my homework lesson 3 write numerical expressions answers

• 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 2 Lesson 3 Answer Key

Engage ny eureka math 5th grade module 2 lesson 3 answer key, eureka math grade 5 module 2 lesson 3 problem set answer key.

Question 1. Draw a model. Then, write the numerical expressions. a. The sum of 8 and 7, doubled

Answer: The sum of 8 and 7, doubled = 30.

b. 4 times the sum of 14 and 26

Answer: The sum of 14 and 26, 4 times = 160.

c. 3 times the difference between 37.5 and 24.5

Answer: The difference of 37.5 and 24.5, 3 times = 13.0.

d. The sum of 3 sixteens and 2 nines

Answer: The sum of 3 sixteens and 2 nines = 30.

e. The difference between 4 twenty-fives and 3 twenty-fives

Answer: The difference between 4 25 and 3 25 = 25.

f. Triple the sum of 33 and 27

Answer: The sum of 33 and 27, 3 times = 180.

Question 2. Write the numerical expressions in words. Then, solve.

Answer: 360.

Explanation: In the above-given question, given that, 12 x ( 5 + 25). 12 x (30). 360.

Answer: 550.

Explanation: In the above-given question, given that, (62 – 12) × 11 50 x 11 = 550.

Answer: 2300.

Explanation: In the above-given question, given that, (45 + 55) × 23. 100 x 23. 2300.

Answer: 76.

Explanation: In the above-given question, given that, (30 × 2) + (8 × 2) 60 + 16. 76.

Answer: 600 > 360.

Explanation: In the above-given question, given that, 24 x (20 + 5). 24 x 25. 600. (20 + 5) x 12. 30 x 12. 360. 600 > 360.

Answer: 487 > 513.

Explanation: In the above-given question, given that, 18 x 27. 487. 20 twenty-seven – 1 27. 540 – 27. 513. 487 < 513.

Answer: 171 = 171.

Question 4. Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board. Draw a model, and write the correct expression.

Answer: The sum of 7 fifteens and 38 fifteens = 675.

Question 5. Two students wrote the following numerical expressions. Angeline: (7 + 15) × (38 + 15) MeiLing: 15 × (7 + 38)   Are the students’ expressions equivalent to your answer in Problem 4? Explain your answer.

Answer: Yes, the student’s expressions equivalent.

Explanation: In the above-given question, given that, Angeline: (7 + 15) × (38 + 15) Meiling: 15 × (7 + 38)   105 + 570 = 675.

Question 6. A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant. a. Write an expression to show how to find the total number of oranges ordered.

Answer: The total number of oranges ordered= 480.

Explanation: In the above-given question, given that, A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant. ( 24 x 8 ) + ( 24 x 12) 192 + 288 480

b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.

Answer: The total number of oranges ordered= 960.

Explanation: In the above-given question, given that, A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant. ( 24 x 8 ) + ( 24 x 12) 192 + 288 480 + 480 = 960

c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.

Answer: The total number of oranges ordered in both weeks = 1440.

Explanation: In the above-given question, given that, 960 + 480 = 1440.

Eureka Math Grade 5 Module 2 Lesson 3 Exit Ticket Answer Key

Question 1. Draw a model. Then, write the numerical expressions. a. The difference between 8 forty-sevens and 7 forty-sevens

Answer: The difference of 8 forty-sevens and 7 forty-sevens = 47.

Explanation: In the above-given question, given that, the difference of 8 forty sevens and 7 forty-sevens. 8 x 47 – 7 x 47. 376 – 329. 47

b. 6 times the sum of 12 and 8

Answer: The sum of 12 and 8, 6 times = 120.

Explanation: In the above-given question, given that, the sum of 12 and 8 is 120. 20 + 20 + 20 + 20 + 20 + 20 = 120. 12 + 8 = 20.

Answer: 4836 > 2028.

Eureka Math Grade 5 Module 2 Lesson 3 Homework Answer Key

Question 1. Draw a model. Then, write the numerical expressions. a. The sum of 21 and 4, doubled b. 5 times the sum of 7 and 23 c. 2 times the difference between 49.5 and 37.5 d. The sum of 3 fifteens and 4 twos e. The difference between 9 thirty-sevens and 8 thirty-sevens f. Triple the sum of 45 and 55

Answer: The sum of 21 and 4, 2 times = 50.

