EM2 Tennessee Learn | Grade 5 Module 4 by General

A Story of Units®

Fractions Are Numbers LEARN ▸ Module 4 ▸ Place Value Concepts for Decimal Operations

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because . . . .

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? Why?

What does this painting have to do with math? Color and music fascinated Wassily Kandinsky, an abstract painter and trained musician in piano and cello. Some of his paintings appear to be “composed” in a way that helps us see the art as a musical composition. In math, we compose and decompose numbers to help us become more familiar with the number system. When you look at a number, can you see the parts that make up the total? On the cover Thirteen Rectangles, 1930 Wassily Kandinsky, Russian, 1866–1944 Oil on cardboard Musée des Beaux-Arts, Nantes, France Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musée des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY

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Great Minds® is the creator of Eureka Math®, Wit & Wisdom®, Alexandria Plan™, and PhD Science®. Published by Great Minds PBC. greatminds.org Copyright © 2022 Great Minds PBC. All rights reserved. No part of this work may be reproduced or used in any form or by any means—graphic, electronic, or mechanical, including photocopying or information storage and retrieval systems—without written permission from the copyright holder. Printed in the USA 1 2 3 4 5 6 7 8 9 10 XXX 25 24 23 22 21 ISBN 978-1-63898-517-4

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A Story of Units®

Fractions Are Numbers ▸ 5 LEARN

Module

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1 2 3 4 5 6

Place Value Concepts for Multiplication and Division with Whole Numbers

Addition and Subtraction with Fractions

Multiplication and Division with Fractions

Place Value Concepts for Decimal Operations

Addition and Multiplication with Area and Volume

Foundations to Geometry in the Coordinate Plane

06-Dec-21 2:55:55 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4

Contents Place Value Concepts for Decimal Operations Topic A

Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

Understanding Decimal Numbers with Place Value and Fraction Thinking

Add decimal numbers by using place value understanding.

Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Model and relate decimal place value units to thousandths.

Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101 Subtract decimal numbers by using different methods.

Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

Represent thousandths as a place value unit.

Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Represent decimal numbers to the thousandths place in different forms. Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Relate the values of digits in a decimal number by using place value understanding.

Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Multiply and divide decimal numbers by powers of 10.

Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Compare decimal numbers to the thousandths place.

Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Round decimal numbers to the nearest one, tenth, or hundredth.

Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Round decimal numbers to any place value unit.

Topic B Addition and Subtraction of Decimal Numbers Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Add decimal numbers by using different methods.

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Subtract decimal numbers by using place value understanding.

Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Solve word problems involving addition and subtraction of decimal numbers and fractions.

Topic C Multiplication of Decimal Numbers Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Multiply decimal numbers to hundredths by one-digit whole numbers by using different models.

Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 Multiply decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using different written methods.

Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Multiply decimal numbers to hundredths by two-digit whole numbers by using area models and vertical form. Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 Multiply decimal numbers to hundredths by two-digit whole numbers by using different methods.

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EUREKA MATH2 Tennessee Edition

5 ▸ M4

Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165

Lesson 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221

Relate decimal-number multiplication to fraction multiplication.

Divide decimal numbers by decimal numbers, resulting in whole-number quotients. (Optional)

Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 Multiply a decimal number by a decimal number.

Lesson 25 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229 Divide decimal numbers by decimal numbers, resulting in decimal-number quotients. (Optional)

Topic D Division of Decimal Numbers Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using unit form and place value understanding.

Lesson 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193

Topic E Applications of Decimals Lesson 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 Solve a real-world problem involving metric measurements.

Lesson 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253 Convert metric measurements involving decimals.

Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using place value understanding and vertical form.

Lesson 28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259 Convert customary measurements involving decimals.

Lesson 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205

Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267

Divide decimal numbers to hundredths by two-digit whole numbers.

Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 268

Lesson 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Relate division by 0.1 and 0.01 to division by a unit fraction.

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 1

Name

Date

1. Complete the equations.

1 one = 10 1 one = 100 1 one = 1,000

2. Complete the table. Unit Form

Fraction Form

Decimal Form

1 tenth 1 hundredth 1 thousandth

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LESSON

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1 tenth =

1 tenth is

1 one =

1 one is

1 one =

1 tenth =

× 1 one

1 hundredth =

1 one. 1 hundredth is

× 1 tenth

1 tenth. 1 tenth is

tenths 1 hundredth =

1 hundredth =

× 1 tenth

1 thousandth =

1 tenth. 1 thousandth is

× 1 hundredth

1 hundredth. 1 hundredth is

hundredths

3. Use the place value disks shown to complete the equations and statements.

× 1 hundredth

1 hundredth.

× 1 thousandth

1 thousandth.

thousandths

5 ▸ M4 ▸ TA ▸ Lesson 1 EUREKA MATH2 Tennessee Edition

06-Dec-21 11:24:05 AM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 1

Date

Use the area model to complete parts (a) and (b). Each area model represents 1. a. The shaded area represents 1

b. How many of the unit you wrote in part (a) make 1?

a. The shaded area represents 1

b. How many of the unit you wrote in part (a) make 1?

a. The shaded area represents 1

b. How many of the unit you wrote in part (a) make 1?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 1

4. Label the tape diagram by using decimal form, fraction form, and unit form.

0.1 0.1 tenth

0.01 hundredth

thousandth

Use the place value disks shown to complete the statements and equations. 5.

1 one is

times as much as 1 tenth.

1 one =

× 1 tenth

1 tenth is

_____ as much as 1 one.

1 tenth =

× 1 one

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 1

1 tenth is

times as much as 1

1 tenth =

×1

1 hundredth is _____ as much as 1

1 hundredth =

×1

1 hundredth is

times as much as 1

1 hundredth =

×1

1 thousandth is

_____ as much as 1

1 thousandth =

×1

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PROBLEM SET

06-Dec-21 11:33:04 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 1

Match the equivalent numbers.

1 tenth

0.01

1 1,000

1 thousandth

0.1

10 100

10.

10 hundredths

0.10

1 10

11.

1 hundredth

0.001

1 100

PROBLEM SET

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06-Dec-21 11:33:05 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 1

Name

Date

1. Consider the tape diagram.

0.01

A a. Write the value that A represents in decimal form.

b. The value of A is

as much as 0.01.

2. Express the amount of water in the container in fraction form and decimal form. 0.01

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_____ =

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 2

Date

Shade the area model to represent the number. Then write the number in fraction form and decimal form. 1. 8 thousandths

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

Write the number represented in the area model in unit form, fraction form, and decimal form. 2.

LESSON

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06-Dec-21 11:34:01 AM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 2

Date

Write the number in decimal form. 1. 3 thousandths

____

3 = 1,000

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

2. 53 thousandths

____

53 = 1,000

3. 253 thousandths

253 ____ = 1,000

PROBLEM SET

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06-Dec-21 11:37:16 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

Write the number in fraction form. 4. 4 thousandths

5. 14 thousandths

0.004 = _______ 0.014 = _______

Write the unit form and decimal form of the number the place value disks show. 6.

tenths

hundredths

thousandth =

one

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tenths

hundredths

thousandths =

PROBLEM SET

06-Dec-21 11:37:17 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

tenths

thousandths =

9. Complete the table. Unit Form

Fraction Form

5 thousandths

5 ____ 1,000

hundredths tenths

68 ____ 1,000

thousandths

hundredth

Decimal Form

0.419

thousandths

2 tenths 3 thousandths

10. Consider the decimal number. Circle the unit form that does not correctly represent the decimal number. Then explain your choice.

0.572 5 tenths 7 hundredths 2 thousandths

5 tenths 72 thousandths

570 hundredths 2 thousandths

Explain.

PROBLEM SET

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06-Dec-21 11:37:18 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

Write the amount of water shown in fraction form and decimal form. 11.

12.

0.01 L

_______ L =

0.01 L

_______ L =

Write the given amount of water in decimal form. Shade the container to show the correct amount of water. 13.

14.

0.01 L

1 ____ L= 1,000

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0.01 L

7 ____ L= 1,000

PROBLEM SET

06-Dec-21 11:37:21 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 2

Shade the meter stick to represent each length. 15. 0.092 meters

1 meter

0.1 meter

0.01 meter

16. 0.192 meters

1 meter

0.1 meter

0.01 meter

PROBLEM SET

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06-Dec-21 11:37:21 AM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 2

Date

1. Write the number shown in the area model in decimal form.

2. Write each number in decimal form. a. 29 thousandths b. 564 thousandths

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5 ▸ M4 ▸ TA ▸ Lesson 3 ▸ Place Value Chart to Thousandths

tens

ones

tenths

hundredths

thousandths

EUREKA MATH2 Tennessee Edition

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06-Dec-21 2:36:06 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 3

Date

1. Write 85.509 in four different ways by using expanded form and expanded notation.

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06-Dec-21 11:39:12 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 3

Name

Date

1. Use the place value disks shown to complete parts (a)–(f).

a. The place value disks represent the number b. The digit

c. The digit 1 is in the d. The digit

place. It has a value of

The digit

. .

is in the tenths place. It has a value of

e. The digit 3 is in the f.

is in the tens place. It has a value of

place. It has a value of

place. It has a value of 0.007.

is in the

2. Use the place value chart to complete parts (a)–(e). Express the value of each digit in decimal form.

a. The digit

tens

ones

tenths

hundredths thousandths

place. It has a value of

c. The digit

is in the tens place. It has a value of

d. The digit

is in the

e. The digit 9 is in the

EM2_0504SE_A_L03_problem_set.indd 27

is in the tenths place. It has a value of

b. The digit 7 is in the

. . .

place. It has a value of 0.004. place. It has a value of

12/7/2021 2:21:40 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 3

Write the number in decimal form. Word Form

Decimal Form

Twelve and three hundred sixty-two thousandths

Twenty-five and thirty-nine thousandths

Seventy and six hundred eight thousandths

Write the decimal number as a mixed number. Then complete the expanded form or expanded notation. Decimal Number

6.275

13.018

74.481

90.302

PROBLEM SET

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Mixed Number

Expanded Form or Expanded Notation

6 + 0.2 +

1 ___ + _______ + 100

10 +

+ 4 × _____ + 8 × _______ + 1 × _______

7 × 10 + 4 ×

9×

+ 3 × 0.1 + 2 ×

12/7/2021 2:21:41 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 3

10. Represent 7.362 in two different ways by using expanded notation.

11. Represent 25.804 in two different ways by using expanded notation.

in decimal form. Consider Lisa’s number and 12. Mr. Evans asks his class to write 15 ____ 1,000 Scott’s number. 640

Lisa’s Number

Scott’s Number

15.640

15.64

Explain why both Lisa and Scott are correct.

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PROBLEM SET

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12/7/2021 2:21:41 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 3

Date

Represent 1.809 in two different ways by using expanded notation.

