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## Eureka Math Grade 5 Module 4 Lesson 8 Answer Key

Engage ny eureka math 5th grade module 4 lesson 8 answer key, eureka math grade 5 module 4 lesson 8 problem set answer key.

Question 1. Laura and Sean find the product of \(\frac{2}{3}\) × 4 using different methods. Laura: It’s 2 thirds of 4. \(\frac{2}{3}\) × 4 = \(\frac{4}{3}\) + \(\frac{4}{3}\) = 2 × \(\frac{4}{3}\) = \(\frac{8}{3}\)

Sean: It’s 4 groups of 2 thirds. \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) = 4 × \(\frac{2}{3}\) = \(\frac{8}{3}\) Use words, pictures, or numbers to compare their methods in the space below. Answer: Laura: 2/3 * 4 = 4/3 + 4/3 = 2*4/3 = 8/3 Sean: 2/3 + 2/3 + 2/3 + 2/3 = 4 * 2/3 = 8/3 Both methods are correct. 2/3 *4 is 2 thirds of 4, and it will also have the same product as the 4 groups of 2 thirds.

Question 2. Rewrite the following addition expressions as fractions as shown in the example. Example: \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) = (\(\frac{4 × 2}{3}\)) = \(\frac{8}{3}\) a. \(\frac{7}{4}\) + \(\frac{7}{4}\) + \(\frac{7}{4}\) = Answer: 21/4

Explanation: The addition expression for the fraction given is : 7/4 + 7/4 + 7/4 = (3 × 7)/4 = 21/4

b. \(\frac{14}{5}\) + \(\frac{14}{5}\) = Answer: 28/5

Explanation: The addition expression for the fraction given is : 14/5 + 14/5 = (2×14)/5 = 28/5

c. \(\frac{4}{7}\) + \(\frac{4}{7}\) + \(\frac{4}{7}\) = Answer: 12/7

Explanation: 4/7 +4/7 +4/7 = (3×4)/7 = 12/7

b. \(\frac{3}{5}\) × 10 10 × \(\frac{3}{5}\) Answer: 6

Explanation: 3 ×10/5 = 3 × 2 = 6 10 × 3/5 = (10×3)/5 = 30/5 = 6

a. 14 × \(\frac{3}{7}\) 14 × \(\frac{3}{7}\) Answer: 6

Explanation: (14×3)/7 = (7×2×3)/7 = (7×6)/7 = 6 (14 × 3)/7 = (2×3)/1 = 6

b. \(\frac{3}{4}\) × 36 \(\frac{3}{4}\) ×36 Answer: 27

Explanation: (3×36)/4 = (3×4×9)/4 = (4×27)/4 = 27 (3×36)/4 = (3×9) = (3×9) = 27

c. 30 × \(\frac{13}{10}\) 30 × \(\frac{13}{10}\) Answer: 39

Explanation: (30×13)/10 = (10×3×13)/10 = (10×39)/10 = 39 (30 ×13)/10 = (3×13)/1 = 39

d. \(\frac{9}{8}\) ×32 \(\frac{9}{8}\) × 32 Answer: 36

Explanation: (9×32)/8 = (9×4×8)/8 = (36×8)/8 = 36 (9×32)/8 = (9×32)/8 = (9×4)/1 = 36

Question 5. Solve each problem any way you choose. a. \(\frac{1}{2}\) × 60 \(\frac{1}{2}\) minute = __________ seconds Answer: 30seconds

Explanation: The answer and the procedure are explained clearly in the below steps. 1 minute = 60 seconds (1×60)/2 = (1×30)/1 = 30

b. \(\frac{3}{4}\) × 60 \(\frac{3}{4}\) hour = __________ minutes Answer: 45 minutes

Explanation: The answer and the procedure are explained clearly in the below steps. 1 hour = 60 minutes (3×60)/4 = (3×15)/1 = 45

c. \(\frac{3}{10}\) × 1,000 \(\frac{3}{10}\) kilogram = __________ grams” Answer: 300 grams

Explanation: The answer and the procedure are explained clearly in the below steps. 1 kilogram = 1000 grams (3×1000)/1 = 300

d. \(\frac{4}{5}\) × 100 \(\frac{4}{5}\) meter = __________ centimeters Answer: 80 centimeters