Answer: The sum of 7 and 23, 5 times = 150.

Answer: 2 times the difference between 49.5 and 37.5 = 24.

Answer: The sum of 3 fifteens and 4 twos = 53.

Answer: The difference between 9 thirty-sevens and 8 thirty-sevens = 37.

Explanation: In the above-given question, given that, The difference between 9 thirty-sevens and 8 thirty-sevens 9 x 37 – 8 x 37. 333 – 296. 37.

Triple the sum of 45 and 55 = 300.

Explanation: In the above-given question, given that, Triple the sum of 45 and 55 45 + 55 = 100. 100 + 100 + 100 = 300.

Answer: 160.

Explanation: In the above-given question, given that, 10 x ( 2.5 + 13.5). 10 x (16). 160.

Answer: 220.

Explanation: In the above-given question, given that, 11 x ( 98 – 78). 11 x (20). 220.

Answer: 2600.

Explanation: In the above-given question, given that, 26 x ( 71 + 29). 26 x (30). 2600.

Answer: 3000.

Explanation: In the above-given question, given that, (50 x 2) + ( 15 + 2). 100 x (30). 3000.

Answer: 3906 > 1438.

Explanation: In the above-given question, given that, 93 x ( 40 + 2). 93 x (42). 3906. (40 + 2) x 36 42 x 36. 1438. 3906 > 1438.

Answer: 1525 > 1475.

Explanation: In the above-given question, given that, 61 x ( 25). 1525. 60 twenty fives minus one twenty-five. 60  x 25 – 25. 1500 – 25. 1475. 1525 > 1475.

Question 4. Larry claims that (14 + 12) × (8 + 12) and (14 × 12) + (8 × 12) are equivalent because they have the same digits and the same operations. a. Is Larry correct? Explain your thinking.

Answer: Yes, Larry was not correct.

Explanation: In the above-given question, given that, Larry claims that (14 + 12) x (8 + 12) and (14 x 12) + (8 x 12). 42 + 12 = 26. 8 + 12 = 20. 26 x 20 = 520. (14 x 12) + (8 x 12). 168 + 96. 264. 520 is not equal to 264.

b. Which expression is greater? How much greater?

Answer: (14 + 12) x (8 + 12) is greater. 256 is greater.

Explanation: In the above-given question, given that, 42 + 12 = 26. 8 + 12 = 20. 26 x 20 = 520. (14 x 12) + (8 x 12). 168 + 96. 264. 520 is not equal to 264.

Leave a Comment Cancel Reply

You must be logged in to post a comment.

• Notifications 0

• Add Friend ($5)

As a registered member you can:

• View all solutions for free
• Request more in-depth explanations for free
• Ask our tutors any math-related question for free
• Email your homework to your parent or tutor for free
• Grade 5 Eureka - Answer Keys Module 2

Yes, email page to my online tutor. ( if you didn't add a tutor yet, you can add one here )

Thank you for doing your homework!

Submit Your Question

Word Form and Numerical Form

Examples, solutions and videos to help Grade 5 students learn how to write and interpret numerical expressions and compare expressions using a visual model.

Related Pages Lesson Plans and Worksheets for Grade 5 Lesson Plans and Worksheets for all Grades More Lessons for Grade 5 Common Core For Grade 5

Common Core Standards: 5.OA.1, 5.OA.2, 5.NBT.5

New York State Common Core Math Grade 5, Module 2, Lesson 3. Worksheets for Grade 5

The following figure shows how to convert between numerical expressions and word expressions. Scroll down the page for more examples and solutions.

Lesson 3 Concept Development

What is an expression? An expression consists of numbers, symbols and operators grouped together that show the value of something.

Example: 2 × 3 is an expression.

Lesson 3 Problem Set

What is 3 times the sum of 26 and 4? Show a tape diagram and expression.

From word form to numerical expressions and diagrams.

• Draw a model. Then write the numerical expressions. a. The sum of 8 and 7, doubled b. 4 times the sum of 14 and 26 e. The difference between 4 twenty-fives and 3 twenty-fives
• Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board. a. Draw a model and write the correct expression.

What expression describes the total value of these 3 equal units? How about 3 times an unknown amount called A. Show a tape diagram and expression.

Problems 1–2: From word form to numerical expressions and diagrams.

• 3 times the sum of 26 and 4
• 6 times the difference between 60 and 51

Problem 4: From numerical expressions to word form.