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06-Dec-21 11:46:25 AM

5 ▸ M4 ▸ TA ▸ Lesson 4 ▸ Place Value Chart to Thousandths

tens

ones

tenths

hundredths

thousandths

EUREKA MATH2 Tennessee Edition

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06-Dec-21 2:26:06 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

Name

Date

1. Complete the statements in the table.

__1 As Much As

10 Times As Much As

1 ten is 10 times as much as

1 as much as 1 one is --

1 one is 10 times as much as

1 tenth is 10 times as much as

1 as much as 1 tenth is --

1 as much as 1 hundredth is --

1 hundredth is 10 times as much as

10 1 thousandth is 1 as much as 10

. . . .

2. 4 hundredths is 10 times as much as 4 thousandths. a. Represent the statement on the place value chart.

ones

tenths

hundredths

thousandths

b. Write an equation to represent the statement.

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06-Dec-21 11:56:37 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

1 as much as 3 hundredths. 3. 3 thousandths is -10

a. Represent the statement on the place value chart. ones

tenths

hundredths

thousandths

b. Write an equation to represent the statement.

LESSON

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06-Dec-21 11:56:37 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

Name

Date

Use the place value chart to complete the statement and equation. 1.

tens

ones

tenths

hundredths thousandths

× 10

3 tenths is 10 times as much as

0.3 = 10 × 2.

tens

ones

tenths

hundredths thousandths

× 10

is 10 times as much as

= 10 × 3.

tens

ones

tenths

× 1 as much as 4 hundredths is __

1 0.04 = __ ×

hundredths thousandths

1 10

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06-Dec-21 12:02:24 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

tens

ones

tenths

hundredths thousandths

1 = __ ×

1 10

1 as much as is __

5. Consider the number shown.

4 7.3 5 5 a. What is the value of the boxed digit? b. What is the value of the underlined digit? c. Complete the equations to show the relationships between the boxed digit and the underlined digit.

= 10 × 1 = __ × 10

PROBLEM SET

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06-Dec-21 12:02:25 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

6. Consider the number shown.

8 2.2 2 3 a. What is the value of the underlined digit? 1 as much as the value of the b. Draw a box around the digit that has a value that is __ 10 underlined digit.

c. Write an equation to show the relationship between the boxed digit and the underlined digit.

7. Eddie and Jada each write a number. Eddie’s Number

Jada’s Number

63.297

25.349

a. Complete Eddie’s and Jada’s equations to show the relationship between the values of the 9s in their numbers. Eddie’s Equation

0.09 ×

= 0.009

Jada’s Equation

0.09 ÷

= 0.009

b. Explain how Eddie’s and Jada’s equations can have different operations to represent the same relationship.

c. Write an equation to show the relationship between the values of the 3s in Eddie’s and Jada’s numbers.

EM2_0504SE_A_L04_problem_set.indd 39

PROBLEM SET

06-Dec-21 12:02:26 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

8. Miss Baker rolls five dice.

She asks her class to use the amounts shown on the dice to write a number. She tells the class that they must follow two rules: •

1 as much as the value of the digit The value of the digit in the thousandths place must be __

•

Use the amount shown on each die once to write the greatest possible number.

in the hundredths place.

What number does Miss Baker want the class to write? Explain.

PROBLEM SET

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06-Dec-21 12:02:27 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 4

Name

Date

Consider the number shown.

0.2 2 4 a. What is the value of the boxed digit?

b. What is the value of the underlined digit?

c. Complete the equations to show the relationships between the boxed digit and the underlined digit.

= 10 × 1 = __ × 10

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06-Dec-21 11:58:30 AM

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06-Dec-21 11:58:30 AM

5 ▸ M4 ▸ TA ▸ Lesson 5 ▸ Place Value Chart to Thousandths

tens

ones

tenths

hundredths

thousandths

EUREKA MATH2 Tennessee Edition

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12/7/2021 2:23:34 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 5

Name

Date

1. Use the place value chart to complete the equations. tens

ones

tenths

hundredths thousandths

× 1,000

0.05 ×

0.05 × 10

Find the product and write it in standard form. 2. 0.9 × 102 =

3. 0.001 × 104 =

4. 1.7 × 103 =

5. Determine the power of 10 that will make a true statement.

4.06 ×

EM2_0504SE_A_L05_classwork.indd 45

= 4,060

06-Dec-21 12:03:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 5

6. Use the place value chart to complete the equations. tens

ones

tenths

hundredths thousandths

÷ 1,000

9÷

9 ÷ 10

Find the quotient and write it in standard form. Then write a related multiplication equation with the power of 10 expressed as a fraction. 7. 4 ÷ 10 =

8. 0.3 ÷ 102 =

9. 72.6 ÷ 103 =

10. Determine the power of 10 that makes a true statement.

43.2 ÷

LESSON

EM2_0504SE_A_L05_classwork.indd 46

= 0.432

06-Dec-21 12:03:48 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 5

Name

Date

Use the place value chart to complete the equations. 1.

tens

ones

tenths

hundredths thousandths

0.7 × 10 × 10 = 0.7 ×

× 10

0.7 × 10

× 10

tens

ones

tenths

hundredths thousandths

0.005 ×

0.005 × 10

0.4 ÷

× 1,000

tens

ones

tenths

hundredths thousandths

0.4 ÷ 10

÷ 100

tens

ones

tenths

hundredths thousandths

20 ÷ 20 ÷ 10

= =

÷ 1,000

EM2_0504SE_A_L05_problem_set.indd 47

12/7/2021 2:25:17 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 5

5. Consider the expression shown.

1.056 × 10 3 a. How does the exponent help you think about shifting the digits in the first factor to find the product?

b. Find the product.

6. Consider the expression shown.

2.7 ÷ 10 2 a. How does the exponent help you think about shifting the digits in the dividend to find the quotient?

b. Find the quotient.

Find the product or quotient and write it in standard form. 7. 0.327 × 10 =

10. 0.3 ÷ 102 =

PROBLEM SET

EM2_0504SE_A_L05_problem_set.indd 48

8. 5.04 ÷ 10 =

9. 1.68 × 102 =

11. 2.109 × 103 =

12. 45 ÷ 103 =

12/7/2021 2:25:17 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 5

13. Mrs. Chan weighs a watermelon and a kiwi. She asks her class to write an equation to show the relationship between the weight of the watermelon and the weight of the kiwi. Consider Sana’s and Noah’s equations. Sana’s Way

7.6 ÷ 100 = 0.076

Noah’s Way

Fruit

Weight (kilograms)

Watermelon

7.6

Kiwi

0.076

7.6 × 100 = 0.076

Sana and Noah use different operations, but both equations are correct. How?

Find the quotient. Then write a related multiplication equation with exponential form expressed as a fraction. 14. 1.56 ÷ 10 =

1.56 × __ = 10 1

16. 23.5 ÷ 10 2 =

23.5 × _____ =

EM2_0504SE_A_L05_problem_set.indd 49

15. 6.2 ÷ 10 2 =

6.2 × _____ =

17. 908 ÷ 10 3 =

908 × ______ =

PROBLEM SET

12/7/2021 2:25:17 PM

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12/7/2021 2:25:17 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 5

Date

1. Find the product and write it in standard form.

5.31 × 103 =

2. Find the quotient and write it in standard form.

0.7 ÷ 102 =

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12/7/2021 2:26:52 PM

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12/7/2021 2:26:52 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6 ▸ Compare Decimal Numbers Cards

3.743

0.374

7.43

3.43

37.43

0.37

3.074

37.431

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12/7/2021 2:28:44 PM

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12/7/2021 2:28:44 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

Name

Date

1. Complete the table. Then plot and label each number on the number line. Unit Form

Fraction Form

Standard Form

8 thousandths 3 thousandths 9 thousandths

0.01

Plot and label each number on the number line. Then use >, =, or < to compare the numbers. 2. 0.052

0.059

0.05

3. 18.721

18.72

EM2_0504SE_A_L06_classwork.indd 55

0.06

18.73

06-Dec-21 12:09:24 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

Write each number in the place value chart. Then use >, =, or < to compare the numbers. 4. 92.097

5. 1.488

92.09 tens

ones

tenths

hundredths thousandths

tens

ones

tenths

hundredths thousandths

14.88

6. Use >, =, or < to compare the numbers.

8.605

8.65

7. Use the Compare Decimal Numbers Cards. a. Use >, =, or < to compare the numbers on each flip of the cards.

b. Order the numbers from least to greatest.

LESSON

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06-Dec-21 12:09:25 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

Name

Date

Use >, =, or < to compare the numbers. 1. 8 tenths

8 hundredths

3. 24 thousandths

24 tenths

2. 15 hundredths

15 thousandths

4. 37 hundredths

372 thousandths

Plot and label each number on the number line. Then use >, =, or < to compare the numbers. 5. 0.253

0.258

0.25

6. 6.314

0.26

6.31

7. 17.268

6.32

17.27

17.26

EM2_0504SE_A_L06_problem_set.indd 57

17.27

06-Dec-21 12:24:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

Write each number on the place value chart. Then use >, =, or < to compare the numbers. 8. 12.56 tens

10. 24.91 tens

1.256 ones

9. 4.032 tenths

hundredths thousandths

11. 30.8

24.910 ones

tenths

tens

hundredths thousandths

tens

4.32 ones

tenths

hundredths thousandths

30.806 ones

tenths

hundredths thousandths

Use >, =, or < to compare the numbers. 12. 0.87

0.875

13. 0.523

14. 2.068

2.1

15. 18.403

18.41

17. 57.63

57.630

16. 28.137

28.13

PROBLEM SET

EM2_0504SE_A_L06_problem_set.indd 58

0.513

06-Dec-21 12:24:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

18. Use the number line to complete parts (a)–(c).

1.21

1.22

1.23

1.24

a. Plot the numbers.

1.22, 1.214, 1.239, 1.224 b. Use >, =, or < to compare the numbers.

