Name 1.5 Round Decimals
Name
1 . 5 Round Decimals
? Essential Question How can you use place value to round decimals to a given place?
Number and Operations--5.2.C
MATHEMATICAL PROCESSES 5.1.A, 5.1.E
UUnnlloocckk tthhee PPrroobblleemm
The Gold Frog of South America is one of the smallest frogs in the world. It is 0.386 of an inch long. What is this length rounded to the nearest hundredth of an inch?
One Way Use a place-value chart.
? Underline the length of the Gold Frog. ? Is the frog's length about the same
as the length or the width of a large paper clip?
? Write the number in a place-value chart and circle the digit in the place value to which you want to round.
? In the place-value chart, underline the digit to the right of the place to which you are rounding.
? If the digit to the right is less than 5, the digit in the place value to which you are rounding stays the same. If the digit to the right is 5 or greater, the digit in the rounding place increases by 1.
? Drop the digits after the place to which you are rounding.
So, to the nearest hundredth of an inch, a Gold Frog is
Ones Tenths Hundredths Thousandths
0?3
8
6
Think: Does the digit in the rounding place stay the same or increase by 1?
about __ of an inch long.
Another Way Use place value.
The Little Grass Frog is the smallest frog in North America. It is 0.437 of an inch long.
A What is the length of the frog to the nearest hundredth of an inch?
B What is the length of the frog to the nearest tenth of an inch?
0.437
0.44
7 > 5
0.437
0.4
3 < 5
So, to the nearest hundredth of an inch, the frog is
about __ of an inch long.
So, to the nearest tenth of an inch, the frog is about
__ of an inch long.
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Module 1 29
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Write the place value of the underlined digit. Round each number to the place of the underlined digit.
1. 0.673
___ ___
2. 4.282
___ ___
Name the place value to which each number was rounded.
4. 0.982 to 0.98
___
5. 3.695 to 4
___
3. 12.917
___ ___
6. 7.486 to 7.5
___
PPrroobblleemm SSoollvviinngg
Write the place value of the underlined digit. Round each number to the place of the underlined digit.
7. 0.592
___
8. 6.518
___
___
___
Round 16.748 to the place named.
10. tenths __
11. hundredths __
9. 0.809
___ ___
12. ones __
13. Write Math Explain why any number less than 12.5 and greater than or equal to 11.5 would round to 12 when rounded to the nearest whole number.
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14. Write Math nearest tenth.
Explain what happens when you round 4.999 to the
30
Name
PPrroobblleemm SSoollvviinngg
Use the table for 15?18. 15. The speeds of two insects when rounded
to the nearest whole number are the same. Which two insects are they?
16. What is the speed of the housefly rounded to the nearest hundredth?
Insect Speeds (meters per second)
Insect
Speed
Dragonfly
6.974
Horsefly
3.934
Bumblebee
2.861
Honeybee
2.548
Housefly
1.967
17. The speed of an insect is about 3.9 meters per second. Which insect could it be?
Write Math Show Your Work
18.
What's the Error? Mark said
that the speed of a dragonfly rounded to the
nearest tenth was 6.9 meters per second. Is he
correct? If not, what is his error?
19.
Multi-Step A rounded number for the speed
of an insect is 5.67 meters per second. What are the fastest
and slowest speeds to the thousandths that could round to
5.67? Explain.
? Houghton Mifflin Harcourt Publishing Company ? Image Credits: (tr) ?Don Farrall/Getty Images
Module 1 ? Lesson 5 31
DDaaiillyy AAsssseessssmmeenntt TTaasskk
Fill in the bubble completely to show your answer.
20. Chef Round uses 1.257 kilograms of meat for his famous meatballs. There are four packages at the market. Which amount is closest to 1.257 kilograms? A 1.26 kg B 1.2 kg C 1.3 kg D 1.35 kg
21. Representations The table shows the neck lengths for four giraffes in the Long-Necked Friends Sanctuary. Which two giraffes have necks that are the same length when rounded to the nearest tenth?
A Spot and Stretch B Mittens and Spot C Mittens and Stretch D Spot and Zippy
Giraffe's Name Neck Length (feet)
Mittens
5.632
Spot
5.725
Stretch
5.405
Zippy
5.657
22. Multi-Step Janis sells friendship bracelets at a fair. She has three bracelets that are 16.53 cm, 16.755 cm, and 16.55 cm long. She wants to label the lengths to the nearest tenth of a centimeter. In order, how should she label the bracelets?
A 16.5 cm, 16.76 cm, 16.6 cm
B 16.6 cm, 16.7 cm, 16.5 cm
C 16.5 cm, 16.8 cm, 16.6 cm
D 16.3 cm, 16.5 cm, 16.5 cm
Mathematical Processes Model ? Reason ? Communicate
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TEXAS Test Prep
23. To which place value is the number rounded?
6.706 to 6.71
A ones
C hundredths
B tenths
D thousandths
32
Homework and Practice
Name
1 . 5 Round Decimals
Write the place value of the underlined digit. Round each number to the place of the underlined digit.
1. 0.782
2. 4.071
Number and Operations--5.2.C MATHEMATICAL PROCESSES 5.1.A, 5.1.E
3. 21.939
4. 8.155
5. 34.09
6. 4.276
Round 8.293 to the place named.
7. hundredths _
8. tenths _
Round 12.462 to the place named.
10. tenths _
11. hundredths _
9. ones _ 12. ones _
PPrroobblleemm SSoollvviinngg
13. What is Anita's speed rounded to the nearest hundredth?
14. The speeds of two runners when rounded to the nearest tenth are the same. Which two runners are they?
Runner Speeds (meters per second)
Runner
Speed
Luke
0.178
Margola
0.169
Anita
0.277
Shateel
0.289
? Houghton Mifflin Harcourt Publishing Company
Module 1 ? Lesson 5 33
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TEXAS Test Prep
Fill in the bubble completely to show your answer.
15. To which place value is the number rounded? 8.293 to 8.29
A ones B tenths C hundredths D thousandths
16. To which place value is the number rounded? 0.799 to 0.8
A ones B tenths C hundredths D thousandths
17. Which number is 5.389 rounded to the nearest hundredth? A 5.4 B 5.38 C 5.39 D 5.399
18. Which number is 7.323 rounded to the nearest tenth? A 7.3 B 7.4 C 7.32 D 7.33
19. A baker uses 2.327 kilograms of blueberries for muffins. There are four packages at the fruit market. Which amount is closest to 2.327 kilograms? A 2.3 kg B 2.42 kg C 2.33 kg D 2.4 kg
20. Multi-Step The chart shows the length of each student's pencil. Which person has a pencil length that can be rounded up to the nearest tenth of an inch?
A Lori
B Ping
C Jason
D Annie
Student Lori Ping Jason Annie
Pencil Length (inches) 6.61 5.055 4.91 6.5
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34
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