• 8 × (43 – 13)

Problem 7: Comparison of expressions in word form and numerical form.

• 9 × 13 ___ 8 thirteens

Draw a model. Then write the numerical expressions. a. The sum of 8 and 7, doubled b. 4 times the sum of 14 and 26 c. 3 times the difference between 37.5 and 24.5 From numerical expressions to word form.

Write the numerical expressions in words. a. 12 × (5 + 25) b. (62 – 12) × 11

Comparison of expressions in word form and numerical form.

• Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you. a. 24 × (20 + 5) and (20 + 5) × 12 b. 18 × 27 and 20 twenty-sevens minus 1 twenty-seven c. 19 × 9 and 3 nineteens, tripled

Lesson 3 Homework

This video demonstrates how to model numerical expressions utilizing tape diagrams. You will also learn how to compare and evaluate expressions.

Draw a model then write the numerical expressions. a. The sum of 21 and 4, doubled b. 5 times the sum of 7 and 23

Write the numerical expressions in words. a. 10 × (2.5 + 13.5)

Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you. a. 93 × (40 + 2), (40 + 2) × 39

• Draw a model then write the numerical expressions. c. 2 times the difference between 49.5 and 37.5

• Draw a model then write the numerical expressions. e. The difference between 9 thirty-sevens and 8 thirty-sevens

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Addition (Basic)

Addition (Multi-Digit)

Algebra & Pre-Algebra

Comparing Numbers

Daily Math Review

Division (Basic)

Division (Long Division)

Hundreds Charts

Measurement

Multiplication (Basic)

Multiplication (Multi-Digit)

Order of Operations

Place Value

Probability

Skip Counting

Subtraction

Telling Time

Word Problems (Daily)

More Math Worksheets

Reading Comprehension

Reading Comprehension Gr. 1

Reading Comprehension Gr. 2

Reading Comprehension Gr. 3

Reading Comprehension Gr. 4

Reading Comprehension Gr. 5

Reading Comprehension Gr. 6

Reading & Writing

Reading Worksheets

Cause & Effect

Daily ELA Review

Fact & Opinion

Fix the Sentences

Graphic Organizers

Synonyms & Antonyms

Writing Prompts

Writing Story Pictures

Writing Worksheets

More ELA Worksheets

Consonant Sounds

Vowel Sounds

Consonant Blends

Consonant Digraphs

Word Families

More Phonics Worksheets

Early Literacy

Build Sentences

Sight Word Units

Sight Words (Individual)

More Early Literacy

Punctuation

Subjects and Predicates

More Grammar Worksheets

Spelling Lists

Spelling Grade 1

Spelling Grade 2

Spelling Grade 3

Spelling Grade 4

Spelling Grade 5

Spelling Grade 6

More Spelling Worksheets

Chapter Books

Charlotte's Web

Magic Tree House #1

Boxcar Children

More Literacy Units

Animal (Vertebrate) Groups

Butterfly Life Cycle

Electricity

Matter (Solid, Liquid, Gas)

Simple Machines

Space - Solar System

More Science Worksheets

Social Studies

Maps (Geography)

Maps (Map Skills)

More Social Studies

Back to School

Columbus Day

More Holiday Worksheets

Puzzles & Brain Teasers

Brain Teasers

Logic:  Addition Squares

Mystery Graph Pictures

Number Detective

Lost in the USA

More Thinking Puzzles

Teacher Helpers

Teaching Tools

Award Certificates

More Teacher Helpers

Pre-K and Kindergarten

Alphabet (ABCs)

Numbers and Counting

Shapes (Basic)

More Kindergarten

Worksheet Generator

Word Search Generator

Multiple Choice Generator

Fill-in-the-Blanks Generator

More Generator Tools

Full Website Index

5th Grade Common Core: 5.OA.1

Logged in members can use the Super Teacher Worksheets filing cabinet to save their favorite worksheets.

Quickly access your most used files AND your custom generated worksheets!

Please login to your account or become a member and join our community today to utilize this helpful feature.

PDF with answer key:

PDF no answer key:

5th Grade Games - Write and interpret numerical expressions.

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Connect with Us

Rate and keep track of your favorite activities! Sign Up to Rate Activities!

Create an Account!