1.214

1.22

1.224

1.239

1.224

c. Order the numbers from least to greatest. ,

Order the numbers from least to greatest. 19. 2.853, 28.53, 2.85, 0.853

20. 15.02, 15.002, 15.210, 150.2, 1.502

EM2_0504SE_A_L06_problem_set.indd 59

PROBLEM SET

06-Dec-21 12:24:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 6

21. Leo says that 2.368 is greater than 2.37 because 2.368 has more digits. Do you agree with Leo? Explain.

PROBLEM SET

EM2_0504SE_A_L06_problem_set.indd 60

06-Dec-21 12:24:35 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 6

Date

1. Use >, =, or < to compare the numbers.

1.32

2.14

1.32

1.075

1.32

1.320

1.32

0.884

1.32

1.5

2. Order the numbers from least to greatest.

1.09, 0.987, 1.012, 0.98, 1.1

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06-Dec-21 12:10:21 PM

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06-Dec-21 12:10:21 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 7

Date

1. Round 12.72 to the nearest tenth. Show your thinking on the number line.

12.72 ≈

2. Round 4.935 to the nearest hundredth. Show your thinking on the number line.

4.935 ≈

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06-Dec-21 12:27:45 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 7

3. Round 27.96 to the nearest tenth. Show your thinking on the number line.

27.96 ≈

4. Round 9.492 to the nearest hundredth. Draw a number line to show your thinking.

9.492 ≈

LESSON

EM2_0504SE_A_L07_classwork.indd 64

06-Dec-21 12:27:46 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 7

Date

Round the number to the given place. Show your thinking on the number line. 1. Nearest one

3 = 3 ones

2. Nearest one

16 = 16 ones

2.5 = 2 ones 5 tenths 2 = 2 ones

15 = 15 ones 15.7 ≈

2.3 ≈

3. Nearest tenth

4. Nearest tenth

0.8 = 8 tenths 0.75 = 7 tenths 5 hundredths 0.7 = 7 tenths 0.76 ≈

EM2_0504SE_A_L07_problem_set.indd 65

9.2 = 92 tenths 9.25 ≈

06-Dec-21 12:29:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 7

5. Nearest hundredth

6. Nearest hundredth

0.33 = 33 hundredths 0.325 = 32 hundredths 5 thousandths 0.32 = 32 hundredths 0.327 ≈

6.08 = 608 hundredths 6.084 ≈

Round the number to the given place. Draw a number line to show your thinking. 7. Nearest one

9.7 ≈

PROBLEM SET

EM2_0504SE_A_L07_problem_set.indd 66

8. Nearest tenth

13.02 ≈

06-Dec-21 12:30:01 PM

EUREKA MATH2 Tennessee Edition

9. Nearest hundredth

5 ▸ M4 ▸ TA ▸ Lesson 7

10. Nearest hundredth

5.305 ≈

2.798 ≈

11. Round each number to the nearest hundredth. Show your thinking on the number line. a.

0.816 ≈

0.824 ≈

c. What do you notice about your answers to parts (a) and (b)?

d. List as many numbers as you can that round to 0.82. Express each number to the thousandths place.

EM2_0504SE_A_L07_problem_set.indd 67

PROBLEM SET

06-Dec-21 12:30:02 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 7

12. Yuna pours 0.83 liters of water into a container. Shade and label the picture to show the amount of water in Yuna’s container rounded to the nearest tenth liter.

PROBLEM SET

EM2_0504SE_A_L07_problem_set.indd 68

06-Dec-21 12:30:02 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 7

Date

Round each number to the given place value. Show your thinking on the number line. 1. Nearest one

2.4 ≈

2. Nearest tenth

0.38 ≈

3. Nearest hundredth

2.169 ≈

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06-Dec-21 12:28:44 PM

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06-Dec-21 12:28:44 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Multiply or Divide by Powers of 10

Sprint Write the product or quotient. 1.

5 × 100 =

5 × 102 =

8,000 ÷ 1,000 =

8,000 ÷ 103 =

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12/7/2021 3:35:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Multiply or Divide by Powers of 10

Number Correct:

Write the product or quotient. 1.

4 × 100 =

23.

5 × 104 =

4 × 102 =

24.

6 × 105 =

24 × 102 =

25.

7 × 106 =

5 × 1,000 =

26.

8 × 106 =

5 × 103 =

27.

68 × 105 =

35 × 103 =

28.

368 × 104 =

6 × 10,000 =

29.

60,000 ÷ 104 =

6 × 104 =

30.

700,000 ÷ 105 =

46 × 104 =

31.

8,000,000 ÷ 106 =

10.

7 × 100,000 =

32.

9,000,000 ÷ 106 =

11.

7 × 105 =

33.

9,900,000 ÷ 105 =

12.

57 × 105 =

34.

4,990,000 ÷ 104 =

13.

300 ÷ 100 =

35.

3 × 102 =

14.

300 ÷ 102 =

36.

4 × 103 =

15.

6,300 ÷ 102 =

37.

50 × 102 =

16.

4,000 ÷ 1,000 =

38.

60 × 104 =

17.

4,000 ÷ 103 =

39.

637 × 103 =

18.

74,000 ÷ 103 =

40.

737 × 105 =

19.

50,000 ÷ 10,000 =

41.

70,000 ÷ 102 =

20.

50,000 ÷ 104 =

42.

8,000,000 ÷ 104 =

21.

850,000 ÷ 104 =

43.

8,090,000 ÷ 103 =

22.

1,850,000 ÷ 104 =

44.

90,900,000 ÷ 105 =

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12/7/2021 2:32:30 PM

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12/7/2021 2:32:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Multiply or Divide by Powers of 10

Number Correct: Improvement:

Write the product or quotient. 1.

3 × 100 =

23.

4 × 104 =

3 × 102 =

24.

5 × 105 =

13 × 102 =

25.

6 × 106 =

4 × 1,000 =

26.

7 × 106 =

4 × 103 =

27.

57 × 105 =

24 × 103 =

28.

257 × 104 =

5 × 10,000 =

29.

50,000 ÷ 104 =

5 × 104 =

30.

600,000 ÷ 105 =

35 × 104 =

31.

7,000,000 ÷ 106 =

10.

6 × 100,000 =

32.

8,000,000 ÷ 106 =

11.

6 × 105 =

33.

8,800,000 ÷ 105 =

12.

46 × 105 =

34.

3,880,000 ÷ 104 =

13.

200 ÷ 100 =

35.

2 × 102 =

14.

200 ÷ 102 =

36.

3 × 103 =

15.

5,200 ÷ 102 =

37.

40 × 102 =

16.

3,000 ÷ 1,000 =

38.

50 × 104 =

17.

3,000 ÷ 103 =

39.

526 × 103 =

18.

63,000 ÷ 103 =

40.

626 × 105 =

19.

40,000 ÷ 10,000 =

41.

60,000 ÷ 102 =

20.

40,000 ÷ 104 =

42.

7,000,000 ÷ 104 =

21.

740,000 ÷ 104 =

43.

7,080,000 ÷ 103 =

22.

1,740,000 ÷ 104 =

44.

80,800,000 ÷ 105 =

EM2_0504SE_A_L08_removable_fluency_sprint_multiply_or_divide_by_powers_of_ten.indd 74

12/7/2021 2:32:31 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 8

Name

Date

1. The numbers shown are estimates for each situation. For each situation, match the number that best completes the statement.

29.45

The library lends about books for each cardholder each year.

Miss Song works about each week.

29.5

The next highway exit is about kilometers away.

hours

2. Round 7.209 to each given place. Show your thinking on the number line. a. Nearest one

7.209 ≈

EM2_0504SE_A_L08_classwork.indd 75

06-Dec-21 12:31:06 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 8

b. Nearest tenth

7.209 ≈ c. Nearest hundredth

7.209 ≈ 3. Round 19.206 to each given place value. a. Nearest ten

b. Nearest one

c. Nearest tenth

d. Nearest hundredth

19.206 ≈

LESSON

EM2_0504SE_A_L08_classwork.indd 76

19.206 ≈

06-Dec-21 12:31:07 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 8

Date

Round the number to the given place. Show your thinking on the number line. 1. 4.325 a. Nearest one

4.325 ≈

b. Nearest tenth

4.325 ≈

c. Nearest hundredth

4.325 ≈

EM2_0504SE_A_L08_problem_set.indd 77

06-Dec-21 12:33:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 8

2. 18.706 a. Nearest one

b. Nearest tenth

18.706 ≈

c. Nearest hundredth

18.706 ≈ d. What do you notice about the ones in the rounded numbers in parts (a)–(c)?

PROBLEM SET

EM2_0504SE_A_L08_problem_set.indd 78

06-Dec-21 12:33:20 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 8

Round the number to the nearest ten.

5. 167.158 ≈

Round the number to the nearest one.

8. 62.537 ≈

3. 74.26 ≈

6. 3.85 ≈

4. 85.07 ≈

7. 12.026 ≈

Round the number to the nearest tenth.

11. 21.650 ≈

Round the number to the nearest hundredth.

14. 60.001 ≈

9. 1.276 ≈

12. 9.841 ≈

10. 4.018 ≈

13. 34.025 ≈

15. Ryan’s fitness watch shows that he walked 2.538 kilometers. Ryan says, “I walked about 3 kilometers.” His sister says, “You walked about 2.5 kilometers.” Use a number line and words to explain how both Ryan and his sister are correct.

EM2_0504SE_A_L08_problem_set.indd 79

PROBLEM SET

06-Dec-21 12:33:21 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TA ▸ Lesson 8

16. Miss Song pours water into a container. She asks the class to write about how much water is in the container. Kelly, Lisa, and Blake all have different answers. Kelly’s Answer

Lisa’s Answer

Blake’s Answer

0 liters

0.4 liters

0.48 liters

Whose answer makes the most sense? Explain.

PROBLEM SET

EM2_0504SE_A_L08_problem_set.indd 80

06-Dec-21 12:33:22 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TA ▸ Lesson 8

Date

Round 44.897 to each given place. a. Nearest ten

b. Nearest one

c. Nearest tenth

d. Nearest hundredth

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06-Dec-21 12:32:02 PM

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06-Dec-21 12:32:02 PM

EUREKA MATH2 Tennessee Edition

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5 ▸ M4 ▸ TB ▸ Lesson 9 ▸ Number Line

06-Dec-21 2:40:16 PM

EM2_0504SE_B_L09_removable_number_line.indd 84

06-Dec-21 2:40:16 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 9

Name

Date

Add. Show your work by using a number line. 1. 5.7 + 0.5 =

2. 1.8 + 3.4 =

3. 0.27 + 0.59 =

Add. Show your work by using a number bond. 4. 0.7 + 0.5 =

EM2_0504SE_B_L09_problem_set.indd 85

5. 0.06 + 0.09 =

06-Dec-21 12:44:04 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 9

6. 0.8 + 1.6 =

7. 0.95 + 1.07 =

Add. Show your work by using the arrow way. 9. 2.07 + 0.05 =

8. 3.8 + 0.4 =

3.8

2.07

10. 1.05 + 3.96 =

11. 4.85 + 1.29 =

Add. Write the sum in standard form. 12. 2 tenths + 3 tenths =

tenths =

13. 6 hundredths + 2 hundredths =

14. 5 tenths + 2 tenths =

tenths =

15. 21 hundredths + 13 hundredths =

PROBLEM SET

EM2_0504SE_B_L09_problem_set.indd 86

hundredths =

06-Dec-21 12:44:06 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 9

Add. 16. 2.7 + 1.5 =

17. 3.08 + 1.03 =

18. 4.25 + 2.96 =

19. 5.12 + 6.89 =

EM2_0504SE_B_L09_problem_set.indd 87

PROBLEM SET

06-Dec-21 12:44:07 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 9

Use the Read–Draw–Write process to solve each problem. 20. Adesh walks 2.88 kilometers on Saturday. He walks 3.15 kilometers on Sunday. a. How many kilometers does Adesh walk in all?

b. Julie walks 1.98 kilometers more than Adesh. How many kilometers does Julie walk?

21. Container A has 2.75 liters of water. Container B has 3.5 liters of water. Container C has 2.9 liters of water more than containers A and B combined. How many liters of water are in container C?

