4 • Lesson 1 103
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. 14.
15.
16.
A fountain shoots water 460 feet into the air. Which shows 460 rounded to the nearest hundred? A
450
B
400
C
470
D
500
Use Tools Which number rounds to 300 when rounded to the nearest hundred? A
380
B
328
C
249
D
360
Multi-Step A train has four cars. There are 29 people in the first car and 39 people in the second car. There are 33 people in the third car and 42 people in the fourth car. Which is closest to the total number of people in the second and third car? A
70
C
80
B
50
D
90
TEXAS Test Prep
104
Use Tools What is 438 rounded to the nearest ten? A
400
B
440
C
450
D
430
© Houghton Mifflin Harcourt Publishing Company
17.
Number and Operations—3.4.B Also 3.2.C MATHEMATICAL PROCESSES 3.1.A, 3.1.C
H o mewo rk and Practice
4.1
Name
Round to the Nearest Ten or Hundred
Locate and label 739 on the number line. Round to the nearest hundred.
600
700
800
1.
700 800 . 739 is between _ and _
2.
739 is closer to _ than it is to _.
3.
739 rounded to the nearest hundred is _.
900
Round to the nearest ten and hundred. 4.
636 _
5.
198 _
_
6.
_
_ 7.
215 _
8.
767 _
_
547 _
9.
_
852 _
_
Problem Problem Solving Solving
© Houghton Mifflin Harcourt Publishing Company
10.
A team sweatshirt costs $38. What is this cost rounded to the nearest ten dollars?
11.
There are 372 workers at a software company. What is this number rounded to the nearest hundred?
Module 4 • Lesson 1 105
TEXAS Test Prep
Lesson Lesson Check Check Fill in the bubble completely to show your answer. Which number rounds to 340 when rounded to the nearest ten?
13.
Which number rounds to 500 when rounded to the nearest hundred?
A
345
A
552
B
334
B
548
C
335
C
446
D
346
D
560
Use the table for 14–16. 14.
15.
106
Hot Lunches Sold at Brown School
Which is the number of hot lunches sold on Monday rounded to the nearest ten?
Number of Hot Lunches Sold
Day Monday
448
A
400
Tuesday
402
B
450
Wednesday
382
C
500
Thursday
393
D
440
Friday
476
Multi-Step Which is closest to the total number of hot lunches sold on Thursday and Friday? A
400
B
800
C
500
D
900
16.
Multi-Step Which is closest to the difference of the number of hot lunches sold on Monday and Tuesday? A
50
B
60
C
100
D
40
© Houghton Mifflin Harcourt Publishing Company
12.
