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Eureka Math Student Materials: Grades K–5

Learn, Practice, Succeed

Learn, Practice, and Succeed from   Eureka Math™   offer teachers multiple ways to differentiate instruction, provide extra practice, and assess student learning. These versatile companions to   A Story of Units®   (Grades K–5) guide teachers in response to intervention (RTI), provide extra practice, and inform instruction.

Also available for Grades 6–8 . 

Learn, Practice, Succeed can be purchased all together or bundled in any configuration. Contact your account solutions manager for more information and pricing.  

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The Learn book serves as a student’s in-class companion where they show their thinking, share what they know, and watch their knowledge build every day!

Application Problems:  Problem solving in a real-world context is a daily part of   Eureka Math , building student confidence and perseverance as students apply their knowledge in new and varied ways.

Problem Sets :  A carefully sequenced Problem Set provides an in-class opportunity for independent work, with multiple entry points for differentiation.

Exit Tickets:   These exercises check student understanding, providing the teacher with immediate, valuable evidence of the efficacy of that day’s instruction and informing next steps.

Templates:   Learn   includes templates for the pictures, reusable models, and data sets that students need for   Eureka Math   activities.

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With   Practice , students build competence in newly acquired skills and reinforce previously learned skills in preparation for tomorrow’s lesson.   Together,   Learn   and   Practice   provide all the print materials a student uses for their core instruction.

Eureka Math  contains multiple daily opportunities to build fluency in   mathematics . Each is designed with the same notion—growing every student’s ability to use mathematics   with ease . Fluency experiences are generally fast-paced and energetic, celebrating improvement and focusing on recognizing patterns and connections within the material.

Eureka Math   fluency activities provide differentiated practice through a variety of formats—some are conducted orally, some use manipulatives, others use a personal whiteboard, or a handout and paper-and-pencil format.

Sprints:  Sprint fluency activities in  Eureka Math Practice  build speed and accuracy with already acquired skills. Used when students are nearing optimum proficiency, Sprints leverage tempo to build a low-stakes adrenaline boost that increases memory and recall. Their intentional design makes Sprints inherently differentiated – the problems build from simple to complex, with the first quadrant of problems being the simplest, and each subsequent quadrant adding complexity.

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Eureka Math Succeed   enables students to work individually toward mastery.  Teachers and tutors can use  Succeed   books from prior grade levels as curriculum-consistent tools for filling gaps in foundational knowledge. Students will thrive and progress more quickly, as familiar models facilitate connections to their current, grade-level content.

Additional Problem Sets:  Ideal for Homework or extra practice, these additional problem sets align lesson-by-lesson with what is happening in the classroom. These problems are sequenced from simple-to-complex to naturally scaffold student practice. They align with   Eureka Math   and use the curriculum’s mathematical models and language, ensuring that students feel the connections and relevance to their daily instruction, whether they are working on foundational skills or getting extra practice on the current topic.

Homework Helpers:   Each problem set is accompanied by a Homework Helper, a set of worked examples that illustrate how similar problems are solved. The examples, viewed side by side with the homework, support students as they reinforce the day’s learning. Homework Helpers are also a great way to keep parents informed about math class.

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Bundle options are available for all of our materials (print, digital, PD, etc.). Prices vary by grade and size of class set. Certain grade-levels do not include all packets due to the nature of the grade-level content. Student workbooks are available in class sets of 20, 25, and 30. Prices vary by size of class set .

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Eureka Math Grade 5 Module 5 Lesson 11 Answer Key

Engage ny eureka math 5th grade module 5 lesson 11 answer key, eureka math grade 5 module 5 lesson 11 sprint answer key.