PROBLEM SET

EM2_0504SE_B_L09_problem_set.indd 88

06-Dec-21 12:44:07 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 9

Date

Add. Show your work. 1. 1.1 + 1.7 =

2. 3.9 + 4.51 =

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12/15/2021 10:04:17 AM

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06-Dec-21 12:38:45 PM

5 ▸ M4 ▸ TB ▸ Lesson 10 ▸ Place Value Chart to Hundredths

tens

ones

tenths

hundredths

EUREKA MATH2 Tennessee Edition

EM2_0504SE_B_L10_removable_place_value_chart_to_hundredths.indd 91

06-Dec-21 2:41:31 PM

EM2_0504SE_B_L10_removable_place_value_chart_to_hundredths.indd 92

06-Dec-21 2:41:31 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 10

Date

Use the Read–Draw–Write process to solve the problem. 1. Sana orders a sandwich and a salad from a café. The sandwich costs $8.55. The salad costs $2.54 more than the sandwich. How much does the sandwich and the salad cost in all?

EM2_0504SE_B_L10_classwork.indd 93

06-Dec-21 12:48:05 PM

EM2_0504SE_B_L10_classwork.indd 94

06-Dec-21 12:48:05 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 10

Date

Add. Circle to show when you can compose a unit. Then record in vertical form. 1. 0.8 + 0.3

2. 0.08 + 0.03

0.8

+ 0.3

3. 2.8 + 1.3

4. 0.28 + 0.13

EM2_0504SE_B_L10_problem_set.indd 95

0.0 8 0.0 3

2.8 1.3

0.2 8 + 0.1 3

06-Dec-21 12:52:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 10

Add. Show your work on the place value chart. Then record in vertical form. 5. 0.5 + 0.12 ones

6. 1.15 + 2.3 tenths

hundredths

ones

tenths

7. 3.64 + 1.52 ones

8. 2.97 + 3.08 tenths

hundredths

ones

PROBLEM SET

EM2_0504SE_B_L10_problem_set.indd 96

hundredths

tenths

hundredths

06-Dec-21 12:52:17 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 10

Add by using the standard algorithm. 9. 0.63 + 0.7 =

0.6 3 + 0.7

11. 5.07 + 2.37 =

10. 3.1 + 0.92 =

12. 4.68 + 8.74 =

Add. 13. 0.71 + 0.6 =

14. 0.9 + 2.58 =

15. 4.62 + 2.03 =

16. 3.76 + 5.85 =

EM2_0504SE_B_L10_problem_set.indd 97

PROBLEM SET

06-Dec-21 12:52:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 10

Use the Read–Draw–Write process to solve each problem. 17. Lacy has $3.89 in her piggy bank. She finds $1.75 in her coat pocket. How much money does Lacy have in all?

18. Riley’s family drove 38.2 kilometers on Saturday. They drove 40.95 kilometers on Sunday. How many kilometers did Riley’s family drive in all on Saturday and Sunday?

PROBLEM SET

EM2_0504SE_B_L10_problem_set.indd 98

06-Dec-21 12:52:21 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 10

Date

Add. Show your work. 1. 1.9 + 7.2 =

2. 3.28 + 2.93 =

EM2_0504SE_B_L10_exit_ticket.indd 99

06-Dec-21 12:49:49 PM

EM2_0504SE_B_L10_exit_ticket.indd 100

06-Dec-21 12:49:49 PM

EUREKA MATH2 Tennessee Edition

EM2_0504SE_B_L11_removable_open_number_line.indd 101

5 ▸ M4 ▸ TB ▸ Lesson 11 ▸ Open Number Line

101

06-Dec-21 2:01:35 PM

EM2_0504SE_B_L11_removable_open_number_line.indd 102

06-Dec-21 2:01:35 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 11

Date

1. Jada is making lemonade. She has 2.4 liters of water in a pitcher. She pours 0.35 liters of lemon juice into the pitcher. Jada gets a spoon to stir the lemon juice and water, but her dog bumps the table. Some liquid spills out of the pitcher. The pitcher now has 2.25 liters of liquid. How many liters of liquid spilled out of the pitcher?

EM2_0504SE_B_L11_classwork.indd 103

103

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 11

Name

Date

Subtract. Write the difference in standard form. 1. 7 tenths − 4 tenths =

tenths =

2. 6 hundredths − 4 hundredths =

3. 12 tenths − 9 tenths =

hundredths =

tenths =

4. 58 hundredths − 23 hundredths =

hundredths =

Use a related addition equation to subtract. Let the letter represent the unknown part. Fill in the blanks and use the arrow way to record your thinking. 6. 5.21 − 3.75

5. 4.3 − 1.8 Related addition equation with unknown part d:

+d=

Related addition equation with unknown part w:

+w=

Arrow way:

4.3 − 1.8 =

5.21 − 3.75 =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 11

Subtract. Show your work by using a number bond. 7. 3.1 - 0.7 =

8. 4.63 - 0.08 =

9. 2.7 − 1.9 =

10. 5.11 − 2.87 =

Subtract. Show your work by using a number line. 11. 1 − 0.3

1 − 0.3 = 12. 0.1 − 0.02

0.1

0.1 − 0.02 =

106

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 11

13. 2.3 − 0.6

2.3 − 0.6 = 14. 3 − 0.04

3 − 0.04 =

Subtract. 15. 4.1 − 0.8 =

16. 5.3 − 2.9 =

17. 8.24 − 3.95 =

18. 9.4 − 7.55 =

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PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 11

Use the Read–Draw–Write process to solve each problem. 19. A large apple weighs 0.22 kilograms. A peach weighs 0.15 kilograms. How many more kilograms does the apple weigh than the peach?

20. Kayla earns $5.75 washing the dishes and $2.50 taking out the trash. She spends $4.89 on a notebook. How much money does Kayla have left?

108

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 11

Date

Subtract. Show your work. 1. 3.5 − 0.8 =

2. 7.35 − 1.97 =

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109

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5 ▸ M4 ▸ TB ▸ Lesson 12 ▸ Place Value Chart to Hundredths

tens

ones

tenths

hundredths

EUREKA MATH2 Tennessee Edition

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111

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 12

Name

Date

Subtract. Show your work on the place value chart. Then record in vertical form. 1. 2 − 1.3

2. 1.2 − 0.05

ones

tenths

hundredths

2.0 – 1.3

EM2_0504SE_B_L12_problem_set.indd 113

hundredths

tenths

hundredths

4. 2.3 − 1.41 tenths

hundredths

3.2 7 – 1.5 2

tenths

1.2 0 – 0.0 5

3. 3.27 − 1.52 ones

ones

2.3 0 – 1.4 1

113

06-Dec-21 2:04:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 12

Subtract by using the standard algorithm. 5. 5.2 − 1.9 =

6. 7.02 − 3.7 =

5.2 – 1.9

7.0 2 – 3.7 0

7. 6.17 − 3.88 =

8. 5.5 − 2.55 =

9. Ryan makes a mistake when finding 9.37 − 2.5. Consider Ryan’s work. Ryan's Work

9.3 7 2.5 9. 1 2

a. What mistake does Ryan make?

b. Find 9.37 − 2.5.

114

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 12

Use the Read–Draw–Write process to solve each problem. 10. Blake is choosing between two trails for a day hike. Trail A is 9.17 kilometers long. Trail B is 5.82 kilometers long. How much farther will Blake hike if he chooses trail A?

11. Kelly finishes a race in 19.2 seconds. Riley finishes the same race in 18.87 seconds. How many more seconds does it take Kelly to finish the race?

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PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 12

12. The table shows the distances that three different frogs jumped. Frog

Distance Jumped (meters)

1.87

3.34

1.08

How many more meters did frog B jump than frogs A and C combined?

116

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 12

Date

Subtract. Show your work.

6.61 − 4.79 =

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117

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

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119

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13

Name

Date

Use the Read–Draw–Write process to solve each problem.

1. Julie buys 1_3 pounds of apples and 2.5 pounds of pears. How many pounds of fruit does 4 Julie buy?

2. Ryan has 5.83 meters of rope. He uses 3 _2 meters of the rope to make a swing. How many meters 5

of rope does Ryan have left? Write the answer as a decimal number.

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123

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13

3. Jada’s car for a wooden car race is 2 _7 inches wide. The wooden car race rules say the car must 8 be 2.75 inches wide. a. Does Jada’s car follow the rule? Explain.

b. What is the difference between the width of Jada’s car and the width in the rule? Write the answer as a decimal number.

124

LESSON

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TB ▸ Lesson 13

Date

Use the Read–Draw–Write process to solve each problem. Write each answer as a decimal number. 1. A caterpillar is 5.8 centimeters long. It grows another _1 centimeter. 2

a. Rename the number of centimeters the caterpillar grows as a decimal number.

b. How many centimeters long is the caterpillar after it grows?

2. Julie has 1 _1 liters of water in her water bottle. She drinks 0.4 liters of water. How many liters 5

of water are left in Julie’s water bottle?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13

3. The total weight of a dog and the dog’s puppy is 36.35 kilograms. The dog weighs 31 _3 kilograms. 4 How many kilograms does the puppy weigh?

4. A green ribbon is 2 _5 inches long. A red ribbon is 6.25 inches long. What is the total length of both ribbons?

126

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13

5. Miss Song keeps track of how many miles she walks each day. Monday

Tuesday

Wednesday

Thursday

3.4 miles

3 _4 miles

4.6 miles

3 _8 miles

Friday

Miss Song’s goal is to walk 20 miles in 5 days. How many miles must Miss Song walk on Friday to meet her goal?

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PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TB ▸ Lesson 13

Name

Date

Use the Read–Draw–Write process to solve the problem. Write the answer as a decimal number.

Sana lives 2.45 miles from school. Noah lives 3 4 miles from school. How much farther from school does Noah live than Sana?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14 ▸ Multiplication Card Sort

ones

tenths

hundredths

2×4

8 tenths

4 times as much as 0.2

4 × 0.2

4+4

0.2 + 0.2 + 0.2 + 0.2

4 groups of 0.2

ones

tenths

2 groups of 4

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hundredths

2 times as much as 4

131

06-Dec-21 2:47:08 PM

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06-Dec-21 2:47:09 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14 ▸ Multiplication Models

Number Line

Place Value Chart

tens

ones

tenths

hundredths

Area Model

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133

06-Dec-21 2:48:37 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14

Name

Date

Write an expression to represent the description. Then find the product and write it in unit form and standard form. 1. 2 groups of 3 tenths

tenths =

2. 4 times as much as 2 hundredths

hundredths =

Multiply. Show your work by using a number line. 3. 2 × 0.6

0.1

0.2

2 × 0.6 =

4. 3 × 0.05

0 3 × 0.05 =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14

5. 5 × 0.2

5 × 0.2 =

Multiply. Show your work by using a place value chart. Then record your work in vertical form. 6. 2 × 0.46 = ones

tenths

hundredths

7. 2 × 2.5 = ones

tenths

hundredths

2. ×

136

PROBLEM SET

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5 2

06-Dec-21 2:45:23 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14

8. 4 × 2.33 = ones

tenths

hundredths

2. ×

3 4

Multiply. Show your work by using the area model to find the partial products. Add the partial products to find the product. 9. 4 × 3.6 ones

tenths

4 × 3.6 = 10. 6 × 1.13 one

hundredths

tenth

6 × 1.13 = © Great Minds PBC •

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PROBLEM SET

137

06-Dec-21 2:45:25 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14

Multiply. 11. 5 × 0.06 =

12. 2 × 0.34 =

13. 4 × 6.24 =

14. 4.13 × 8 =

15. 60 × 0.71 =

138

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 14

Use the Read–Draw–Write process to solve the problem. 16. Eddie needs 4 ribbons that are each 0.91 meters long. How many meters of ribbon does Eddie need in all?