Please pick a grade, elementary school math games, middle school math games, elementary school videos, middle school videos, elementary school worksheets, middle school worksheets, elementary school activities, middle school activities.

Teach Starter, part of Tes Teach Starter, part of Tes

Search  everything  in all resources

Writing Numerical Expressions – Digital and Printable Riddle Worksheets

Updated:  13 Oct 2022

Use these worksheets to match numerical expressions with different scenarios to reveal the answer to a math joke.

Editable:  Google Slides

Non-Editable:  PDF

Pages:  4 Pages

• Curriculum Curriculum:  CCSS, TEKS
• Adobe Reader (pdf) Sign up to Plus
• Google Slides Sign up to Plus

Have Fun With Numerical Expressions!

Are your students learning how to analyze word problems and write matching expressions? Understanding different situations and scenarios will help students understand those key math phrases to help them create mathematical expressions. Teach Starter has an engaging riddle worksheet for your students to practice this skill! 

Students analyze the phrase or word story and decide which expression fits out of the provided options. They will then write the matching letter above the number at the bottom of the page to determine the math joke’s answer. There are 2 versions of this resource, notated with 1 and 2 stars in the upper right-hand corner of the worksheet. 

An answer key is included with your download to make grading fast and easy! 

Tips for Differentiation + Scaffolding 

In addition to independent student work time, use this worksheet as an activity for:

• Guided math groups
• Lesson warm-up
• Lesson wrap-up
• Fast finishers  
• Homework assignment
• Whole-class review (via smartboard)

Challenge students to make a memory match game using phrases and expressions. Have students create a game where 3 descriptions match the provided expression, but one is incorrect. Then, they can hang them up and do a gallery walk or trade with a classmate.

For students who need additional support, encourage them to draw pictures representing each scenario to help them determine the numerical expression representing that situation. Additionally, this activity can be completed in a 1-on-1 or small group setting.

🖨️ Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource. There is also a digital version of this worksheet if you choose to assign it to your students in Google Classroom. 

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete. 

Turn this teaching resource into a sustainable activity by printing on cardstock and slipping it into a dry-erase sleeve. Students can record their answers with a whiteboard marker, then erase and reuse them. 

Additionally, project the worksheet onto a screen and work through it as a class by having students record their answers in their notebooks. 

This resource was created by Lorin Davies, a teacher in Texas and Teach Starter Collaborator.

Don’t stop there! We’ve got more activities to shorten your lesson planning time:  

teaching resource

Additive & multiplicative patterns – worksheet.

Recognize the difference between additive and multiplicative numerical patterns given in a table or graph with this worksheet.

Multiplicative & Additive Patterns – Match-Up

Practice identifying equations and finding unknown values in input-output tables with this match-up activity.

Algebraic Expressions & Equations – Worksheet

Write algebraic expressions and equations for 6 different word problems with this worksheet.

Teach Starter Publishing

We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

Suggest a Change

Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.

Report an Error

Did you spot an error on this resource? Please let us know and we will fix it shortly.

Are you having trouble downloading or viewing this resource? Please try the following steps:

• Check that you are logged in to your account
• For premium resources, check that you have a paid subscription
• Check that you have installed Adobe Reader ( download here )

If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .

You may also like

• Whole Number Operations →
• Word Problems →
• Order of Operations →
• Homework Activities →
• Worksheets →
• 5th Grade →
• Google Slide →

Percy's Place Value Puzzle

A worksheet to use to practice place value to the thousands place.

Identifying and Naming Angles – 4th Grade Math Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

Acute, Right and Obtuse Angles – 4th Grade Math Worksheet

Identify acute, right and obtuse angles with this cut-and-paste sorting worksheet.

Location Math Investigation - Blackbeard's Bounty

A mathematics investigation about location, embedded in a real-world context.

Multiplying and Dividing By 1,000 Poster

A set of posters to display in the classroom when learning to multiply and divide by 1,000.

Multiplying by 1,000 Worksheet

A worksheet for students to complete when learning how to multiply by 1,000.

Dividing by 1,000 Worksheet

A worksheet for students to complete when learning to divide by 1,000.

2-D Shape Bingo

Engage your students while consolidate learning about 2D shapes, their names and properties with 2D Shape Bingo!

Multiplication Facts PowerPoint - One Times Tables

A 28-slide PowerPoint to use when learning about multiplication.

Multiplication Facts PowerPoint - Two Times Tables