Engage NY Math 5th Grade Module 5 Lesson 11 Sprint Answer Key 1

Question 1. 3 × 2 = Answer: 6

Question 2. 3 × 0.2 = Answer: 0.6

Question 3. 3 × 0.02 = Answer: 0.06

Question 4. 3 × 3 = Answer: 9

Question 5. 3 × 0.3 = Answer: 0.9

Question 6. 3 × 0.03 = Answer: 0.09

Question 7. 2 × 4 = Answer: 8

Question 8. 2 × 0.4 = Answer: 0.8

Question 9. 2 × 0.04 = Answer: 0.08

Question 10. 5 × 3 = Answer: 15

Question 11. 5 × 0.3 = Answer: 1.5

Question 12. 5 × 0.03 = Answer: 0.05

Question 13. 7 × 2 = Answer: 14

Question 14. 7 × 0.2 = Answer: 1.4

Question 15. 7 × 0.02 = Answer: 0.14

Question 16. 4 × 3 = Answer: 12

Question 17. 4 × 0.3 = Answer: 1.2

Question 18. 0.4 × 3 = Answer: 1.2

Question 19. 0.4 × 0.3 = Answer: 0.12

Question 20. 0.4 × 0.03 = Answer: 0.012

Question 21. 0.3 × 0.04 = Answer: 0.012

Question 22. 6 × 2 = Answer: 12

Question 23. 0.6 × 2 = Answer: 1.2

Question 24. 0.6 × 0.2 = Answer: 0.12

Question 25. 0.6 × 0.02 = Answer: 0.012

Question 26. 0.2 × 0.06 = Answer: 0.012

Question 27. 5 × 7 = Answer: 35

Question 28. 0.5 × 7 = Answer: 3.5

Question 29. 0.5 × 0.7 = Answer: 0.35

Question 30. 0.5 × 0.07 = Answer: 0.035

Question 31. 0.7 × 0.05 = Answer: 0.035

Question 32. 2 × 8 = Answer: 16

Question 33. 9 × 0.2 = Answer: 1.8

Question 34. 3 × 7 = Answer: 21

Question 35. 8 × 0.03 = Answer: 0.24

Question 36. 4 × 6 = Answer: 24

Question 37. 0.6 × 7 = Answer: 4.2

Question 38. 0.7 × 0.7 = Answer: 0.49

Question 39. 0.8 × 0.06 = Answer: 0.048

Question 40. 0.09 × 0.6 = Answer: 0.054

Question 41. 6 × 0.8 = Answer: 4.8

Question 42. 0.7 × 0.9 = Answer: 0.63

Question 43. 0.08 × 0.8 = Answer: 0.064

Question 44. 0.9 × 0.08 = Answer: 0.072

Engage NY Math 5th Grade Module 5 Lesson 11 Sprint Answer Key 2

Question 1. 4 × 2 = Answer: 8

Question 2. 4 × 0.2 = Answer: 0.8

Question 3. 4 × 0.02 = Answer: 0.08

Question 4. 2 × 3 = Answer: 6

Question 5. 2 × 0.3 = Answer: 0.6

Question 6. 2 × 0.03 = Answer: 0.06

Question 7. 3 × 3 = Answer: 9

Question 8. 3 × 0.3 = Answer: 0.9

Question 9. 3 × 0.03 = Answer: 0.09

Question 10. 4 × 3 = Answer: 12

Question 11. 4 × 0.3 = Answer: 1.2

Question 12. 4 × 0.03 = Answer: 0.12

Question 13. 9 × 2 = Answer: 18

Question 14. 9 × 0.2 = Answer: 1.8

Question 15. 9 × 0.02 = Answer: 0.18

Question 16. 5 × 3 = Answer: 15

Question 17. 5 × 0.3 = Answer: 1.5

Question 18. 0.5 × 3 = Answer: 1.5

Question 19. 0.5 × 0.3 = Answer: 0.15

Question 20. 0.5 × 0.03 = Answer: 0.015

Question 21. 0.3 × 0.05 = Answer: 0.015

Question 22. 8 × 2 = Answer: 16

Question 23. 0.8 × 2 = Answer: 1.6

Question 24. 0.8 × 0.2 = Answer: 0.16

Question 25. 0.8 × 0.02 = Answer: 0.016

Question 26. 0.2 × 0.08 = Answer: 0.016

Question 27. 5 × 9 = Answer: 45

Question 28. 0.5 × 9 = Answer: 4.5

Question 29. 0.5 × 0.9 = Answer: 0.45

Question 30. 0.5 × 0.09 = Answer: 0.045

Question 31. 0.9 × 0.05 = Answer: 0.045

Question 32. 2 × 6 = Answer: 12