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PROBLEM SET

139

06-Dec-21 2:45:26 PM

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 14

Date

Multiply. Show your work. 1. 6 × 3.05 =

2. 3 × 3.79 =

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141

06-Dec-21 2:43:18 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 15

Name

Date

Multiply. Express the product in unit form and standard form. 1. 2 × 0.32

hundredths =

2. 2 × 4.32

Multiply. Show your work using vertical form. 3. 3 × 2.6 =

4. 1.38 × 4 =

2 ×

EM2_0504SE_C_L15_problem_set.indd 143

5. 5 × 1.14 =

tenths

hundredths

6. 3.54 × 6 =

hundredths

143

06-Dec-21 2:51:54 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 15

7. Sasha and Toby use different strategies to find 30 × 4.1. Consider their work. Toby’s Way

Sasha’s Way

30 × 4.1 = (3 × 10) × 4.1

30 × 4.1 = (30 × 4) + (30 × 0.1)

= 3 × (10 × 4.1)

= 120 + 3

= 3 × 41

= 123

= 123 How did Sasha and Toby think about the factors in different ways to find the product? Explain.

8. Consider the expression.

70 × 4.91 a. Estimate the product.

70 × 4.91 ≈

b. Find the product.

70 × 4.91 =

c. Is your answer in part (b) reasonable? How do you know?

144

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 15

Find the product. 9. 8.14 × 5 =

10. 6 × 10.8 =

11. 3.8 × 20 =

12. 40 × 0.11 =

13. 3.12 × 400 =

14. 70 × 6.25 =

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PROBLEM SET

145

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 15

Use the Read–Draw–Write process to solve each problem. 15. Mr. Sharma drinks 1.89 liters of water each day for 7 days. How many liters of water does he drink in all?

16. Yuna has some money in her piggy bank. She adds $1.75 to her piggy bank each week for 5 weeks. Now she has $10.00 in her piggy bank. How much money does Yuna have in her piggy bank at the start?

146

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 15

Date

Multiply. Show your work. 1. 0.54 × 5 =

2. 5.03 × 20 =

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147

06-Dec-21 2:49:41 PM

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 16

Date

For each blank, roll a die. Write the number in the blank. When the blanks are filled in, find the product. 1. 0.

2. 78 ×

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× 91

149

06-Dec-21 2:52:59 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 16

Name

Date

Use the area model to find the product. 2. 41 × 0.23 =

1. 41 × 0.2 = tenths

tenths

hundredths

3. 4.6 × 32 = ones

tenths

2 30

4. 32 × 4.61 = ones

tenths

hundredths

2 30

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151

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 16

Find the partial products. Then add to find the product. 6. 58 × 4.21 =

5. 26 × 3.4 =

3 2

4 6

tenths

4 ×

2 5

1 8

hundredths

+ +

7. 2.48 × 35 =

2 ×

4 3

8 5

hundredths

152

PROBLEM SET

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06-Dec-21 3:00:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 16

Multiply. 8. 32 × 0.3 =

9. 21 × 0.42 =

10. 48 × 6.34 =

11. 7.02 × 34 =

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PROBLEM SET

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06-Dec-21 3:00:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 16

12. 65 × 8.2 =

13. 53 × 12.24 =

Use the Read–Draw–Write process to solve the problem. 14. Lacy rides her bike 8.05 kilometers each day for 31 days. How many kilometers does she ride her bike altogether?

154

PROBLEM SET

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06-Dec-21 3:00:16 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 16

Date

Multiply. Show your work.

38 × 7.3 =

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155

06-Dec-21 3:08:38 PM

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 17

Date

1. Consider Lisa’s way and Scott’s way, as shown. Lisa’s Way

Scott’s Way

2 . 5 × 18 = 45

2.5 × 18 = 45

2 . 5 × 18 = (2 + 0 . 5) × 18 = (2 × 18) 18) + (0 . 5 × 18) 18)

2.5 × 18 = 2.5 × (10 + 8) = (2.5 × 10) + (2.5 × 8)

= 36 + 9 = 45

= 25 + 20 = 45

2. Use Lisa’s way or Scott’s way to find 24 × 1.5.

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157

06-Dec-21 3:09:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 17

3. Consider Tyler’s way and Jada’s way as shown. Tyler’s Way

Jada’s Way

2 . 5 × 18 = 45

2.5 × 18 = 45

2 . 5 × 18 = (3 × 18 18)) – (0 . 5 × 18 18)) = 54 – 9

2.5 1 8

× 10

25 18

450 ÷ 10 = 45

200 + 250 450

= 45

4. Use Tyler’s way or Jada’s way to find 24 × 1.5.

158

LESSON

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 17

Name

Date

Multiply. Express the product in unit form and standard form. 1. 32 × 0.3

tenths =

2. 32 × 0.04

hundredths =

3. Use your answers in problems 1 and 2 to help you find 32 × 0.34. Show your work.

4. Consider the expression.

48 × 2.3 a. Estimate the product. Show your work.

48 × 2.3 ≈

b. Find the product. Show your work.

48 × 2.3 =

c. Is the answer you wrote in part (b) reasonable? How do you know?

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159

06-Dec-21 3:12:14 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 17

Find the product. 5. 43 × 0.2 =

6. 0.4 × 38 =

7. 3.8 × 21 =

8. 24 × 1.5 =

9. 3.6 × 35 =

10. 56 × 4.28 =

11. 97 × 5.12 =

12. 15.02 × 61 =

160

PROBLEM SET

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06-Dec-21 3:12:14 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 17

13. Kelly evaluated 3.6 × 24. Consider Kelly’s way. Kelly’s Way

3.6 × 24 = 86.4 3.6 × 24

× 10

36 24

864 ÷ 10 = 86. 86.4 4

144 1 +7 2 0 864 Explain how Kelly can use a similar strategy to find 3.67 × 24.

Use the Read–Draw–Write process to solve each problem. 14. The 24 students in Miss Song’s class each need 1.75 liters of water for a science experiment. How many liters of water do the students in Miss Song’s class need in all?

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PROBLEM SET

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06-Dec-21 3:12:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 17

15. The school cafeteria makes 43 boxes of pasta for lunch. Each box has 0.45 kilograms of pasta. a. How many kilograms of pasta are in 43 boxes?

b. The cafeteria serves 15.4 kilograms of pasta for lunch. How many kilograms of pasta are left to serve?

162

PROBLEM SET

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06-Dec-21 3:12:15 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 17

Date

Consider the expression.

72 × 3.7 a. Estimate the product.

72 × 3.7 ≈

b. Find the product. Show your work.

72 × 3.7 =

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163

06-Dec-21 3:11:10 PM

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06-Dec-21 3:11:10 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 18

EM2_0504SE_C_L18_classwork.indd 165

0.2 × 0.3 =

0.07 × 0.9 =

0.5 × 0.08 =

1.3 × 0.4 =

0.2 × 0.3

0.07 × 0.9

0.5 × 0.08

1.3 × 0.4

0.4 × 0.6 = 0.24 4 tenths × 6 tenths = 24 hundredths 10

100

6 24 4 × __ __ = ___

0.4 × 0.6

Unit Form Fraction Form

1. Complete the table to find each product. The first row is completed for you.

Date

Standard Form

Name

165

06-Dec-21 3:13:17 PM

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06-Dec-21 3:13:17 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 18

Name

Date

Complete the area model. Rename the numbers as fractions to multiply. Express the product in fraction form and standard form. Each area model represents 1. 1. 0.2 × 0.3 =

2. 0.4 × 0.7 =

_____

× _____ × _____ = ______ = _____ 10

Multiply. Express the product in unit form and standard form. 3. 0.8 × 0.4

tenths ×

tenths =

4. 0.8 × 0.04

tenths × © Great Minds PBC •

EM2_0504SE_C_L18_problem_set.indd 167

hundredths =

= 167

06-Dec-21 3:19:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 18

Rename the decimal numbers as fractions to multiply. Express the product in fraction form and standard form. 5. 3 × 0.5 =

6. 0.3 × 0.5 =

× _____ = ____ 10 10 ×

× _____ × _____ = ______ 10

= _____

7. 0.03 × 0.5 =

= _____

8. 1.2 × 4 =

× _____ × _____ = _______ ×

_____ ×

= _____ 10 ×

= _____

9. 1.2 × 0.4 =

10. 1.2 × 0.04 =

× _____ × _____ = ______ 10

= _____

× _____ × _____ = _______ ×

= _____

168

PROBLEM SET

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= _____

06-Dec-21 3:19:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 18

Multiply. 11. 0.2 × 0.4 =

12. 0.9 × 0.5 =

13. 0.3 × 0.02 =

14. 0.07 × 0.6 =

15. 0.4 × 0.33 =

16. 0.05 × 2.4 =

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PROBLEM SET

169

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 18

Use the Read–Draw–Write process to solve each problem. 17. Blake has 1.5 liters of water. He drinks 6 tenths of the water. How many liters of water does Blake drink?

18. A hiking trail is 6.45 kilometers long. Mrs. Chan rests after hiking 0.4 of the trail. How many kilometers does Mrs. Chan have left to hike?

170

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 18

Date

Multiply. Show your work. 1. 0.7 × 0.2 =

2. 2.5 × 0.03 =

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171

06-Dec-21 3:16:31 PM

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06-Dec-21 3:16:31 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Divide Whole Numbers by Unit Fractions

Sprint Write the quotient. 1.

4 ÷ _1

7 ÷ _1

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173

12/15/2021 12:30:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Divide Whole Numbers by Unit Fractions

Number Correct:

Write the quotient. 1.

2 ÷ _1 2

4 ÷ _1

3 ÷ _1

23.

24.

8 ÷ _1 7

5÷1 2

7 ÷ _1 4

7 ÷ _1

25.

26.

7 ÷ _1 8

9÷1 2

2 ÷ _1

27.

8 ÷ _1

3 ÷ _1

28.

29.

9 ÷ _1 4

30.

_ _

5 ÷ _1

4 ÷ _1 9

9 ÷ _1

7 ÷ _1 3

10 ÷ _1

10.

9 ÷ _1

31.

11.

2 ÷ _1

32.

33.

1 ÷ _1

12.

4÷1 4

13.

8 ÷ _1

34.

35.

1 3 ÷ __

14.

2÷1 5

36.

15.

37.

11 ÷ _1 6

_ _

4 ÷ _1

1 8 ÷ __ 4

1 ÷ _1 11

1 4 ÷ __ 5

16.

8 ÷ _1 5

12 ÷ _1

17.

2 ÷ _1

38.