Explanation: The answer and the procedure are explained clearly in the below steps. 1 meter (4×100)/5 = (4×20)/1 = 80

## Eureka Math Grade 5 Module 4 Lesson 8 Exit Ticket Answer Key

a. \(\frac{2}{3}\) × 15 \(\frac{2}{3}\) × 15 Answer: 10

Explanation: By solving the given question in two methods we could get the same answer i.e 10. The Explanation is given below. 2/3 × 15 = (2 ×15)/3 = 30/3 = 10 2/3 ×15 = (2×15)/3 = (2×5) = 10

b. \(\frac{5}{4}\) × 12 \(\frac{5}{4}\) × 12 Answer: 15

Explanation: By solving the given question in two methods we could get the same answer i.e 15. The process for the question is done below. 5/4 × 12 = (5×12)/4 = (60)/4 =15 5/4 ×12 = ( 5×12)/4 = (5×3) =15

## Eureka Math Grade 5 Module 4 Lesson 8 Homework Answer Key

Question 1. Rewrite the following expressions as shown in the example. Example: \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) + \(\frac{2}{3}\) = (\(\frac{4 × 2}{3}\)) = \(\frac{8}{3}\)

a. \(\frac{5}{3}\) + \(\frac{5}{3}\) + \(\frac{5}{3}\) Answer: 5

Explanation: (\(\frac{3 × 5}{3}\)) = \(\frac{15}{3}\) =5

b. \(\frac{13}{5}\) + \(\frac{13}{5}\) Answer: \(\frac{26}{5}\)

Explanation: (\(\frac{2 × 13}{5}\)) = \(\frac{26}{5}\)

c. \(\frac{9}{4}\) + \(\frac{9}{4}\) + \(\frac{9}{4}\) Answer: \(\frac{27}{4}\)

Expalanation: (\(\frac{3 × 9}{4}\)) = \(\frac{27}{4}\)

a. \(\frac{3}{4}\) × 16 \(\frac{3}{4}\) × 16 Answer: 12

Explanation: (\(\frac{3 × 16}{4}\)) = \(\frac{48}{4}\) = 12 (\(\frac{3 × 16}{4}\)) = \(\frac{3 × 4}{1}\) = 12

b. \(\frac{4}{3}\) × 12 \(\frac{4}{3}\) × 12 Answer: 16

Explanation: (\(\frac{4 × 12}{3}\)) = \(\frac{48}{3}\) = 16 (\(\frac{4 × 12}{3}\)) = \(\frac{4 × 12}{1}\) = 16

c. 40 × \(\frac{11}{10}\) 40 × \(\frac{11}{10}\) Answer: 44

Explanation: (\(\frac{40 × 11}{10}\)) = \(\frac{440}{10}\) = 44 (\(\frac{40× 11}{10}\)) = \(\frac{4 × 11}{1}\) = \(\frac{44}{1}\) = 44

d. \(\frac{7}{6}\) × 36 \(\frac{7}{6}\)× 36 Answer: 42

Explanation: (\(\frac{7 × 36}{6}\)) = \(\frac{252}{6}\) = 42 (\(\frac{7 × 36}{6}\)) = \(\frac{7 × 6}{1}\) = 42

e. 24 × \(\frac{5}{8}\) 24 × \(\frac{5}{8}\) Answer: 15

Explanation: (\(\frac{24 × 5}{8}\)) = \(\frac{126}{8}\) = 15 (\(\frac{24 × 5}{8}\)) = \(\frac{3 × 5}{1}\) = 15

f. 18 × \(\frac{5}{12}\) 18 × \(\frac{5}{12}\) Answer: 7 1/2

Explanation: (\(\frac{18 × 5}{12}\)) = \(\frac{90}{12}\) = 7 6/12 = 7 1/2 (\(\frac{18 × 5}{12}\)) = \(\frac{3 × 5 }{2}\) = \(\frac{15}{2}\)= 7 1/2

g. \(\frac{10}{9}\) × 21 \(\frac{10}{9}\) × 21 Answer: 23 3/9 = 23 1/3

Explanation: (\(\frac{10 × 21}{9}\)) = \(\frac{210}{9}\) = 23 3/9 = 23 1/3 (\(\frac{10 × 21}{9}\)) = \(\frac{10 × 7}{3}\) = \(\frac{70}{3}\) = 23 1/3