Question 33. 7 × 0.2 = Answer: 1.4

Question 34. 3 × 8 = Answer: 24

Question 35. 9 × 0.03 = Answer: 0.027

Question 36. 4 × 8 = Answer: 32

Question 37. 0.7 × 6 = Answer: 4.2

Question 38. 0.6 × 0.6 = Answer: 0.36

Question 39. 0.6 × 0.08 = Answer: 0.048

Question 40. 0.06 × 0.9 = Answer: 0.054

Question 41. 8 × 0.6 = Answer: 4.8

Question 42. 0.9 × 0.7 = Answer: 0.63

Question 43. 0.07 × 0.7 = Answer: 0.049

Question 44. 0.8 × 0.09 = Answer: 0.072

Eureka Math Grade 5 Module 5 Lesson 11 Problem Set Answer Key

Draw the rectangle and your tiling. Write the dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work. Question 1. Rectangle A:

Rectangle A is ___________ units long __________ units wide Area = ___________units 2 Answer:

eureka math grade 1 lesson 5 homework 1.5

4 1/2 units long 2 1/2 units wide Area = 11 1/4 units 2

Question 2. Rectangle B: Rectangle B is ___________ units long __________ units wide Area = ___________units 2 Answer:

eureka math grade 1 lesson 5 homework 1.5

3 3/4 units long 1 3/4 units wide Area = 6 9/10 units 2

Question 3. Rectangle C: Rectangle C is ___________ units long __________ units wide Area = ___________units 2 Answer:

eureka math grade 1 lesson 5 homework 1.5

1 1/2 units long 3/4 units wide Area = 1 1/8 units 2

Question 4. Rectangle D: Rectangle D is ___________ units long __________ units wide Area = ___________units 2 Answer:

eureka math grade 1 lesson 5 homework 1.5

3/4 units long 1/2 units wide Area = 3/8 units 2

Question 5. Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1\(\frac{2}{3}\) cm in length. Caroline used tiles that measured 3\(\frac{1}{3}\) cm in length. a. Draw the girls’ rectangles, and label the lengths and widths of each. b. What are the areas of the rectangles in square centimeters? c. Compare the areas of the rectangles. Answer:

eureka math grade 1 lesson 5 homework 1.5

Area of Collen =

length x width

= 8 1/3 x 5

= 41 2/3 square centimetres

Area of Coroline =

= 16 2/3 x 10

= 166 2/3 square centimetres.

On comparing both the areas,

The area of Colleen’s rectangle is smaller than coroline

41 2/3 sq. cm. < 166 2/3 cm sq.

Question 6. A square has a perimeter of 51 inches. What is the area of the square? Answer:

Given, perimeter = 51 inches

Now, 51 / 4 = 12 3/4 in

Area = length x width

A = 12 3/4 x 12 3/4

= 51/4 x 51/4

= 162 9/16 sq. inches

Eureka Math Grade 5 Module 5 Lesson 11 Exit Ticket Answer Key

To find the area, Andrea tiled a rectangle and sketched her answer. Sketch Andrea’s rectangle, and find the area. Show your multiplication work. Rectangle is 2\(\frac{1}{2}\) units × 2\(\frac{1}{2}\) units Area = Answer:

eureka math grade 1 lesson 5 homework 1.5

= 2 1/2 x 2 1/2

= ( 2 x 2 ) + ( 2 x 1/2 ) + ( 2 x 1/2 ) + ( 1/2 x 1/2 )

= 4 + 1 + 1 + 1/4

= 6 1/4 square units

Therefore, the area of the rectangle = 6 1/4 square units.