1 7 ÷ __ 10

18.

4 ÷ _1

39.

7 ÷ 0.1

19.

8 ÷ _1

40.

1 8 ÷ ___

20.

2 ÷ _1

41.

8 ÷ 0.01

21.

4 ÷ _1

42.

43.

9 ÷ 0.1

22.

44.

10 ÷ 0.01

8 ÷ _1

174

EM2_0504SE_C_L19_removable_fluency_sprint_divide_whole_numbers_by_unit_fractions.indd 174

100

12/7/2021 2:41:24 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Divide Whole Numbers by Unit Fractions

Number Correct: Improvement:

Write the quotient. 1.

2 ÷ _1 2

3 ÷ _1

23.

24.

6 ÷ _1

4÷1 2

7 ÷ _1 3

6 ÷ _1

25.

26.

7 ÷ _1 6

8÷1 2

27.

28.

6 ÷ _1 3

2 ÷ _1

3 ÷ _1 7

3 ÷ _1 9

3 ÷ _1 3

29.

9 ÷ _1

30.

4 ÷ _1

9 ÷ _1

6 ÷ _1 3

31.

10 ÷ _1

10.

32.

8 ÷ _1

1 6 ÷ __

11.

2 ÷ _1 4

33.

1 ÷ _1

12.

3÷1 4

13.

6 ÷ _1

34.

35.

14.

2÷1 5

36.

1 ÷ _1 1 2 ÷ __ 11

1 3 ÷ __ 12

15.

3 ÷ _1 5

16.

6 ÷ _1

37.

38.

12 ÷ _1

17.

39.

1 6 ÷ __ 10

6 ÷ 0.1

2 ÷ _1

11 ÷ _1 4

18.

3 ÷ _1 6

19.

6 ÷ _1

40.

1 7 ÷ ___

20.

2 ÷ _1

41.

7 ÷ 0.01

21.

3 ÷ _1

42.

43.

8 ÷ 0.1

22.

44.

9 ÷ 0.01

6 ÷ _1

176

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100

12/7/2021 2:41:24 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 19

Date

1. Complete the equations. Use words, pictures, or equations to show your thinking. a. 1 tenth × 1 tenth = b. 1 tenth × 1 hundredth = c. 1 hundredth × 1 tenth =

Multiply. Express the product in unit form and standard form. Write an equation in fraction form to check the reasonableness of the units in your product. 2. 0.08 × 9.7 =

3. 5.28 × 9.7 =

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177

06-Dec-21 3:20:56 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

Multiply. Show your work. 4. 6.3 × 4.2 =

5. 7.26 × 1.5 =

178

LESSON

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06-Dec-21 3:20:57 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

Use the Read–Draw–Write process to solve the problem. 6. Sasha buys 5.5 yards of fabric. Each yard costs $6.44. She pays with $40.00. How much change should Sasha get?

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LESSON

179

06-Dec-21 3:20:59 PM

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

Name

Date

Multiply. Express the product in unit form and standard form. Write an equation in fraction form to check the units in your product. 1. 4.6 × 0.8 =

2. 3.2 × 0.09 =

4 ×

tenths

_____ × _____ = _____ 10

3. 6.4 × 3.7 =

tenths

hundredths

100

hundredths

tenths

____ × _____ = _______ 10

EM2_0504SE_C_L19_problem_set.indd 181

tenths

4. 0.53 × 2.4 =

_____ × _____ = _______

_____ × _____ = _______ 100

181

06-Dec-21 3:31:50 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

5. Riley makes a mistake when finding 3.2 × 0.44. Consider Riley’s work. Riley’s Way

What mistake did Riley make? How do you know?

3.2 × 0.4 0.44 4 = 14.08 3 2 tenths 4 4 hundredths 1 28 +1 2 80 1 1 , 4 0 8 hundredths ×

Multiply. 6. 0.6 × 9.7 =

7. 3.4 × 4.8 =

8. 0.45 × 2.9 =

9. 5.2 × 3.64 =

182

PROBLEM SET

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06-Dec-21 3:31:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

Use the Read–Draw–Write process to solve each problem. 10. Leo buys a bag of flour that weighs 2.3 kilograms. He uses 4 tenths of the bag of flour to make bread. How many kilograms of flour does Leo use to make bread?

11. Mr. Perez buys 1.5 pounds of cheese. Each pound of cheese costs $6.32. What is the total cost of the cheese?

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PROBLEM SET

183

06-Dec-21 3:31:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TC ▸ Lesson 19

12. Sana runs 4.6 kilometers. Noah runs 0.75 times as far as Sana. How many more kilometers does Sana run than Noah?

184

PROBLEM SET

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06-Dec-21 3:31:51 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TC ▸ Lesson 19

Date

Multiply. Show your work.

1.7 × 0.55 =

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185

06-Dec-21 3:22:25 PM

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06-Dec-21 3:22:25 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 20

Name

Date

Divide. Express the quotient in unit form and standard form. 1. 6 tenths ÷ 3 =

tenths

2. 8 hundredths ÷ 4 =

0.6 ÷ 3 =

hundredths

0.08 ÷ 4 =

3. 14 tenths ÷ 2 =

tenths

4. 24 hundredths ÷ 6 =

÷2 =

hundredths

÷6 =

5. 515 tenths ÷ 5 =

tenths

6. 840 hundredths ÷ 8 =

÷5 =

hundredths

÷8 =

Draw on the place value chart to divide. Then complete the equation. Problem 7 is started for you. 7. 8.42 ÷ 2 = ones

tenths

hundredths ones tenths hundredth

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187

06-Dec-21 3:51:05 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 20

8. 6.45 ÷ 3 = ones

tenths

hundredths

ones

tenths

hundredths

9. 4.5 ÷ 2 =

Divide. Complete the expression to show the relationship between the division problems. 10. 1.8 ÷ 2 =

1.8 ÷ 20 =

1.8 ÷ 2 ÷ 10

188

PROBLEM SET

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11. 0.45 ÷ 9 =

0.45 ÷ 90 =

0.45 ÷ 9 ÷

06-Dec-21 3:51:06 PM

EUREKA MATH2 Tennessee Edition

12. 12.6 ÷ 6 =

12.6 ÷ 600 =

12.6 ÷ 6 ÷

5 ▸ M4 ▸ TD ▸ Lesson 20

13. 963 ÷ 3 =

963 ÷ 3,000 =

963 ÷ 3 ÷

Divide. 14. 3.5 ÷ 5 =

15. 0.56 ÷ 7 =

16. 3.48 ÷ 3 =

17. 6.3 ÷ 2 =

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PROBLEM SET

189

06-Dec-21 3:51:07 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 20

18. 3.05 ÷ 50 =

19. 42.6 ÷ 200 =

Use the Read–Draw–Write process to solve the problem. 20. Toby drinks a total of 1.92 liters of orange juice in 8 days. He drinks the same amount of orange juice each day. How many liters of orange juice does Toby drink each day?

190

PROBLEM SET

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06-Dec-21 3:51:07 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 20

Date

Divide. Show your work. 1. 0.42 ÷ 7 =

2. 5.2 ÷ 200 =

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191

06-Dec-21 3:49:26 PM

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06-Dec-21 3:49:26 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

Name

Date

Use the place value chart to divide. Then record your work in vertical form. 1. 4.26 ÷ 3 = ones

tenths

hundredths

tenths

hundredths

2. 1.72 ÷ 2 = ones

EM2_0504SE_D_L21_classwork.indd 193

193

07-Dec-21 9:28:30 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

3. 5.1 ÷ 2 = ones

tenths

0.5 2.0 2 5.1 – 4.0 1.1 – 1.0 0.1

4. 17.4 ÷ 4 = tens

194

LESSON

EM2_0504SE_D_L21_classwork.indd 194

ones

tenths

07-Dec-21 9:28:32 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

Divide. Show your work. 5. 524.6 ÷ 50 =

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LESSON

195

07-Dec-21 9:28:32 AM

EM2_0504SE_D_L21_classwork.indd 196

07-Dec-21 9:28:32 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

Name

Date

Draw on the place value chart to divide. Then record your work in vertical form. Problem 1 is started for you. 1. 6.39 ÷ 3 = ones

tenths

hundredths

3 –

6. 3

– –

2. 5.4 ÷ 2 = ones

tenths

hundredths

2 –

5. 4

–

EM2_0504SE_D_L21_problem_set.indd 197

197

06-Dec-21 4:01:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

3. 1.36 ÷ 4 = ones

tenths

hundredths

1. 3

– –

4. 7.5 ÷ 2 = ones

tenths

hundredths

2 –

7. 5

– –

198

PROBLEM SET

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06-Dec-21 4:01:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

5. Sasha finds 3.48 ÷ 20. Consider Sasha’s way. Sasha’s Way

0. 0 4 0. 7 0 1. 0 0 2 3. 4 8 – 2. 0 0 1. 4 8 – 1. 4 0 0. 0 8 – 0. 0 8 0

3.48 ÷ 20 = (3.48 ÷ 2) ÷ 10 = 1 . 74 ÷ 10 = 0.174

Why does Sasha show 3.48 ÷ 2 in vertical form instead of 3.48 ÷ 20?

Divide. 6. 8.64 ÷ 2 =

EM2_0504SE_D_L21_problem_set.indd 199

7. 7.8 ÷ 3 =

PROBLEM SET

199

06-Dec-21 4:01:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

8. 5.04 ÷ 8 =

9. 2.55 ÷ 6 =

10. 9.88 ÷ 40 =

11. 43.4 ÷ 700 =

200

PROBLEM SET

EM2_0504SE_D_L21_problem_set.indd 200

06-Dec-21 4:01:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 21

Use the Read–Draw–Write process to solve each problem. 12. A red string is 5 times as long as a blue string. The length of the red string is 4.1 meters. What is the length of the blue string?

13. Mr. Evans spends $7.86 on 3 cartons of eggs and 1 loaf of bread. The loaf of bread costs $2.19. How much does each carton of eggs cost?

EM2_0504SE_D_L21_problem_set.indd 201

PROBLEM SET

201

06-Dec-21 4:01:13 PM

EM2_0504SE_D_L21_problem_set.indd 202

06-Dec-21 4:01:13 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 21

Date

Divide. Show your work.

0.81 ÷ 6 =

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203

06-Dec-21 3:59:49 PM

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06-Dec-21 3:59:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Name

Date

1. Consider the area model. a. Complete the area model.

3 hundredths 38

228 ones

152 tenths

b. Complete the multiplication and division equations that are represented by the area model. Use standard form.

× 38 = ÷ 38 =

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205

06-Dec-21 4:02:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Use the Read–Draw–Write process to solve each problem. 2. A gardener has 249.6 kg of grass seed. She makes 52 equal-size bags of grass seed. How many kilograms of grass seed are in each bag?

