eureka math grade 5 lesson 8 homework module 4

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

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

Leave a Comment Cancel Reply

You must be logged in to post a comment.

Standards Alignment

Assessments, professional learning, family engagement, case studies.

NEW EUREKA MATH 2 ® PILOT PACKAGE

Are you looking for new ways to advance equity and build knowledge in your math classroom with high-quality instructional materials? EdReports recently reviewed Eureka Math 2 . Scan the QR code or access the final report .

Check out our special pilot package for only $10 per student.

Shop Online

SEE THE SCIENCE OF READING IN ACTION

At Great Minds ® , we’re committed to ensuring our curricula are aligned to the latest research on how students best learn to read, write, and build knowledge.

Explore webinars, blogs, research briefs, and more to discover how we incorporate this important body of research.

FREE CLASSROOM PRINTABLES

At Great Minds®, we’re committed to supporting educators with high-quality curricula and resources.

Explore resources designed to aid students in science and engineering and spark classroom conversation.

Webinar Library

Instructional resources, trending topics, knowledge-building, the science of reading, lesson design, universal design for learning (udl), background knowledge.

Palm Springs, CA

Houston, TX

New Orleans, LA

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.

Bundles and Class Sets Available

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 .

every child is capable of greatness

• Job Openings
• Digital Support
• Print Support
• Media Inquiries

Let’s Connect

• Terms of Service
• Privacy Policy
• System Status
• CA Residents: Do Not Sell My Info

• Vacation Rentals
• Restaurants
• Things to do
• Elektrostal Tourism
• Elektrostal Hotels
• Elektrostal Bed and Breakfast
• Flights to Elektrostal
• Elektrostal Restaurants
• Things to Do in Elektrostal
• Elektrostal Travel Forum
• Elektrostal Photos
• Elektrostal Map
• All Elektrostal Hotels
• Elektrostal Hotel Deals
• Elektrostal Hostels
• Elektrostal Business Hotels
• Elektrostal Family Hotels
• Elektrostal Spa Resorts
• 3-stars Hotels in Elektrostal
• Elektrostal Hotels with Game room
• Elektrostal Hotels with Banquet hall
• Hotels near Electrostal History and Art Museum
• Hotels near Park of Culture and Leisure
• Hotels near Statue of Lenin
• Hotels near Museum and Exhibition Center
• Hotels near Museum of Labor Glory
• Hotels near (ZIA) Zhukovsky International Airport
• Hotels near (VKO) Vnukovo Airport
• Hotels near (DME) Domodedovo Airport
• Dreams Jade Resort & Spa
• Xafira Deluxe Resort & Spa
• Mandalay Bay Resort & Casino
• The LINQ Hotel + Experience
• Bellagio Las Vegas
• Hyatt Ziva Cap Cana
• Isla Bella Beach Resort
• Secrets Akumal Riviera Maya
• Hotel Xcaret Mexico
• Hotel Tapasoli
• Excellence Punta Cana
• Hilton Hawaiian Village Waikiki Beach Resort
• Hotel Chester
• Barcelo Bavaro Palace All Inclusive Resort
• Aruba Ocean Villas
• Popular All-Inclusive Resorts
• Popular Beach Resorts
• Popular Family Resorts
• Popular All-Inclusive Hotels
• Popular Hotels With Waterparks
• Popular Honeymoon Resorts
• Popular Luxury Resorts
• Popular All-Inclusive Family Resorts
• Popular Golf Resorts
• Popular Spa Resorts
• Popular Cheap Resorts
• All Elektrostal Restaurants
• Cafés in Elektrostal
• Chinese Restaurants in Elektrostal
• European Restaurants for Families in Elektrostal
• European Restaurants for Large Groups in Elektrostal
• European Restaurants for Lunch in Elektrostal
• Fast Food Restaurants in Elektrostal
• French Restaurants in Elektrostal
• Italian Restaurants in Elektrostal
• Japanese Restaurants in Elektrostal
• Pizza in Elektrostal
• Russian Restaurants in Elektrostal
• Seafood Restaurants in Elektrostal
• Vegetarian Restaurants in Elektrostal
• GreenLeaders
• Elektrostal
• Things to Do
• Travel Stories
• Rental Cars
• Add a Place
• Travel Forum
• Travelers' Choice
• Help Center
• Europe    
• Russia    
• Central Russia    
• Moscow Oblast    
• Elektrostal    
• Elektrostal Restaurants    

Ratings and reviews

Location and contact.

PEKIN, Elektrostal - Lenina Ave. 40/8 - Restaurant Reviews, Photos & Phone Number - Tripadvisor

• Bahasa Indonesia
• Eastern Europe
• Moscow Oblast

Elektrostal

Elektrostal Localisation : Country Russia , Oblast Moscow Oblast . Available Information : Geographical coordinates , Population, Area, Altitude, Weather and Hotel . Nearby cities and villages : Noginsk , Pavlovsky Posad and Staraya Kupavna .

Information

Find all the information of Elektrostal or click on the section of your choice in the left menu.

• Update data

Elektrostal Demography

Information on the people and the population of Elektrostal.

Elektrostal Geography

Geographic Information regarding City of Elektrostal .

Elektrostal Distance

Distance (in kilometers) between Elektrostal and the biggest cities of Russia.

Elektrostal Map

Locate simply the city of Elektrostal through the card, map and satellite image of the city.

Elektrostal Nearby cities and villages

Elektrostal weather.

Weather forecast for the next coming days and current time of Elektrostal.

Elektrostal Sunrise and sunset

Find below the times of sunrise and sunset calculated 7 days to Elektrostal.

Elektrostal Hotel

Our team has selected for you a list of hotel in Elektrostal classified by value for money. Book your hotel room at the best price.

Elektrostal Nearby

Below is a list of activities and point of interest in Elektrostal and its surroundings.

Elektrostal Page

• Information /Russian-Federation--Moscow-Oblast--Elektrostal#info
• Demography /Russian-Federation--Moscow-Oblast--Elektrostal#demo
• Geography /Russian-Federation--Moscow-Oblast--Elektrostal#geo
• Distance /Russian-Federation--Moscow-Oblast--Elektrostal#dist1
• Map /Russian-Federation--Moscow-Oblast--Elektrostal#map
• Nearby cities and villages /Russian-Federation--Moscow-Oblast--Elektrostal#dist2
• Weather /Russian-Federation--Moscow-Oblast--Elektrostal#weather
• Sunrise and sunset /Russian-Federation--Moscow-Oblast--Elektrostal#sun
• Hotel /Russian-Federation--Moscow-Oblast--Elektrostal#hotel
• Nearby /Russian-Federation--Moscow-Oblast--Elektrostal#around
• Page /Russian-Federation--Moscow-Oblast--Elektrostal#page
• Terms of Use
• Copyright © 2024 DB-City - All rights reserved
• Change Ad Consent Do not sell my data