Eureka Math Grade 5 Module 5 Lesson 11 Homework Answer Key

Eureka Math Grade 5 Module 5 Lesson 11 Homework Answer Key 1

2 3/4 units long × 1 1/2 units wide Area = 4 1/8 units 2

b. Rectangle B: Rectangle B is 2\(\frac{1}{2}\) units long × \(\frac{3}{4}\) units wide Area = __________ units 2

eureka math grade 1 lesson 5 homework 1.5

2 1/2 units long x  2 1/2 units wide Area = 8 1/3 units 2

c. Rectangle C: Rectangle C is 3\(\frac{1}{3}\) units long × 2\(\frac{1}{2}\) units wide Area = __________ units 2

eureka math grade 1 lesson 5 homework 1.5

3 1/3 units long × 2 1/2 units wide Area = 8 1/3 units 2

d. Rectangle D: Rectangle D is 3\(\frac{1}{2}\) units long × 2\(\frac{1}{4}\) units wide Area = __________ units 2

eureka math grade 1 lesson 5 homework 1.5

3 1/2 units long × 2 1/4 units wide Area = 7 7/8 units 2

Question 2. A square has a perimeter of 25 inches. What is the area of the square? Answer:

The perimeter of square = 25 inches

25/4 = 6 1/4

Now, Area = length x width

= 6 1/4 x 6 1/4

= 36 + 6/4 + 6/4 +1/16

=36 + 12/4 + 1/16

Therefore, area of the square = 39 1/16 square inches.

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Eureka Math Grade 5 Module 1 Lesson 13 Answer Key

Engage ny eureka math 5th grade module 1 lesson 13 answer key, eureka math grade 5 module 1 lesson 13 sprint answer key.