206

LESSON

EM2_0504SE_D_L22_classwork.indd 206

06-Dec-21 4:02:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

3. Tara pours 40.25 cups of juice equally into 23 glasses. How much juice is in each glass?

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LESSON

207

06-Dec-21 4:02:50 PM

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06-Dec-21 4:02:50 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Name

Date

Complete the area model and vertical form. Then complete the equation. 1. 793.6 ÷ 31 =

2 tens

ones

tenths

62 tens

155 ones

tenths

2 0. 0 9 3. 6

–

6 1

2 0. 0 7 3. 6

– –

2. 7.82 ÷ 23 =

3 tenths 23

69 tenths

hundredths hundredths

0. 3 3 7. 8 – 6. 9

0 2 0

–

EM2_0504SE_D_L22_problem_set.indd 209

209

06-Dec-21 4:05:50 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Estimate the partial quotients as you divide. Then check your work. 3. 45.6 ÷ 19 Check:

45.6 = 19 ×

Estimates:

4 5. 6

40 ÷ 20 =

tenths ÷ 20 =

tenths

Quotient:

4. 16.1 ÷ 46

1 6. 1

Estimates:

150 tenths ÷ 50 =

tenths

hundredths ÷ 50 =

Quotient:

hundredths

Check:

16.1 = 46 ×

210

PROBLEM SET

EM2_0504SE_D_L22_problem_set.indd 210

06-Dec-21 4:05:52 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Divide. 5. 76.8 ÷ 24 =

6. 6.72 ÷ 32 =

7. 90.25 ÷ 25 =

8. 33.8 ÷ 52 =

EM2_0504SE_D_L22_problem_set.indd 211

PROBLEM SET

211

06-Dec-21 4:05:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 22

Use the Read–Draw–Write process to solve the problem. 9. Kayla walks the same route to school and back each day. She walks a total of 40.5 kilometers in 25 days. a. How many kilometers does Kayla walk each day?

b. How many kilometers does Kayla walk to get to school each day?

212

PROBLEM SET

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06-Dec-21 4:05:53 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 22

Date

Divide. Show your work.

20.88 ÷ 18 =

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213

06-Dec-21 4:04:12 PM

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06-Dec-21 4:04:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 23

Name

Date

Use the tape diagrams to complete the statements.

1 10

1 10 1 make 1. groups of __ 10 groups of 1 make 4. 10

1 100

1 make 1. groups of ___ 100 groups of 1 make 4. 100

___

Write the divisor as a fraction. Complete the statements to help you divide. Then divide. 3. 3 ÷ 0.1 = 3 ÷ _____

4. 3.4 ÷ 0.1 = 3.4 ÷ _____

1 make 1. groups of __

1 make 3. groups of __

1 make 0.4. groups of __

10 10

3 ÷ 0.1 =

1 make 3.4. groups of __ 10

3.4 ÷ 0.1 =

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215

06-Dec-21 4:10:18 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 23

5. 8 ÷ 0.01 = 8 ÷ _____

6. 8.7 ÷ 0.01 = 8.7 ÷ _____

1 make 1. groups of ___

1 make 8. groups of ___

1 make 0.7. groups of ___

100

1 make 8.7. groups of ___

8 ÷ 0.01 =

100

8.7 ÷ 0.01 =

7. 26 ÷ 0.1 = 26 ÷ _____

8. 15.3 ÷ 0.01 = 15.3 ÷ _____

1 make 26. groups of __

1 make 15.3. groups of ___

26 ÷ 0.1 =

100

15.3 ÷ 0.01 =

9. Kelly incorrectly finds 35.6 ÷ 0.1. Consider Kelly’s way. Kelly’s Way

35.6 ÷ 0.1 = 3.56 a. What mistake did Kelly make?

b. What is 35.6 ÷ 0.1?

216

PROBLEM SET

EM2_0504SE_D_L23_problem_set.indd 216

06-Dec-21 4:10:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 23

Rewrite the expression as a decimal number divided by a fraction. Then divide. 10. 2.8 ÷ 0.1 =

11. 9.25 ÷ 0.01 =

12. 45.6 ÷ 0.1 =

13. 5.1 ÷ 0.01 =

14. 17 ÷ 0.1 =

15. 32 ÷ 0.01 =

EM2_0504SE_D_L23_problem_set.indd 217

PROBLEM SET

217

06-Dec-21 4:10:20 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 23

Use the Read–Draw–Write process to solve the problem. 16. Noah has a rope that is 6.5 meters long. He cuts the rope into pieces that are each 0.1 meter long. How many pieces of rope does Noah have now?

218

PROBLEM SET

EM2_0504SE_D_L23_problem_set.indd 218

06-Dec-21 4:10:20 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 23

Date

For problems 1 and 2, rewrite the expression as a decimal number divided by a fraction. Then divide. 1. 6.8 ÷ 0.1 =

2. 4.17 ÷ 0.01 =

3. Julie has 4.4 kilograms of cheese. She divides the cheese into equal-size portions of 0.1 kilogram each. How many portions of cheese does Julie have?

EM2_0504SE_D_L23_exit_ticket.indd 219

219

06-Dec-21 4:07:26 PM

EM2_0504SE_D_L23_exit_ticket.indd 220

06-Dec-21 4:07:26 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 24

Name

Date

Write a related expression in unit form. Then divide. 2. 25.2 ÷ 0.7 =

1. 0.72 ÷ 0.08 =

3. Complete the equation to find 3.75 ÷ 0.75.

3.75 ÷ 0.75 = 3.75 ÷ =

÷ ÷

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221

06-Dec-21 4:11:27 PM

EM2_0504SE_D_L24_classwork.indd 222

06-Dec-21 4:11:28 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 24

Name

Date

The divisor tells the size of the groups. Circle place value disks to show the number of groups. Then complete the statement. 1. 0.8 ÷ 0.4 = 8 tenths ÷ 4 tenths =

2. 0.12 ÷ 0.03 = 12 hundredths ÷ 3 hundredths =

Use unit form to divide. 3. 3.5 ÷ 0.7 =

tenths ÷

tenths

4. 2.79 ÷ 0.09 =

hundredths ÷

hundredths

EM2_0504SE_D_L24_problem_set.indd 223

223

06-Dec-21 4:21:28 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 24

Complete the equation. 6. 1.28 ÷ 0.04 = 1.28 ÷

5. 1.5 ÷ 0.3 = 1.5 ÷ 0.1 ÷ 3

÷3

÷4

7. 40.5 ÷ 0.5 = 40.5 ÷

÷4

÷5 ÷5

Use unit form to divide. 8. 97.6 ÷ 0.4 =

tenths ÷

tenths

224

PROBLEM SET

EM2_0504SE_D_L24_problem_set.indd 224

06-Dec-21 4:21:29 PM

EUREKA MATH2 Tennessee Edition

9. 9.18 ÷ 0.06 =

5 ▸ M4 ▸ TD ▸ Lesson 24

hundredths ÷

hundredths

10. 25.2 ÷ 0.08 =

hundredths ÷

hundredths

Divide. 11. 69.3 ÷ 0.3 =

EM2_0504SE_D_L24_problem_set.indd 225

12. 3.78 ÷ 0.06 =

PROBLEM SET

225

06-Dec-21 4:21:29 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 24

13. 39.45 ÷ 0.15 =

14. 22.8 ÷ 0.24 =

Use the Read–Draw–Write process to solve the problem. 15. Mr. Perez works in the cafeteria. He has 13.56 kilograms of cheese to make sandwiches. He uses 0.03 kilograms of cheese for each sandwich. How many sandwiches can Mr. Perez make?

226

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 24

Date

Divide. Show your work. 1. 49.7 ÷ 0.7 =

2. 6.88 ÷ 0.08 =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ Sprint ▸ Divide Unit Fractions by Whole Numbers

Sprint Write the quotient.

1 ÷3 2

1 ÷4 6

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5 ▸ M4 ▸ Sprint ▸ Divide Unit Fractions by Whole Numbers

Number Correct:

Write the quotient.

1 ÷2 2

23.

1 ÷4 7

1 ÷3 2

24.

1 ÷8 7

1 ÷5 2

25.

1 ÷7 4

1 ÷7 2

26.

1 ÷7 8

1 ÷9 2

27.

1 ÷4 9

1 ÷2 3

28.

1 ÷8 9

1 ÷3 3

29.

1 ÷9 4

1 ÷5 3

30.

1 ÷9 8

1 ÷7 3

31.

1 ÷ 10 8

10.

1 ÷9 3

32.

1 ÷8 10

11.

1 ÷2 4

33.

1 ÷1 4

12.

1 ÷4 4

34.

1 ÷1 8

13.

1 ÷8 4

35.

1 ÷3 11

14.

1 ÷2 5

36.

1 ÷4 12

15.

1 ÷4 5

37.

1 ÷ 11 5

16.

1 ÷8 5

38.

1 ÷ 12 6

17.

1 ÷2 6

39.

1 ÷7 11

18.

1 ÷4 6

40.

1 ÷8 12

19.

1 ÷8 6

41.

20.

1 ÷2 8

42.

__1 ÷ 12

21.

1 ÷4 8

43.

__1 ÷ 11 11

22.

1 ÷8 8

44.

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

230

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_ _ _ _ _ _ _ _

__ _ _

__ __

_ _

__ __

1 ÷ 11 9

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5 ▸ M4 ▸ Sprint ▸ Divide Unit Fractions by Whole Numbers

Number Correct: Improvement:

Write the quotient.

1 ÷2 2

23.

1 ÷3 7

1 ÷3 2

24.

1 ÷6 7

1 ÷4 2

25.

1 ÷7 3

1 ÷6 2

26.

1 ÷7 6

1 ÷8 2

27.

1 ÷3 9

1 ÷2 3

28.

1 ÷6 9

1 ÷3 3

29.

1 ÷9 3

1 ÷4 3

30.

1 ÷9 6

1 ÷6 3

31.

1 ÷ 10 6

10.

1 ÷8 3

32.

1 ÷6 10

11.

1 ÷2 4

33.

1 ÷1 3

12.

1 ÷3 4

34.

1 ÷1 6

13.

1 ÷6 4

35.

1 ÷2 11

14.

1 ÷2 5

36.

1 ÷3 12

15.

1 ÷3 5

37.

1 ÷ 11 4

16.

1 ÷6 5

38.

1 ÷ 12 5

17.

1 ÷2 6

39.

1 ÷6 11

18.

1 ÷3 6

40.

1 ÷7 12

19.

1 ÷6 6

41.

1 ÷ 11 8

20.

1 ÷2 8

42.

1 ÷ 12 9

21.

1 ÷3 8

43.

__1 ÷ 10

22.

1 ÷6 8

44.