Question 3. Solve each problem any way you choose.

a. \(\frac{1}{3}\) × 60 \(\frac{1}{3}\) minute = _________ seconds Answer: 20 seconds

Explanation: (\(\frac{1 × 60}{3}\)) = \(\frac{60}{3\) = 20

b. \(\frac{4}{5}\) × 60 \(\frac{4}{5}\) hour = _________ minutes Answer: 48 minutes

Explanation: (\(\frac{4 × 60}{5}\)) = \(\frac{48}{1\) = 48

c. \(\frac{7}{10}\) × 1000 \(\frac{7}{10}\) kilogram = _________ grams Answer: 700 grams

Explanation: (\(\frac{7 × 1000}{10}\)) = \(\frac{700}{1\) = 700

d. \(\frac{3}{5}\)× 100 \(\frac{3}{5}\) meter = _________ centimeters Answer: 60 centimeres

Explanation: (\(\frac{3 × 100}{5}\)) = \(\frac{60}{1\) = 60

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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.

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.

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.

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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Eureka Math Grade 5 Module 4 Lesson 8 Problem Set Answer Key. Question 1. Laura and Sean find the product of 23 × 4 using different methods. Laura: It's 2 thirds of 4. 23 × 4 = 43 + 43 = 2 × 43 = 83. Sean: It's 4 groups of 2 thirds. 23 + 23 + 23 + 23 = 4 × 23 = 83. Use words, pictures, or numbers to compare their methods in the space below.

Relate a fraction of a set to the repeated addition interpretation of fraction multiplication, common core, fraction of a number, simplify fractions, help st...

Multiplication and Division of Fractions and Decimal Fractions. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.

Engage NY // Eureka Math Grade 5 Module 4 Lesson 8 Homework. Engage NY // Eureka Math Grade 5 Module 4 Lesson 8 Homework.

Unit 5: Module 5: Addition and multiplication with volume and area. 0/1400 Mastery points. Topic A: Concepts of volume Topic B: Volume and the operations of multiplication and addition Topic C: Area of rectangular figures with fractional side lengths. Topic D: Drawing, analysis, and classification of two-dimensional shapes.

Eureka Essentials: Grade 4. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems. Files for printing or for projecting on the screen.

@laurasetness6589 Connect repeated addition of fractions to multiplication, use cross-canceling as a strategy

5 GRADE Mathematics Curriculum GRADE 5 • MODULE 4 Module 4: Multiplication and Division of Fractions and Decimal Fractions Table of Contents GRADE 5 • MODULE 4 Multiplication and Division of Fractions and Decimal Fractions

As the creator of Engage NY Math and Eureka Math, Great Minds is the only place where you can get print editions of the PK-12 curriculum.Our printed materials are available in two configurations: Learn, Practice, Succeed, or student workbooks, teacher editions, assessment and fluency materials. The Learn, Practice, Succeed configuration is available for grades K-8 and offers teachers ...

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.

Eureka Math. Eureka Math Grade 8 Module 4 Teacher Edition FL State Adoption Bid # 3693. ISBN 978-1-64054-364-5 Printed in the U.S.A. This book may be purchased from the publisher at eureka-math.org. 10 9 8 7 6 5 4 3 2 1 G8-M4-UTE-1.3.-05.2018 Published by ...

Unit 7: Module 7: Introduction to irrational numbers using geometry. Course challenge Test your knowledge of the skills in this course. Start Course challenge. Learn eighth grade math aligned to the Eureka Math/EngageNY curriculum —functions, linear equations, geometric transformations, and more.

Elektrostal , lit: Electric and Сталь , lit: Steel) is a city in Moscow Oblast, Russia, located 58 kilometers east of Moscow. Population: 155,196 ; 146,294 ...

Engage NY // Eureka Math Grade 5 Module 5 Lesson 4 Homework. Engage NY // Eureka Math Grade 5 Module 5 Lesson 4 Homework.

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It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 8.

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Elektrostal is a city in Moscow Oblast, Russia, located 58 kilometers east of Moscow. Elektrostal has about 158,000 residents. Mapcarta, the open map.

EngageNY/Eureka Math Grade 4 Module 5 Lesson 8For more videos, please visit http://bit.ly/eurekapusdPLEASE leave a message if a video has a technical difficu...