Eureka Math Grade 5 Module 1 Lesson 13 Sprint Answer Key 1

Question 1. 5 – 1 = Answer:- 4

Question 2. 5.9 – 1 = Answer:- 4.9

Question 3. 5.93 – 1 = Answer:- 4.93

Question 4. 5.932 – 1 = Answer:- 4.932

Question 5. 5.932 – 2 = Answer:-  3.932

Question 6. 5.932 – 4 = Answer:- 1.932

Question 7. 0.5 – 0.1 = Answer:- 0.4

Question 8. 0.53 – 0.1 = Answer:- 0.43

Question 9. 0.539 – 0.1 = Answer:- 0.493

Question 10. 8.539 – 0.1 = Answer:- 8.439

Question 11. 8.539 – 0.2 = Answer:- 8.339

Question 12. 8.539 – 0.4 = Answer:- 8.139

Question 13. 0.05 – 0.01 = Answer:- 0.04

Question 14. 0.057 – 0.01 = Answer:- 0.047

Question 15. 1.057 – 0.01 = Answer:- 1.047

Question 16. 1.857 – 0.01 = Answer:- 1.847

Question 17. 1.857 – 0.02 = Answer:- 1.837

Question 18. 1.857 – 0.04 = Answer:- 1.817

Question 19. 0.005 – 0.001 = Answer:- 0.004

Question 20. 7.005 – 0.001 = Answer:- 7.004

Question 21. 7.905 – 0.001 = Answer:- 7.904

Question 22. 7.985 – 0.001 = Answer:- 7.984

Question 23. 7.985 – 0.002 = Answer:- 7.983

Question 24. 7.985 – 0.004 = Answer:- 7.981

Question 25. 2.7 – 0.1 = Answer:- 2.6

Question 26. 2.785 – 0.1 = Answer:- 2.685

Question 27. 2.785 – 0.5 = Answer:- 2.285

Question 28. 4.913 – 0.4 = Answer:- 4.513

Question 29. 3.58 – 0.01 = Answer:- 3.57

Question 30. 3.586 – 0.01 = Answer:- 3.876

Question 31. 3.586 – 0.05 = Answer:- 3.536

Question 32. 7.982 – 0.04 = Answer:- 7.942

Question 33. 6.126 – 0.001 = Answer:- 6.125

Question 34. 6.126 – 0.004 = Answer:- 6.122

Question 35. 9.348 – 0.006 = Answer:- 9.342

Question 36. 8.347 – 0.3 = Answer:- 8.047

Question 37. 9.157 – 0.05 = Answer:- 9.107

Question 38. 6.879 – 0.009 = Answer:- 6.870

Question 39. 6.548 – 2 = Answer:- 6.528

Question 40. 6.548 – 0.2 = Answer:- 6.348

Question 41. 6.548 – 0.02 = Answer:- 6.528

Question 42. 6.548 – 0.002 = Answer:- 6.546

Question 43. 6.196 – 0.06 = Answer:- 6.136

Question 44. 9.517 – 0.004 = Answer:- 9.513

Eureka Math Grade 5 Module 1 Lesson 13 Sprint Answer Key 3

Question 1. 6 – 1 = Answer:- 5

Question 2. 6.9 – 1 = Answer:- 5.9

Question 3. 6.93 – 1 = Answer:- 5.93

Question 4. 6.932 – 1 = Answer:- 5.932

Question 5. 6.932 – 2 = Answer:- 4.932

Question 6. 6.932 – 4 = Answer:- 2.932

Question 7. 0.6 – 0.1 = Answer:- 0.5

Question 8. 0.63 – 0.1 = Answer:- 0.53

Question 9. 0.639 – 0.1 = Answer:- 0.539

Question 10. 8.639 – 0.1 = Answer:- 8.539

Question 11. 8.639 – 0.2 = Answer:- 8.439

Question 12. 8.639 – 0.4 = Answer:- 8.239

Question 13. 0.06 – 0.01 = Answer:- 0.05

Question 14. 0.067 – 0.01 = Answer:- 0.057

Question 15. 1.067 – 0.01 = Answer:- 1.057

Question 16. 1.867 – 0.01 = Answer:- 1.857

Question 17. 1.867 – 0.02 = Answer:- 1.847

Question 18. 1.867 – 0.04 = Answer:- 1.827

Question 19. 0.006 – 0.001 = Answer:- 0.005

Question 20. 7.006 – 0.001 = Answer:- 7.005

Question 21. 7.906 – 0.001 = Answer:- 7.905

Question 22. 7.986 – 0.001 = Answer:- 7.985

Question 23. 7.986 – 0.002 = Answer:- 7.984

Question 24. 7.986 – 0.004 = Answer:- 7.982

Question 25. 3.7 – 0.1 = Answer:- 3.6

Question 26. 3.785 – 0.1 = Answer:- 3.685

Question 27. 3.785 – 0.5 = Answer:- 3.285

Question 28. 5.924 – 0.4 = Answer:- 5.524

Question 29. 4.58 – 0.01 = Answer:- 4.57

Question 30. 4.586 – 0.01 = Answer:- 4.576

Question 31. 4.586 – 0.05 = Answer:- 4.536

Question 32. 6.183 – 0.04 = Answer:- 6.143

Question 33. 7.127 – 0.001 = Answer:- 7.126

Question 34. 7.127 – 0.004 =

Question 35. 1.459 – 0.006 = Answer:- 1.453

Question 36. 8.457 – 0.4 = Answer:- 8.057

Question 37. 1.267 – 0.06 = Answer:- 1.207

Question 38. 7.981 – 0.001 = Answer:- 7.980

Question 39. 7.548 – 2 = Answer:- 5.548

Question 40. 7.548 – 0.2 = Answer:- 7.348

Question 41. 7.548 – 0.02 = Answer:- 7.528

Question 42. 7.548 – 0.002 = Answer:- 7.546

Question 43. 7.197 – 0.06 = Answer:- 7.137

Question 44. 1.627 – 0.004 = Answer:- 1.623

Eureka Math Grade 5 Module 1 Lesson 13 Problem Set Answer Key

Question 1. Complete the sentences with the correct number of units, and then complete the equation. a. 4 groups of ___ tenths is 1.6. 1.6 ÷ 4 = ___ Answer:- 4 groups of  4 tenths is 1.6. 1.6 ÷ 4 = 0.4

b. 8 groups of ____ hundredths is 0.32. 0.32 ÷ 8 = ___ Answer:-8 groups of 4 hundredths is 0.32. 0.32 ÷ 8 = 4

c. 7 groups of __ thousandths is 0.084. 0.084 ÷ 7 = ___ Answer:-7 groups of 12 thousandths is 0.084. 0.084 ÷ 7 = 0.012

d. 5 groups of ___ tenths is 2.0. 2.0 ÷ 5 = ___ Answer:- 5 groups of 4 tenths is 2.0. 2.0 ÷ 5 = 0.4