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

232

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_ _ _ _ _ _ _ _

__ _ _

__ __

_ _

__ __

_ _

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 25

Date

1. 12.33 ÷ 0.18 =

Write the expression you want to use. Then divide. 2. 4.55 ÷ 0.7 =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 25

Name

Date

Complete the equation by using unit form and whole numbers. Write the quotient in standard form. 1. 0.5 ÷ 0.2 =

tenths ÷

tenths

2. 0.05 ÷ 0.04 =

hundredths ÷

hundredths

3. 1.8 ÷ 0.8 =

4. 0.27 ÷ 0.06 =

÷ ÷

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5 ▸ M4 ▸ TD ▸ Lesson 25

Divide. Use unit form to help you. Write the quotient in standard form. 5. 23.4 ÷ 0.5 =

6. 3.18 ÷ 0.12 =

Complete the equation. Write the quotient in standard form. 7. 2.52 ÷ 0.3 = 2.52 ÷ 0.1 ÷ 3

236

PROBLEM SET

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8. 7.3 ÷ 0.04 =

÷4

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 25

Divide. 9. 1.5 ÷ 0.2 =

10. 0.25 ÷ 0.04 =

11. 23.7 ÷ 0.6 =

12. 30.36 ÷ 0.24 =

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PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TD ▸ Lesson 25

Use the Read–Draw–Write process to solve each problem. 13. Eddie makes 4.7 liters of apple cider to put into jars. He wants to put 0.5 liters of cider into each jar. How many jars does Eddie need in all?

14. Julie buys 2.25 kilograms of flour. She uses 0.36 kilograms of flour to make each loaf of bread. a. How many full loaves of bread can Julie make?

b. How many kilograms of flour are left over?

238

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TD ▸ Lesson 25

Date

Divide. Show your work. 1. 5.04 ÷ 0.8 =

2. 2.99 ÷ 0.65 =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26 ▸ Liquid Measurement Cards

Set A

300 mL

200 mL

300 mL

350 mL

450 mL

700 mL

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600 mL

241

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26 ▸ Liquid Measurement Cards

Set B

350 mL

275 mL

200 mL

450 mL

300 mL

400 mL 350 mL

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26 ▸ Liquid Measurement Cards

Set C

0.35 L

0.2 L 0.3 L

0.3 L

0.45 L 0.4 L

0.45 L 0.6 L

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0.6 L

245

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26 ▸ Liquid Measurement Cards

Set D

350 mL

200 mL 0.65 L

400 mL 0.3 L

0.3 L

0.6 L

400 mL 1L

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26

Name

Date

Set About how much liquid do you think the person drinks? Show how you found the total amount of liquid.

The person drinks

altogether.

An equation that describes how we found the total is

Self-Reflection Write one thing that worked well for you and your partner. Explain why it worked well.

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 26

Write one challenge you had. How did you work through the challenge?

250

LESSON

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TE ▸ Lesson 26

Date

1. What strategy did you use to find the total amount the person drinks in a day? How did it help you?

2. Explain another student’s strategy. What do you like about that strategy?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 27

Name

Date

1. Use the tape diagram to complete the statement and equations.

1 centimeter

1 millimeter 1 centimeter is

times as long as 1 millimeter.

1 cm =

× 1 mm

1 cm =

2. Complete the table.

Centimeters

(cm) 1

Expression

1×

Millimeters

(mm) 10

7.8 4.53 95.67

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 27

Convert each measurement. 3. 3.5 L =

5. 2.05 kL =

7. 9.6 km = 9 km

4. 102.9 km =

6. 0.95 cm =

8. 4.25 kg = 4 kg

Use the Read–Draw–Write process to solve each problem. 9. Noah has a string that is 6.8 meters long. He cuts the string into 4 equal pieces. a. How many meters long is each piece of string?

b. How many centimeters long is each piece of string?

254

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 27

10. A mosquito weighs 0.003 grams. A grasshopper is 100 times as heavy as the mosquito. How many more milligrams does the grasshopper weigh than the mosquito?

11. Miss Baker has 3 liters of water and 7 beakers. She pours 425 milliliters of water into each beaker. How many milliliters of water are left over?

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PROBLEM SET

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12/21/2021 11:37:14 AM

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TE ▸ Lesson 27

Date

Convert each measurement. 1. 19.8 m =

2. 0.036 kg =

3. 6.075 L = 6 L

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EUREKA MATH2 Tennessee Edition

Name

5 ▸ M4 ▸ TE ▸ Lesson 28

Date

Use the Read–Draw–Write process to solve the problem. 1. A scientist collects water samples from a pond. She collects 7 equal-size samples for a total of 5.25 quarts of water. How many cups of water does the scientist collect in each sample?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 28

Name

Date

Use the tape diagram to help you convert each measurement.

1 yard

1 foot

a. 1.5 yd =

b. 0.8 yd =

1 foot c. 3.5 ft =

1 inch

1 pound

1 ounce

a. 0.75 lb =

b. 1.75 lb =

c. 2.5 lb =

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 28

1 gallon

1 quart

a. 2.5 gal =

b. 0.25 qt =

c. 1.25 pt =

d. 1.5 gal =

1 quart

1 pint 1 pint

1 cup

Round to estimate each conversion. 4. 7.25 lb ≈

6. 32.75 gal ≈

262

PROBLEM SET

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5. 24.5 ft ≈

7. 20.5 yd ≈

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 28

Use the Read–Draw–Write process to solve each problem. 8. Scott makes 7.25 pints of tea. Scott and his friends drink 7 cups of tea. How many cups of tea are left?

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 28

9. The table shows how much a puppy weighs at different ages. a. What is the puppy’s weight at 2 months old? Write your answer in mixed units by using pounds and ounces.

Age (months)

Weight (pounds)

10.3

21.7

30.2

39.8

b. When the puppy is 3 months old, it eats a total of 15.75 pounds of food in 28 days. The puppy eats an equal number of ounces of food each day. How many ounces of food does the puppy eat each day?

c. There are 4 weeks between the time the puppy is weighed at 4 months old and 5 months old. The puppy gains an equal number of ounces each of those weeks. How many ounces does the puppy gain each week?

264

PROBLEM SET

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EUREKA MATH2 Tennessee Edition

5 ▸ M4 ▸ TE ▸ Lesson 28

Name

Date

Convert each measurement. 1. 1.72 pints =

cups

2. 6.3 yards =

inches

3. Round to estimate the conversion. Then convert to find the actual number of ounces. Estimate: 20.75 pounds ≈

Actual: 20.75 pounds =

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ounces

265

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EUREKA MATH2 Tennessee Edition

5 ▸ M4

Credits Great Minds® has made every effort to obtain permission for the reprinting of all copyrighted material. If any owner of copyrighted material is not acknowledged herein, please contact Great Minds for proper acknowledgment in all future editions and reprints of this module. Cover, Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musee des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY.; All other images are the property of Great Minds. For a complete list of credits, visit http://eurmath.link/media-credits.

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EUREKA MATH2 Tennessee Edition

5 ▸ M4

Acknowledgments Kelly Alsup, Adam Baker, Agnes P. Bannigan, Christine Bell, Reshma P Bell, Joseph T. Brennan, Dawn Burns, Amanda H. Carter, David Choukalas, Mary Christensen-Cooper, Nicole Conforti, Cheri DeBusk, Lauren DelFavero, Jill Diniz, Mary Drayer, Christina Ducoing, Karen Eckberg, Melissa Elias, Danielle A Esposito, Janice Fan, Scott Farrar, Gail Fiddyment, Ryan Galloway, Krysta Gibbs, January Gordon, Torrie K. Guzzetta, Kimberly Hager, Jodi Hale, Karen Hall, Eddie Hampton, Andrea Hart, Stefanie Hassan, Tiffany Hill, Christine Hopkinson, Rachel Hylton, Travis Jones, Laura Khalil, Raena King, Jennifer Koepp Neeley, Emily Koesters, Liz Krisher, Leticia Lemus, Marie Libassi-Behr, Courtney Lowe, Sonia Mabry, Bobbe Maier, Ben McCarty, Maureen McNamara Jones, Ashley Meyer, Pat Mohr, Bruce Myers, Marya Myers, Kati O’Neill, Darion Pack, Geoff Patterson, Victoria Peacock, Maximilian Peiler-Burrows, Brian Petras, April Picard, Marlene Pineda, DesLey V. Plaisance, Lora Podgorny, Janae Pritchett, Elizabeth Re, Meri Robie-Craven, Deborah Schluben, Colleen Sheeron-Laurie, Michael Short, Erika Silva, Jessica Sims, Tara Stewart, Heidi Strate, Theresa Streeter, Mary Swanson, James Tanton, Cathy Terwilliger, Saffron VanGalder, Rafael Vélez, Jessica Vialva, Allison Witcraft, Jim Wright, Jackie Wolford, Caroline Yang, Jill Zintsmaster Trevor Barnes, Brianna Bemel, Lisa Buckley, Adam Cardais, Christina Cooper, Natasha Curtis, Jessica Dahl, Brandon Dawley, Delsena Draper, Sandy Engelman, Tamara Estrada, Soudea Forbes, Jen Forbus, Reba Frederics, Liz Gabbard, Diana Ghazzawi, Lisa Giddens-White, Laurie Gonsoulin, Nathan Hall, Cassie Hart, Marcela Hernandez, Rachel Hirsh, Abbi Hoerst, Libby Howard, Amy Kanjuka, Ashley Kelley, Lisa King, Sarah Kopec, Drew Krepp, Crystal Love, Maya Márquez, Siena Mazero, Cindy Medici, Ivonne Mercado, Sandra Mercado, Brian Methe, Patricia Mickelberry, Mary-Lise Nazaire, Corinne Newbegin, Max Oosterbaan, Tamara Otto, Christine Palmtag, Andy Peterson, Lizette Porras, Karen Rollhauser, Neela Roy, Gina Schenck, Amy Schoon, Aaron Shields, Leigh Sterten, Mary Sudul, Lisa Sweeney, Samuel Weyand, Dave White, Charmaine Whitman, Nicole Williams, Glenda Wisenburn-Burke, Howard Yaffe

268

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Talking Tool Share Your Thinking

I know . . . . I did it this way because . . . . The answer is

because . . . .

My drawing shows . . . . I agree because . . . .

Agree or Disagree

That is true because . . . . I disagree because . . . . That is not true because . . . . Do you agree or disagree with

Ask for Reasoning

? Why?

Why did you . . . ? Can you explain . . . ? What can we do first? How is

Say It Again

related to

I heard you say . . . . said . . . . Another way to say that is . . . . What does that mean?

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Thinking Tool When I solve a problem or work on a task, I ask myself Before

Have I done something like this before? What strategy will I use? Do I need any tools?

During

Is my strategy working? Should I try something else? Does this make sense?

After

What worked well? What will I do differently next time?

At the end of each class, I ask myself

What did I learn? What do I have a question about?

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MATH IS EVERYWHERE Do you want to compare how fast you and your friends can run? Or estimate how many bees are in a hive? Or calculate your batting average? Math lies behind so many of life’s wonders, puzzles, and plans. From ancient times to today, we have used math to construct pyramids, sail the seas, build skyscrapers—and even send spacecraft to Mars. Fueled by your curiosity to understand the world, math will propel you down any path you choose. Ready to get started?

Module 1 Place Value Concepts for Multiplication and Division with Whole Numbers Module 2 Addition and Subtraction with Fractions Module 3 Multiplication and Division with Fractions Module 4 Place Value Concepts for Decimal Operations Module 5 Addition and Multiplication with Area and Volume Module 6 Foundations to Geometry in the Coordinate Plane

ISBN 978-1-63898-517-4

781638 985174