Question 2. Complete the number sentence. Express the quotient in units and then in standard form. a. 4.2 ÷ 7 = ______ tenths ÷ 7 = ______ tenths = _______ Answer:- 4.2 ÷ 7 = 42 tenths ÷ 7 = 6 tenths = 0.6

b. 2.64 ÷ 2 = ___ ones ÷ 2 + ___ hundredths ÷ 2 = _____ ones + __ hundredths = ____ Answer:-  2.64 ÷ 2 = 2 ones ÷ 2 + 64 hundredths ÷ 2 = 1 ones + 32 hundredths = 1.32

c. 12.64 ÷ 2 = ___ ones ÷ 2 + __ hundredths ÷ 2 = _______ ones + ___ hundredths = ___ Answer:-  12.64 ÷ 2 = 12 ones ÷ 2 + 64 hundredths ÷ 2 = 6 ones + 32 hundredths = 6.32

d. 4.26 ÷ 6 = __ tenths ÷ 6 + __ hundredths ÷ 6 = ____________ = ____________ Answer:-  4.26 ÷ 6 = 42 tenths ÷ 6 + 6 hundredths ÷ 6 = 7 ones + 1 hundredths = 0.71

e. 4.236 ÷ 6 = ____________ = ____________ = ____________ Answer:- 4.236 ÷ 6 = 42 tenths ÷ 6 + 36 thousandths ÷ 6 = 7 tenths + 6 thousandths = 0.706

Question 3. Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients. a. 32 ÷ 8 = ___ 3.2 ÷ 8 = ____ Answer:- 32 ÷ 8 = 4; 3.2 ÷ 8 = 0.4 The first quotients is 10 times larger than the second one. because the first is whole number and the second one is decimal number and the number were being divided into 8 equal numbers. second one is not whole number so it becomes 10 times lesser than the first one.

b. 81 ÷ 9 = __ 0.081 ÷ 9 = _____ Answer:- 81 ÷ 9 = 9; 0.081 ÷ 9 = 0.009 The first quotients is 1000 times larger than the second one. because the first is whole number and the second one is decimal number and the number were being divided into 9 equal numbers. second one is not whole number so it becomes 1000 times lesser than the first one.

Question 4. Are the quotients below reasonable? Explain your answers. a. 5.6 ÷ 7 = 8 Answer:- No!. The dividend is only about 6. If that is divided into 7 parts. Then the answer must be less than  whole number.

b. 56 ÷ 7 = 0.8 Answer:- No!. These are 56 ones ÷ 7 we should get 8 ones, not 8 tenths.

c. 0.56 ÷ 7 = 0.08 Answer:- Yes!. 0.56 ÷ 7 = 0.08.

Question 5. 12.48 milliliters of medicine were separated into doses of 4 mL each. How many doses were made? Answer:- 12.48 ÷ 4 = 12 ones ÷ 4 + 48 hundredths ÷ 4 3 ones + 12 hundredths 3.12 were made.

Question 6. The price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. What was the cost for a gallon of milk during the 1950s? Use a tape diagram, and show your calculations. Answer:-  3.28 ÷ 8 = ? = 32 tenths ÷ 8 + 8 hundredths ÷ 8 = 4 tenths + 1 hundredth = 0.41

Eureka Math Grade 5 Module 1 Lesson 13 Exit Ticket Answer Key

Question 1. Complete the sentences with the correct number of units, and then complete the equation. a. 2 groups of __ tenths is 1.8. 1.8 ÷ 2 = ___ Answer:-  2 groups of 9 tenths is 1.8. 1.8 ÷ 2 = 0.9

b. 4 groups of __ hundredths is 0.32. 0.32 ÷ 4 = ___ Answer:-  4 groups of 8 hundredths is 0.32. 0.32 ÷ 4 = 0.08

c. 7 groups of __ thousandths is 0.021. 0.021 ÷ 7 = ____ Answer:- 7 groups of 3 thousandths is 0.021. 0.021 ÷ 7 = 0.003

Question 2. Complete the number sentence. Express the quotient in unit form and then in standard form. a. 4.5 ÷ 5 = ____ tenths ÷ 5 = __ tenths = ____ Answer:- 4.5 ÷ 5 = 45 tenths ÷ 5 = 9 tenths = 0.9

b. 6.12 ÷ 6 = ____ ones ÷ 6 + ____ hundredths ÷ 6 = ____ ones + ____ hundredths = ____ Answer:- 6.12 ÷ 6 = 6 ones ÷ 6 + 12 hundredths ÷ 6 = 1 ones + 2 hundredths = 1.02

Eureka Math Grade 5 Module 1 Lesson 13 Homework Answer Key

Question 1. Complete the sentences with the correct number of units, and then complete the equation. a. 3 groups of ____ tenths is 1.5. 1.5 ÷ 3 = ____ Answer:- 3 groups of 5 tenths is 1.5. 1.5 ÷ 3 = 0.5

b. 6 groups of ____ hundredths is 0.24. 0.24 ÷ 6 = ____ Answer:- 6 groups of 4 hundredths is 0.24. 0.24 ÷ 6 = 0.04

c. 5 groups of ____ thousandths is 0.045. 0.045 ÷ 5 = ____ Answer:- 5 groups of 9 thousandths is 0.045. 0.045 ÷ 5 = 0.009

Question 2. Complete the number sentence. Express the quotient in units and then in standard form. a. 9.36 ÷ 3 = ____ ones ÷ 3 + ____ hundredths ÷ 3 = ____ ones + ____ hundredths = ____ Answer:-  9.36 ÷ 3 = 9 ones ÷ 3 +36 hundredths ÷ 3 = 3 ones + 12 hundredths = 3.12

b. 36.012 ÷ 3 = ____ ones ÷ 3 + ____ thousandths ÷ 3 = ____ ones + ____ thousandths = ____ Answer:-  36.012 ÷ 3 =36 ones ÷ 3 + 12 thousandths ÷ 3 = 12 ones + 4 thousandths = 12.004

c. 3.55 ÷ 5 = ____ tenths ÷ 5 + ____ hundredths ÷ 5 = ________ = ________ Answer:- 3.55 ÷ 5 = 35tenths ÷ 5 + 5 hundredths ÷ 5 = 7 tenths + 1 hundredth = 0.71

d. 3.545 ÷ 5 = ____________ = ____________________ = ____________________ Answer:- 3.545 ÷ 5 = 35 tenths ÷ 5 + 45 thousandths ÷ 5 = 7 tenths + 9 thousandths = 0.709

Question 3. Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients. a. 21 ÷ 7 = ____ 2.1 ÷ 7 = ____ Answer:- 21 ÷ 7 = 3; 2.1 ÷ 7 = 0.3

b. 48 ÷ 8 = ____ 0.048 ÷ 8 = ____ Answer:-  48 ÷ 8 = 6; 0.048 ÷ 8 = 0.006

Question 4. Are the quotients below reasonable? Explain your answers. a. 0.54 ÷ 6 = 9 Answer:- No!. The answer should be less than 0.54. It should have decimals in the answer be 0.09

b. 5.4 ÷ 6 = 0.9 Answer:- Yes!. The answer must be less than 5.4; 54 ÷ 6 = 9. So, The problem had one decimal So, the answer will too have decimals.

c. 54 ÷ 6 = 0.09 Answer:- No!. The answer must not have decimals in answer because the whole number doesn’t have.

Question 5. A toy airplane costs $4.84. It costs 4 times as much as a toy car. What is the cost of the toy car? Answer:-  4.84 ÷ 4 = 4 ones ÷ 4 + 8 tenths ÷ 4 hundredths ÷ 4 = 1 one + 2 tenths + 1 hundredth = 1.21

Question 6. Julian bought 3.9 liters of cranberry juice, and Jay bought 8.74 liters of apple juice. They mixed the two juices together and then poured them equally into 2 bottles. How many liters of juice are in each bottle? Answer:- 3.9 + 8.74 = 12.64 And divide it by 2 bottles so, 12.64 ÷ 2 = 6.32

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  1. Eureka Math Grade 1 Module 1 Lesson 5 Answer Key

    Answer: Eureka Math Grade 1 Module 1 Lesson 5 Homework Answer Key Question 1. Match the dice to show different ways to make 7. Then, draw a number bond for each pair of dice. Answer: Question 2. Make 2 number sentences. Use the number bonds above for help. Answer: Question 3. Fill in the missing number in the number bond.

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